Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (18%)

Memory

27.6MiB live, 1 330.2MiB allocated

Samples

989.0ms	6 402×	1	valid
136.0ms	1 854×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 804.0ms

ival-log1p: 339.0ms (42.2% of total)

ival-log: 208.0ms (25.9% of total)

adjust: 119.0ms (14.8% of total)

ival-sub: 72.0ms (9% of total)

ival->: 23.0ms (2.9% of total)

ival-<: 18.0ms (2.2% of total)

ival-and: 11.0ms (1.4% of total)

exact: 11.0ms (1.4% of total)

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

Bogosity

explain156.0ms (2%)

Memory

7.0MiB live, 166.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
246	-	3	(10.990225315081974)	`(-.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	243	4

Confusion

	Predicted +	Predicted -
+	243	3
-	0	10

Precision

1.0

Recall

0.9878048780487805

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	243	2	1
-	0	2	8

Precision?

0.9919028340080972

Recall?

0.9959349593495935

Freqs

test

number	freq
0	13
1	243

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	400×	1	valid
7.0ms	112×	0	valid

Compiler

Compiled 83 to 40 computations (51.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 15.0ms (32.1% of total)

ival-log1p: 14.0ms (29.9% of total)

adjust: 10.0ms (21.4% of total)

ival-sub: 4.0ms (8.6% of total)

ival-add: 3.0ms (6.4% of total)

ival-true: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

preprocess24.0ms (0.3%)

Memory

-16.6MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff	192	(log.f64 (+.f64 N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize43.0ms (0.5%)

Memory

11.9MiB live, 48.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(log.f64 N)
accuracy	48.840115734040396	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

31.0ms	200×	1	valid
4.0ms	56×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log1p: 8.0ms (30.7% of total)

ival-log: 6.0ms (23% of total)

ival-sub: 6.0ms (23% of total)

adjust: 4.0ms (15.4% of total)

ival-add: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory

-16.4MiB live, 71.4MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
34.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
18.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify160.0ms (2%)

Memory

17.7MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	250	234
2	588	233
3	1591	227
4	4186	223
5	6252	223
6	7306	223
0	8036	214

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite171.0ms (2.1%)

Memory

10.9MiB live, 118.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

eval82.0ms (1%)

Memory: -35.8MiB live, 89.1MiB allocated
Compiler: Compiled 12 538 to 1 566 computations (87.5% saved)

prune24.0ms (0.3%)

Memory

35.8MiB live, 35.8MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	425	22	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	426	22	448

Accuracy

99.7%

Counts

448 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
▶	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	23.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.6%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	23.7%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
▶	23.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.7%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (-.f64 N #s(literal 1 binary64))))
	23.6%	(*.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
	27.1%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	26.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 532 to 588 computations (61.6% saved)

simplify158.0ms (2%)

Memory

1.8MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	32960	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
cost-diff	39424	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	19776	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	39616	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	0	(log.f64 N)
cost-diff	0	(log1p.f64 N)
cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	382
0	70	378
1	132	340
2	347	321
3	1199	315
4	3875	307
0	8478	307

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (2.9%)

Memory

-14.3MiB live, 269.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.549160009768442	(pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy	0.6807977051372825	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.6961290039794927	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	48.32105234574394	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
accuracy	0.4889450195368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5185737793053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5302925293053261	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	48.517229454389735	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0	(log.f64 N)
accuracy	0.0078125	(log1p.f64 N)
accuracy	48.840115734040396	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.835546689985643	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0703125	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.16796875	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.33984375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.589695317845877	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Samples

153.0ms	190×	1	valid
44.0ms	66×	0	valid

Compiler

Compiled 837 to 80 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-add: 28.0ms (21.2% of total)

ival-div: 18.0ms (13.6% of total)

adjust: 15.0ms (11.3% of total)

ival-pow2: 15.0ms (11.3% of total)

ival-sub: 12.0ms (9.1% of total)

ival-mult: 11.0ms (8.3% of total)

ival-pow: 10.0ms (7.6% of total)

ival-log1p: 9.0ms (6.8% of total)

const: 7.0ms (5.3% of total)

ival-log: 6.0ms (4.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series108.0ms (1.4%)

