Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.6s (21.6%)

Memory

-293.3MiB live, 1 295.9MiB allocated

Samples

1.2s	6 442×	1	valid
102.0ms	1 814×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-log1p: 285.0ms (38.1% of total)

ival-log: 205.0ms (27.4% of total)

adjust: 104.0ms (13.9% of total)

ival-sub: 76.0ms (10.2% of total)

ival->: 38.0ms (5.1% of total)

ival-<: 16.0ms (2.1% of total)

ival-and: 11.0ms (1.5% of total)

exact: 9.0ms (1.2% of total)

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

Bogosity

explain138.0ms (1.9%)

Memory

-10.8MiB live, 163.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	-	`N`
0	-	-	`(log.f64 N)`
0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	248	0
-	0	8

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	248	0	0
-	0	1	7

Precision?

0.9959839357429718

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms	410×	1	valid
16.0ms	102×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-log1p: 28.0ms (41.4% of total)

ival-log: 20.0ms (29.6% of total)

adjust: 8.0ms (11.8% of total)

ival-sub: 8.0ms (11.8% of total)

ival-add: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess23.0ms (0.3%)

Memory

-12.8MiB live, 24.4MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.2%	(-.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

8.8MiB live, 8.8MiB 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)

localize46.0ms (0.6%)

Memory

-14.5MiB live, 67.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 N)
accuracy	0.0078125	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	50.430175539347154	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

31.0ms	205×	1	valid
3.0ms	51×	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: 12.0ms (46.4% of total)

ival-log: 6.0ms (23.2% of total)

adjust: 4.0ms (15.5% of total)

ival-sub: 3.0ms (11.6% of total)

ival-add: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory

31.9MiB live, 108.4MiB 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
26.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
16.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
9.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify151.0ms (2.1%)

Memory

-2.1MiB live, 113.9MiB 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)

rewrite178.0ms (2.5%)

Memory

-4.2MiB live, 191.7MiB 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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
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(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.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)

eval77.0ms (1.1%)

Memory: -17.5MiB live, 106.1MiB allocated
Compiler: Compiled 12 538 to 1 566 computations (87.5% saved)

prune15.0ms (0.2%)

Memory

1.9MiB live, 41.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	436	11	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	437	11	448

Accuracy

99.7%

Counts

448 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.2%	(/.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))))
	21.0%	(-.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))))
▶	21.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	20.5%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	24.6%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	24.2%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	24.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	96.2%	#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))
▶	97.2%	#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))
	93.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 398 to 232 computations (41.7% saved)

simplify145.0ms (2%)

Memory

25.9MiB live, 107.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 (-.f64 N #s(literal 1 binary64)) N)
cost-diff	0	(log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	704	(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff	0	#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))
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: 3 (0.0ms)

Iter	Nodes	Cost
0	36	223
0	60	217
1	97	217
2	169	208
3	354	202
4	752	202
5	2405	202
0	8793	202

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

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

localize196.0ms (2.7%)

Memory

-5.9MiB live, 154.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 N)
accuracy	0.00390625	(log1p.f64 N)
accuracy	50.430175539347154	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
accuracy	0.0078125	(*.f64 (-.f64 N #s(literal 1 binary64)) N)
accuracy	0.162441259768442	(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	48.21863591774358	(log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))
accuracy	0.0546875	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.078125	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy	0.35546875	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.3867949625638207	#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))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	8.705854232974037	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.0703125	(/.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)
accuracy	0.13119125976844204	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.31640625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.7082706756892736	#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

155.0ms	205×	1	valid
16.0ms	51×	0	valid

Compiler

Compiled 424 to 69 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div: 46.0ms (32.2% of total)

ival-log: 44.0ms (30.8% of total)

ival-sub: 13.0ms (9.1% of total)

adjust: 12.0ms (8.4% of total)

ival-mult: 9.0ms (6.3% of total)

ival-log1p: 8.0ms (5.6% of total)

const: 6.0ms (4.2% of total)

ival-add: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series32.0ms (0.4%)

Memory

-6.6MiB live, 31.0MiB allocated

Counts

20 → 81

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	N	@	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 (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (/ (* (- N 1) N) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/3 N))
9.0ms	N	@	-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 (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (/ (* (- N 1) N) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/3 N))
9.0ms	N	@	0	((- (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 (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (/ (* (- N 1) N) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/3 N))

Time

Variable

Point

Expression

13.0ms

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

9.0ms

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

9.0ms

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

simplify403.0ms (5.6%)