Memory

-6.7MiB live, 117.0MiB allocated

Counts

23 → 168

Calls

Call 1

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

Outputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 1 N)
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(log N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (pow (log N) 3))) (+ (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (* 2 (/ (- (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N))))) (log N))))))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 5))
(- (* -1 (* N (pow (log N) 4))) (pow (log N) 5))
(- (* N (- (* -1 (* N (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))))) (pow (log N) 4))) (pow (log N) 5))
(- (* N (- (* N (- (* N (- (pow (log N) 2) (* (pow (log N) 3) (- (* 1/3 (log N)) 1)))) (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))))) (pow (log N) 4))) (pow (log N) 5))
(* (pow N 3) (pow (log N) 2))
(* (pow N 3) (+ (* N (+ (log N) (* -3/2 (pow (log N) 2)))) (pow (log N) 2)))
(* (pow N 3) (+ (* N (+ (log N) (+ (* -3/2 (pow (log N) 2)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* -1/2 (log N)) (* 7/4 (pow (log N) 2))))))))) (pow (log N) 2)))
(* (pow N 3) (+ (* N (+ (log N) (+ (* -3/2 (pow (log N) 2)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* -1/2 (log N)) (+ (* 7/4 (pow (log N) 2)) (* N (- (+ (* -15/8 (pow (log N) 2)) (+ (* -3/2 (+ 1 (* -1/2 (log N)))) (+ (* 1/3 (log N)) (* 7/4 (log N))))) 1)))))))))) (pow (log N) 2)))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(pow (log N) 3)
(pow (log N) 4)
(+ (* 2 (* N (pow (log N) 3))) (pow (log N) 4))
(+ (* N (+ (* 2 (pow (log N) 3)) (* N (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2))))) (pow (log N) 4))
(+ (* N (+ (* 2 (pow (log N) 3)) (* N (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (+ (* N (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1))))) (pow (log N) 2)))))) (pow (log N) 4))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ (+ 1 (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (- (+ (* -2 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N)))))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -4/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))) N)
(* 4 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (* 4 (pow (log (/ 1 N)) 2)))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))))) (/ 1 (pow N 3))) N)
(* -2 (pow (log (/ 1 N)) 3))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
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Time

Variable

Point

Expression

44.0ms

inf

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

37.0ms

-inf

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

17.0ms

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

simplify251.0ms (3.1%)

Memory

-11.8MiB live, 219.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1236	14769
1	4223	12233
0	8964	11664

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 1 N)
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(log N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (pow (log N) 3))) (+ (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (* 2 (/ (- (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N))))) (log N))))))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 5))
(- (* -1 (* N (pow (log N) 4))) (pow (log N) 5))
(- (* N (- (* -1 (* N (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))))) (pow (log N) 4))) (pow (log N) 5))
(- (* N (- (* N (- (* N (- (pow (log N) 2) (* (pow (log N) 3) (- (* 1/3 (log N)) 1)))) (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))))) (pow (log N) 4))) (pow (log N) 5))
(* (pow N 3) (pow (log N) 2))
(* (pow N 3) (+ (* N (+ (log N) (* -3/2 (pow (log N) 2)))) (pow (log N) 2)))
(* (pow N 3) (+ (* N (+ (log N) (+ (* -3/2 (pow (log N) 2)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* -1/2 (log N)) (* 7/4 (pow (log N) 2))))))))) (pow (log N) 2)))
(* (pow N 3) (+ (* N (+ (log N) (+ (* -3/2 (pow (log N) 2)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* -1/2 (log N)) (+ (* 7/4 (pow (log N) 2)) (* N (- (+ (* -15/8 (pow (log N) 2)) (+ (* -3/2 (+ 1 (* -1/2 (log N)))) (+ (* 1/3 (log N)) (* 7/4 (log N))))) 1)))))))))) (pow (log N) 2)))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(pow (log N) 3)
(pow (log N) 4)
(+ (* 2 (* N (pow (log N) 3))) (pow (log N) 4))
(+ (* N (+ (* 2 (pow (log N) 3)) (* N (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2))))) (pow (log N) 4))
(+ (* N (+ (* 2 (pow (log N) 3)) (* N (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (+ (* N (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1))))) (pow (log N) 2)))))) (pow (log N) 4))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ (+ 1 (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (- (+ (* -2 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N)))))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -4/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))) N)
(* 4 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (* 4 (pow (log (/ 1 N)) 2)))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))))) (/ 1 (pow N 3))) N)
(* -2 (pow (log (/ 1 N)) 3))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(/ (- (+ 1 (+ (* -4 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) (* 2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* -4 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))))))) (+ (* 2 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -4 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* 2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ (pow (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) N)
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(pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64))
(+ (* -2 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))
(fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -3 binary64))) N) #s(literal -2 binary64) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) N)) (* 2 (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))
(-.f64 (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* 2 (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (+ (* 2 (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2))) N)) (* 2 (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))
(-.f64 (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -3 binary64) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -3 binary64)))) N)) (neg.f64 N))) N))

rewrite361.0ms (4.5%)

Memory

-0.5MiB live, 169.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	296
0	70	223
1	335	204
2	2562	204
0	8819	204

Stop Event

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

Counts

23 → 1 215

Calls

Call 1

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

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

eval435.0ms (5.5%)

Memory: 23.6MiB live, 359.6MiB allocated
Compiler: Compiled 94 928 to 7 030 computations (92.6% saved)

prune102.0ms (1.3%)

Memory

-16.5MiB live, 153.8MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 682	29	1 711
Fresh	4	13	17
Picked	1	4	5
Done	0	0	0
Total	1 687	46	1 733

Accuracy

99.9%

Counts

1 733 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.2%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 5 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 5 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	25.6%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.7%	(/.f64 (fma.f64 (.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N)) (log.f64 N) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	21.4%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	24.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	23.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
✓	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	21.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	21.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))
	24.5%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
	23.7%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 4 binary64)))
	23.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	95.4%	(/.f64 #s(approx (- (* (pow (log (+ 1 N)) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log N) 3))) (/.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) (log.f64 N) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (pow.f64 N #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 3 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))) (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal -2 binary64) (log.f64 N)))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 3 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (fma.f64 (log.f64 N) #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))))) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 4/3 binary64) (log.f64 N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 (log.f64 N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))))) N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	23.6%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
✓	23.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.7%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (-.f64 N #s(literal 1 binary64))))
	27.1%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	26.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (/.f64 N (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal -1 binary64))) (.f64 (/.f64 N (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))

Compiler

Compiled 4 005 to 1 596 computations (60.1% saved)

simplify122.0ms (1.5%)

Memory

-6.4MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))))
cost-diff	128	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))
cost-diff	13568	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	19776	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	503
0	97	499
1	165	487
2	337	481
3	1031	475
4	3600	473
5	7263	473
0	8115	472

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (3.1%)

Memory

9.6MiB live, 413.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6807977051372825	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.6961290039794927	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.8619654786536596	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	47.0279926058369	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0.4381637695368841	(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))
accuracy	0.4889450195368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5302925293053261	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	47.379310479492084	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.015625	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	47.223818268324735	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.00390625	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.05078125	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.589695317845877	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy	9.994666605985234	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.0703125	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.16796875	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.33984375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.589695317845877	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Samples

174.0ms	194×	1	valid
22.0ms	62×	0	valid

Compiler

Compiled 1 049 to 112 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 28.0ms (19.1% of total)

adjust: 18.0ms (12.3% of total)

ival-log: 17.0ms (11.6% of total)

ival-pow2: 15.0ms (10.2% of total)

ival-mult: 15.0ms (10.2% of total)

ival-sub: 12.0ms (8.2% of total)

ival-pow: 12.0ms (8.2% of total)

ival-log1p: 9.0ms (6.1% of total)

ival-add: 9.0ms (6.1% of total)

const: 7.0ms (4.8% of total)

ival-neg: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series109.0ms (1.4%)

Memory

-6.7MiB live, 66.3MiB allocated

Counts

26 → 173

Calls

Call 1

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

Outputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2)))))))))))
(* N (log N))
(* N (+ (log N) (* N (+ 1 (* -1/2 (log N))))))
(* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1)))))))
(* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (+ (* 1/3 (log N)) (* N (+ 11/12 (* -1/4 (log N))))) 1)))))))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(* -1 (/ (pow N 3) (pow (log N) 4)))
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (+ (* 2 (/ 1 (pow (log N) 5))) (* N (- (* N (- (* 15/8 (/ 1 (pow (log N) 4))) (+ (* -2 (/ (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))) (log N))) (+ (* -1 (/ (- (* 2/3 (log N)) 1) (pow (log N) 6))) (/ (* (+ 1 (* -1 (log N))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N)))))))))) (/ 1 (pow (log N) 4))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(pow (log N) 3)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
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Calls

3 calls:

Time

Variable

Point

Expression

35.0ms

inf

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

31.0ms

-inf

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

11.0ms

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

simplify240.0ms (3%)

Memory

33.2MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1206	15961
1	4054	14162
0	8421	13506

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 172

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (* -1/3 (pow (log N) 2)))))))))))
(* N (log N))
(* N (+ (log N) (* N (+ 1 (* -1/2 (log N))))))
(* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1)))))))
(* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (+ (* 1/3 (log N)) (* N (+ 11/12 (* -1/4 (log N))))) 1)))))))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(* -1 (/ (pow N 3) (pow (log N) 4)))
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (- (* N (+ (* 3/2 (/ 1 (pow (log N) 4))) (+ (* 2 (/ 1 (pow (log N) 5))) (* N (- (* N (- (* 15/8 (/ 1 (pow (log N) 4))) (+ (* -2 (/ (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N))))) (log N))) (+ (* -1 (/ (- (* 2/3 (log N)) 1) (pow (log N) 6))) (/ (* (+ 1 (* -1 (log N))) (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5))))) (pow (log N) 2)))))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (pow (log N) 6))) (+ (* 7/4 (/ 1 (pow (log N) 4))) (* 2 (/ (+ (* 3/2 (/ 1 (pow (log N) 4))) (* 2 (/ 1 (pow (log N) 5)))) (log N)))))))))) (/ 1 (pow (log N) 4))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(pow (log N) 3)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
(- (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* -1/3 (pow (log (/ 1 N)) 2)) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 4 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))))))
(* 2 (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (pow (log (/ 1 N)) 2))))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2)))))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))))))))) (/ 1 (pow N 3)))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(- (* -1 (/ (* (pow (log (/ 1 N)) 3) (- (pow (log (/ 1 N)) 2) (* 2 (pow (log (/ 1 N)) 2)))) (- (pow (log (/ 1 N)) 4) (* 4 (pow (log (/ 1 N)) 4))))) (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))
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Outputs
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(/ (- (* 1/3 N) 1/4) (pow N 4))
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(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -2 binary64) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) N)) (neg.f64 N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) N) #s(literal 2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) (neg.f64 N))) N))

rewrite259.0ms (3.3%)

Memory

-15.9MiB live, 141.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	347
0	97	342
1	420	324
2	3179	322
0	8392	322

Stop Event

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

Counts

26 → 797

Calls

Call 1

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

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

eval418.0ms (5.2%)

Memory: 21.9MiB live, 286.3MiB allocated
Compiler: Compiled 91 416 to 7 000 computations (92.3% saved)

prune108.0ms (1.4%)

Memory

-27.9MiB live, 107.6MiB allocated

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1 671	17	1 688
Fresh	19	18	37
Picked	3	2	5
Done	0	4	4
Total	1 693	41	1 734

Accuracy

99.9%

Counts

1 734 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(fma.f64 (.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.7%	(fma.f64 (log.f64 N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N))) (-.f64 (log1p.f64 N) (/.f64 (pow.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))
	25.5%	(/.f64 (fma.f64 (fma.f64 (log1p.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.2%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 5 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 5 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.7%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
▶	25.6%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.3%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (fma.f64 N N (neg.f64 N)))) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
▶	24.9%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.7%	(/.f64 (fma.f64 (.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N)) (log.f64 N) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 2 binary64)) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
✓	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	21.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	21.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))
	24.0%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log1p.f64 N) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	23.6%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
✓	23.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.7%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (-.f64 N #s(literal 1 binary64))))
	27.1%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	26.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	26.1%	(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
▶	93.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Compiler

Compiled 2 730 to 1 286 computations (52.9% saved)

simplify137.0ms (1.7%)

Memory

33.8MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))
cost-diff	128	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
cost-diff	5952	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	12800	(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
cost-diff	384	(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
cost-diff	768	(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	13312	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	19776	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) N)
cost-diff	192	(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
cost-diff	192	(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
cost-diff	320	(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
cost-diff	896	(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
cost-diff	192	(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	1152	(*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	644
0	118	640
1	224	612
2	522	597
3	1413	545
4	4766	518
0	8471	510

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
(neg.f64 N)
N
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal 1/24 binary64) N)
#s(literal 1/24 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
N
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
#s(literal -1 binary64)
N
(/.f64 #s(literal -1 binary64) N)
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))
(log.f64 (log1p.f64 N))
#s(literal 3 binary64)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 N (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 N (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 N (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
(-.f64 (-.f64 N (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal -1/2 binary64))
(neg.f64 N)
N
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal 1/24 binary64) N)
#s(literal 1/24 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64)))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
(-.f64 N #s(literal -1/2 binary64))
N
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
N
(/.f64 #s(literal -1 binary64) N)
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(log1p.f64 N)
(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(neg.f64 (log1p.f64 N))
(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
(fma.f64 (log.f64 N) (fma.f64 (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))
(*.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 N))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N)) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N)))
(log.f64 (log1p.f64 N))
#s(literal 3 binary64)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))

localize348.0ms (4.4%)

Memory

-7.2MiB live, 336.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7872430051365266	(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
accuracy	0.8398555177274275	(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))
accuracy	0.8424342286536596	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	46.45673320473622	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
accuracy	0.4264450195368841	(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
accuracy	0.4772262695368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5146675293053261	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	46.45673320473622	(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
accuracy	0	(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) N)
accuracy	0.1875	(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
accuracy	46.41646013464173	(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) N)
accuracy	0.046875	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
accuracy	2.422016710416897	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
accuracy	4.202451587453368	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
accuracy	0.32421875	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.33203125	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.414974651105837	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))
accuracy	2.422016710416897	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))

Samples

215.0ms	187×	1	valid
32.0ms	64×	0	valid
17.0ms	5×	5	exit

Compiler

Compiled 1 276 to 140 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-div: 39.0ms (18.6% of total)

ival-log: 36.0ms (17.2% of total)

ival-mult: 29.0ms (13.9% of total)

adjust: 25.0ms (11.9% of total)

ival-add: 16.0ms (7.6% of total)

ival-sub: 15.0ms (7.2% of total)

const: 14.0ms (6.7% of total)

ival-log1p: 9.0ms (4.3% of total)

ival-pow2: 8.0ms (3.8% of total)

ival-exp: 7.0ms (3.3% of total)

ival-neg: 7.0ms (3.3% of total)

ival-pow: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series113.0ms (1.4%)

Memory

25.0MiB live, 144.5MiB allocated

Counts

29 → 198

Calls

Call 1

Inputs
(*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) N)
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
(+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1/24 binary64) N)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(/.f64 #s(literal 1/2 binary64) N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))

Outputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
1/2
(+ 1/2 N)
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ 1 N)
(/ (+ 1 N) N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
-1
(- (* -1 N) 1)
(/ -1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* N (- (+ (* -1 (/ (- (log N) 1) (pow (log N) 2))) (/ 1 (log N))) (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (+ (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))) (/ 1 (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ (* -1 (- (log N) 1)) (* -1/3 (pow (log N) 2))))))))))
(* -1 N)
(* N (- (* 1/2 N) 1))
(* N (- (* N (+ 1/2 (* -1/3 N))) 1))
(* N (- (* N (+ 1/2 (* N (- (* 1/4 N) 1/3)))) 1))
1
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(exp (- (* 4 (log N)) (* 3 (log N))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* -1/2 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* 1/3 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* N (+ (* -1/4 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))) (* 1/3 (exp (- (* 4 (log N)) (* 3 (log N))))))))))
(* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)))
(+ (* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (* N (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N))))))
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Calls

3 calls:

Time

Variable

Point

Expression

50.0ms

-inf

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27.0ms

inf

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24.0ms

((* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* N (/ 1/2 N)) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (* (+ (* -1 N) -1) (/ -1 N)) (log (* (+ (* -1 N) -1) (/ -1 N))) (+ (* -1 N) -1) (/ -1 N) (/ (+ (* (* (+ (log N) (log (+ 1 N))) (neg (log (/ (- N 1) (+ (* N N) -1))))) (log (+ 1 N))) (* (neg (pow (log N) 2)) (+ (log N) (log (+ 1 N))))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (* (+ (log N) (log (+ 1 N))) (neg (log (/ (- N 1) (+ (* N N) -1))))) (log (+ 1 N))) (* (neg (pow (log N) 2)) (+ (log N) (log (+ 1 N))))) (log (/ (- N 1) (+ (* N N) -1))) (/ (- N 1) (+ (* N N) -1)) (exp (- (log (pow (log (+ 1 N)) 4)) (* (log (log (+ 1 N))) 3))) (/ (+ (* (* (+ (log N) (log (+ 1 N))) (log (+ 1 N))) (log (+ 1 N))) (* (neg (pow (log N) 2)) (+ (log N) (exp (- (log (pow (log (+ 1 N)) 4)) (* (log (log (+ 1 N))) 3)))))) (pow (+ (log N) (log (+ 1 N))) 2)) (+ (* (* (+ (log N) (log (+ 1 N))) (log (+ 1 N))) (log (+ 1 N))) (* (neg (pow (log N) 2)) (+ (log N) (exp (- (log (pow (log (+ 1 N)) 4)) (* (log (log (+ 1 N))) 3)))))) (+ (log N) (exp (- (log (pow (log (+ 1 N)) 4)) (* (log (log (+ 1 N))) 3)))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (pow (+ (log N) (log (+ 1 N))) 2) (pow (log N) 2) (* (+ (log N) (log (+ 1 N))) (neg (log (/ (- N 1) (+ (* N N) -1))))) (pow (log (+ 1 N)) 4) (- (log (pow (log (+ 1 N)) 4)) (* (log (log (+ 1 N))) 3)))

simplify240.0ms (3%)

Memory

-1.1MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1325	17357
1	4388	15394
0	8720	14650

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 197

Calls

Call 1

Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
1/2
(+ 1/2 N)
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ 1 N)
(/ (+ 1 N) N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
-1
(- (* -1 N) 1)
(/ -1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* N (- (+ (* -1 (/ (- (log N) 1) (pow (log N) 2))) (/ 1 (log N))) (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (+ (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))) (/ 1 (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(+ (* -1 (* N (pow (log N) 2))) (* -1 (pow (log N) 3)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* 1/2 (pow (log N) 2)))))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* 1/2 (pow (log N) 2)) (* N (+ (* -1 (- (log N) 1)) (* -1/3 (pow (log N) 2))))))))))
(* -1 N)
(* N (- (* 1/2 N) 1))
(* N (- (* N (+ 1/2 (* -1/3 N))) 1))
(* N (- (* N (+ 1/2 (* N (- (* 1/4 N) 1/3)))) 1))
1
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(exp (- (* 4 (log N)) (* 3 (log N))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* -1/2 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* 1/3 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* N (+ (* -1/4 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))) (* 1/3 (exp (- (* 4 (log N)) (* 3 (log N))))))))))
(* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)))
(+ (* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (* N (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N))))))
(+ (* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (* N (- (+ (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* N (- (+ (* -1/3 (exp (- (* 4 (log N)) (* 3 (log N))))) (/ 1 (log N))) (+ (* -1 (/ (* (+ 1 (* -1 (log N))) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (pow (log N) 2))) (* 2 (/ (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N)))) (log N))))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N))))))
(+ (* -1 (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (* N (- (+ (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* N (- (+ (* -1/3 (exp (- (* 4 (log N)) (* 3 (log N))))) (+ (* N (- (+ (* 1/4 (exp (- (* 4 (log N)) (* 3 (log N))))) (/ 1 (pow (log N) 2))) (+ (* -1 (/ (* (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (- (* 2/3 (log N)) 1)) (pow (log N) 2))) (+ (* 2 (/ (- (+ (* -1/3 (exp (- (* 4 (log N)) (* 3 (log N))))) (/ 1 (log N))) (+ (* -1 (/ (* (+ 1 (* -1 (log N))) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (pow (log N) 2))) (* 2 (/ (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N)))) (log N))))) (log N))) (+ (/ 1 (log N)) (/ (* (+ 1 (* -1 (log N))) (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N))))) (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -1 (/ (* (+ 1 (* -1 (log N))) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))) (pow (log N) 2))) (* 2 (/ (- (* 1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N)))) (log N))))))) (* -2 (/ (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)) (log N))))))
(* -1 (* (pow (log N) 2) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))))
(+ (* -1 (* (pow (log N) 2) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)))) (* 1/2 (* N (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2)))))
(+ (* -1 (* (pow (log N) 2) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)))) (* N (+ (* 1/2 (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2))) (* N (+ (log N) (* -1/3 (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2))))))))
(+ (* -1 (* (pow (log N) 2) (+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N)))) (* N (+ (* 1/2 (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2))) (* N (+ (log N) (+ (* -1/3 (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2))) (* N (+ 1 (+ (* -1 (log N)) (* 1/4 (* (exp (- (* 4 (log N)) (* 3 (log N)))) (pow (log N) 2))))))))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (log N))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (+ (log N) (* -1/2 (* N (exp (- (* 4 (log N)) (* 3 (log N))))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (+ (log N) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* 1/3 (* N (exp (- (* 4 (log N)) (* 3 (log N))))))))))
(+ (exp (- (* 4 (log N)) (* 3 (log N)))) (+ (log N) (* N (+ (* -1/2 (exp (- (* 4 (log N)) (* 3 (log N))))) (* N (+ (* -1/4 (* N (exp (- (* 4 (log N)) (* 3 (log N)))))) (* 1/3 (exp (- (* 4 (log N)) (* 3 (log N)))))))))))
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/2 N)
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(* N (log N))
(* N (+ (log N) (* -1 (* N (- (* 1/2 (log N)) 1)))))
(* N (+ (log N) (* N (+ (* -1 (* N (+ 1 (* -1/3 (log N))))) (* -1 (- (* 1/2 (log N)) 1))))))
(* N (+ (log N) (* N (+ (* -1 (- (* 1/2 (log N)) 1)) (* N (+ (* -1 (* N (- (* 1/4 (log N)) 11/12))) (* -1 (+ 1 (* -1/3 (log N))))))))))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(- (* 4 (log N)) (* 3 (log N)))
(- (+ (* -1/2 N) (* 4 (log N))) (* 3 (log N)))
(- (+ (* 4 (log N)) (* N (- (* 5/24 N) 1/2))) (* 3 (log N)))
(- (+ (* 4 (log N)) (* N (- (* N (+ 5/24 (* -1/8 N))) 1/2))) (* 3 (log N)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(+ 1 (/ 1 N))
(* -1 (* N (+ 1 (/ 1 N))))
(* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (+ (* 1/4 (/ (+ (* -1 (+ (log (/ 1 N)) (+ (* -1 (* (log (/ 1 N)) (- (+ (* -1 (log (/ 1 N))) (* -1/2 (log (/ 1 N)))) 1))) (+ (* 2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))))) (* 1/2 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
(- (+ (* 1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (+ (* 1/4 (/ (+ (* -1 (+ (log (/ 1 N)) (+ (* -1 (* (log (/ 1 N)) (- (+ (* -1 (log (/ 1 N))) (* -1/2 (log (/ 1 N)))) 1))) (+ (* 2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))))) (* 1/2 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (+ (* -1 (- (+ (* -1 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (+ (* 1/3 (log (/ 1 N))) (* 2/3 (log (/ 1 N))))))) (+ (* -2/3 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (log (/ 1 N))) (* -1/2 (+ (log (/ 1 N)) (* 2 (log (/ 1 N))))))))) 1)) (* -1/3 (pow (log (/ 1 N)) 2))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (+ (log (/ 1 N)) (+ (* -1 (* (log (/ 1 N)) (- (+ (* -1 (log (/ 1 N))) (* -1/2 (log (/ 1 N)))) 1))) (+ (* 2 (log (/ 1 N))) (pow (log (/ 1 N)) 2))))) (* 1/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* -1 (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N)))))))) (* -1 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* -1/4 (/ (+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(+ (* -2 (pow (log (/ 1 N)) 3)) (* 2 (pow (log (/ 1 N)) 3)))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N))))))) N)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 2 (pow (log (/ 1 N)) 3)))))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (+ (log (/ 1 N)) (+ (* -1 (* (log (/ 1 N)) (- (+ (* -1 (log (/ 1 N))) (* -1/2 (log (/ 1 N)))) 1))) (+ (* 2 (log (/ 1 N))) (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N))))))) N)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 2 (pow (log (/ 1 N)) 3)))))))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (+ (log (/ 1 N)) (+ (* -1 (* (log (/ 1 N)) (- (+ (* -1 (log (/ 1 N))) (* -1/2 (log (/ 1 N)))) 1))) (+ (* 2 (log (/ 1 N))) (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* -2 (pow (log (/ 1 N)) 2)) (* -1 (* (log (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log (/ 1 N))))))) N)) (+ (* -1 (/ (- (+ (* -1 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (+ (* 1/3 (log (/ 1 N))) (* 2/3 (log (/ 1 N))))))) (+ (* -2/3 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (log (/ 1 N))) (* -1/2 (+ (log (/ 1 N)) (* 2 (log (/ 1 N))))))))) 1) (pow N 3))) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 2 (pow (log (/ 1 N)) 3)))))))))
(log (/ 1 N))
(- (log (/ 1 N)) (/ 1 N))
(- (+ (log (/ 1 N)) (/ 1/2 (pow N 2))) (/ 1 N))
(- (+ (log (/ 1 N)) (/ 1/2 (pow N 2))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))))
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(exp (- (log (pow (log (/ 1 N)) 4)) (* 3 (log (* -1 (log (/ 1 N)))))))
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(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(* -1 (* (+ (log -1) (log (/ -1 N))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -2 (/ (log (/ -1 N)) N)) (+ (* -1 (* (+ (log -1) (log (/ -1 N))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (log (/ -1 N))) N)) (* 2 (/ (log -1) N)))))
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
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(- (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(- (+ (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (/ 1 (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(- (+ (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* -1 (/ (- (* -1 (/ (- (* 1/2 (- (* 2 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* 16 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -3/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
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Outputs
(/ 1/24 (pow N 2))
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(/ (+ 1/24 (* -1/12 N)) (pow N 2))
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(/ (- (* 1/12 N) 1/24) (pow N 3))
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(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
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(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) N) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (log.f64 #s(literal -1 binary64)) N) #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (neg.f64 N)))))
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -4 binary64))) N)) (neg.f64 N))) N))
(- (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(-.f64 (log.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) (*.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 3 binary64)))
(- (+ (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (/ 1 (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (log.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))) (*.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 3 binary64)))
(- (+ (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* -1 (/ (- (* -1 (/ (- (* 1/2 (- (* 2 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* 16 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -3/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(-.f64 (-.f64 (log.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -16 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) N) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 3 binary64)))
(- (+ (log (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (- (+ (* 6 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* 24 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5)))) (* 128 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (* -1/2 (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (* 1/2 (- (* 2 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* 16 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* -3/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* 3 (log (+ (log -1) (* -1 (log (/ -1 N)))))))
(-.f64 (-.f64 (log.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -4 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) #s(literal 6 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 5 binary64))) #s(literal 24 binary64) (/.f64 #s(literal -128 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))))) #s(literal 1/6 binary64) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) N) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -16 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) (.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 3 binary64)))

rewrite153.0ms (1.9%)

Memory

-14.4MiB live, 177.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	489
0	118	481
1	537	369
2	4390	347
0	8520	340

Stop Event

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

Counts

29 → 729

Calls

Call 1

Inputs
(*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))
(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
(fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) N)
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))))
(+.f64 (log.f64 N) (exp.f64 (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1/24 binary64) N)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(/.f64 #s(literal 1/2 binary64) N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))

Outputs
(.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N)
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N (neg.f64 N)) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N (neg.f64 N)))
(*.f64 (neg.f64 N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(.f64 N (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(*.f64 N (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 N)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 N) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 N) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) #s(literal 2 binary64)) (.f64 N N)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) N))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) N))))
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N (neg.f64 N)))
(fma.f64 (*.f64 (neg.f64 N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) #s(literal -1 binary64) N)
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) #s(literal -1 binary64) N)
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) N N)
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N)
(fma.f64 #s(literal 1 binary64) N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N)) N)
(fma.f64 #s(literal -1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N)
(fma.f64 #s(literal -1 binary64) (neg.f64 N) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)
(fma.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N)
(fma.f64 (neg.f64 N) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N))
(fma.f64 N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) N)
(fma.f64 N #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N))
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N)
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N (neg.f64 N)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N) N)
(+.f64 N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)) #s(literal -1 binary64)))
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(.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (log.f64 (log1p.f64 N))) (pow.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (log.f64 (log1p.f64 N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)))) (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))) #s(literal 2 binary64))) (-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N)))))))
(/.f64 (neg.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (log.f64 (log1p.f64 N)))) (neg.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))))))
(/.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (log.f64 (log1p.f64 N))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)) (log.f64 (log1p.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64)))) (-.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))))
(neg.f64 (neg.f64 (log.f64 (log1p.f64 N))))
(fma.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N)) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (log.f64 (log1p.f64 N))) #s(literal 3 binary64) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (log.f64 (log1p.f64 N))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(fma.f64 (log.f64 (log1p.f64 N)) (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
(fma.f64 (log.f64 (log1p.f64 N)) (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))))
(fma.f64 (log.f64 (log1p.f64 N)) #s(literal -3 binary64) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(fma.f64 (log.f64 (log1p.f64 N)) #s(literal 4 binary64) (log.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
(fma.f64 (log.f64 (log1p.f64 N)) #s(literal 4 binary64) (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))))
(fma.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)) (log.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
(fma.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)) (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (log.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (neg.f64 (log1p.f64 N))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 7 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (log1p.f64 N))))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
(-.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))))
(+.f64 (log.f64 (neg.f64 (log1p.f64 N))) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log1p.f64 N))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(+.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (log.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
(+.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (log1p.f64 N))))
(log.f64 (log1p.f64 N))

eval177.0ms (2.2%)

Memory: 4.7MiB live, 316.6MiB allocated
Compiler: Compiled 50 263 to 5 016 computations (90% saved)

prune54.0ms (0.7%)

Memory

14.4MiB live, 100.9MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	910	10	920
Fresh	25	5	30
Picked	5	0	5
Done	3	3	6
Total	943	18	961

Accuracy

100.0%

Counts

961 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (neg.f64 (log.f64 N)))
	25.6%	(/.f64 (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
✓	23.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	27.1%	(neg.f64 (log.f64 (/.f64 N (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))
	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
✓	26.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.1%	(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
	93.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
	93.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
	93.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Compiler

Compiled 3 528 to 833 computations (76.4% saved)

regimes49.0ms (0.6%)

Memory

-11.8MiB live, 62.4MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(approx (- (* (pow (log (+ 1 N)) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log N) 3))) (/.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) (log.f64 N) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (pow.f64 N #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 3 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))) (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal -2 binary64) (log.f64 N)))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 3 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (fma.f64 (log.f64 N) #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))))) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 4/3 binary64) (log.f64 N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 (log.f64 N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))))) N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))

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

Calls

2 calls:

24.0ms	N
21.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes21.0ms (0.3%)

Memory

-11.2MiB live, 27.2MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)))
(neg.f64 (log.f64 (/.f64 N (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))
(log.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (/.f64 N (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal -1 binary64))) (.f64 (/.f64 N (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) N)))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))

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

Calls

2 calls:

9.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.7%	2	`N`
99.7%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes15.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes18.0ms (0.2%)

Memory

-23.7MiB live, 21.4MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))

Calls

2 calls:

11.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.3%	1	`N`
96.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`N`
96.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.8%	1	`N`
94.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.2%	1	`N`
93.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.6%	1	`N`
84.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00018969868558116332	0.0020983862617995896

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00018969868558116332	0.0020983862617995896

Compiler

Compiled 10 to 10 computations (0% saved)

simplify43.0ms (0.5%)

Memory

-32.1MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	276
1	98	275
2	125	275
3	151	274
4	193	274
5	262	274
6	355	274
7	506	274
8	683	274
9	743	274
10	774	274
11	780	274
12	781	274

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (neg.f64 (log.f64 (/.f64 N (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (neg.f64 (log.f64 (/.f64 N (*.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N)))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (neg N) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

soundness1.2s (15.1%)

Memory

30.7MiB live, 696.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1325	17357
1	4388	15394
0	8720	14650
0	1206	15961
1	4054	14162
0	8421	13506
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	41	296
0	70	223
1	335	204
2	2562	204
0	8819	204
0	58	347
0	97	342
1	420	324
2	3179	322
0	8392	322
0	88	258
1	250	234
2	588	233
3	1591	227
4	4186	223
5	6252	223
6	7306	223
0	8036	214
0	69	489
0	118	481
1	537	369
2	4390	347
0	8520	340

Stop Event

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

Compiler

Compiled 688 to 385 computations (44% saved)

preprocess67.0ms (0.8%)

Memory: -10.5MiB live, 111.6MiB allocated
Compiler: Compiled 616 to 210 computations (65.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	78	276
1	98	275
2	125	275
3	151	274
4	193	274
5	262	274
6	355	274
7	506	274
8	683	274
9	743	274
10	774	274
11	780	274
12	781	274

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	78	276
1	98	275
2	125	275
3	151	274
4	193	274
5	262	274
6	355	274
7	506	274
8	683	274
9	743	274
10	774	274
11	780	274
12	781	274

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (18%)

explain156.0ms (2%)

preprocess24.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize43.0ms (0.5%)

series59.0ms (0.7%)

simplify160.0ms (2%)

rewrite171.0ms (2.1%)

eval82.0ms (1%)

prune24.0ms (0.3%)

simplify158.0ms (2%)

localize235.0ms (2.9%)

series108.0ms (1.4%)

simplify251.0ms (3.1%)

rewrite361.0ms (4.5%)

eval435.0ms (5.5%)

prune102.0ms (1.3%)

simplify122.0ms (1.5%)

localize247.0ms (3.1%)

series109.0ms (1.4%)

simplify240.0ms (3%)

rewrite259.0ms (3.3%)

eval418.0ms (5.2%)

prune108.0ms (1.4%)

simplify137.0ms (1.7%)

localize348.0ms (4.4%)

series113.0ms (1.4%)

simplify240.0ms (3%)

rewrite153.0ms (1.9%)

eval177.0ms (2.2%)

prune54.0ms (0.7%)

regimes49.0ms (0.6%)

regimes21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.5%)

soundness1.2s (15.1%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	78	276
1	98	275
2	125	275
3	151	274
4	193	274
5	262	274
6	355	274
7	506	274
8	683	274
9	743	274
10	774	274
11	780	274
12	781	274