Memory

20.3MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	755
1	482	699
2	1197	685
3	3187	675
4	7991	675
0	8050	643

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 80

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

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

rewrite214.0ms (3%)

Memory

-14.3MiB live, 272.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	184
0	60	185
1	277	163
2	2223	163
0	8107	163

Stop Event

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

Counts

20 → 809

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

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))))
(/.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)) #s(literal -1 binary64))) (neg.f64 (.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)) (neg.f64 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 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.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)) 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)) #s(literal -1 binary64))) (neg.f64 (.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))) (neg.f64 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)) #s(literal 1 binary64))) (neg.f64 (.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))) 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) N) (.f64 N #s(literal -1 binary64)))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 (.f64 (neg.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 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (/.f64 N #s(literal -1 binary64))) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 (neg.f64 N) (/.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (neg.f64 N)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N 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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) 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)) (/.f64 N #s(literal -1 binary64))) (.f64 (.f64 N (neg.f64 N)) #s(literal 1 binary64))) (.f64 (*.f64 N (neg.f64 N)) (/.f64 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)) (neg.f64 N)) (.f64 (.f64 N (neg.f64 N)) #s(literal 1 binary64))) (.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.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) (/.f64 N #s(literal -1 binary64))) N) (.f64 N (/.f64 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) (neg.f64 N)) N) (.f64 N (neg.f64 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) (.f64 (*.f64 N N) #s(literal -1 binary64))) (pow.f64 N #s(literal 3 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)) (/.f64 N #s(literal -1 binary64))) (.f64 N N)) (.f64 (.f64 N N) (/.f64 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)) (neg.f64 N)) (.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.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))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 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)) #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)) (/.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.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)) (neg.f64 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))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 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)))) #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)))) (/.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.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)))) (neg.f64 N)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (.f64 N N))
(/.f64 (fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (neg.f64 (neg.f64 N)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (.f64 (neg.f64 N) (neg.f64 (neg.f64 N))))
(/.f64 (fma.f64 (neg.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 (neg.f64 N) #s(literal 1 binary64))) (.f64 (neg.f64 N) 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 N) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (.f64 N (neg.f64 N)) (neg.f64 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 (.f64 N (neg.f64 N)) #s(literal 1 binary64))) (.f64 (.f64 N (neg.f64 N)) (neg.f64 (neg.f64 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)) N (.f64 (.f64 N (neg.f64 N)) #s(literal 1 binary64))) (.f64 (.f64 N (neg.f64 N)) 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) (neg.f64 N) (.f64 N #s(literal -1 binary64))) (.f64 N (neg.f64 N)))
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(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N))
(pow.f64 (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(exp.f64 (.f64 (log.f64 (.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)))

eval146.0ms (2%)

Memory: -1.2MiB live, 186.9MiB allocated
Compiler: Compiled 22 495 to 3 839 computations (82.9% saved)

prune65.0ms (0.9%)

Memory

8.6MiB live, 95.7MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	790	19	809
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	793	27	820

Accuracy

99.8%

Counts

820 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.2%	(/.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))))
	21.0%	(-.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))))
	20.5%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	24.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	20.3%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
✓	24.2%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	24.9%	(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
	24.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N) (*.f64 N N)))
	96.9%	#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)))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
	97.2%	#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))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N))
✓	96.2%	#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))
✓	97.2%	#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))
	97.2%	#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))
	96.8%	#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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) N)))
▶	93.7%	#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))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))))
▶	97.3%	#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)))))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	97.2%	#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) N) (/.f64 #s(literal -1 binary64) N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	97.2%	#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)))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.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))))

Compiler

Compiled 1 165 to 781 computations (33% saved)

simplify154.0ms (2.1%)

Memory

2.4MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	0	(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
cost-diff	320	(*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	384	(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
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) 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) N) (/.f64 #s(literal -1 binary64) N)))
cost-diff	704	(-.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))
cost-diff	0	(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
cost-diff	0	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N))
cost-diff	512	(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
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	47	409
0	74	409
1	119	409
2	212	389
3	479	383
4	1342	383
5	5757	383
0	8176	372

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

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

localize254.0ms (3.5%)

Memory

-39.2MiB live, 160.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
accuracy	0.24609375	(*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
accuracy	0.28125	(/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
accuracy	48.21863591774358	(log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
accuracy	0.13119125976844204	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.234375	(/.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)
accuracy	0.31640625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.7082706756892736	#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) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0546875	(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
accuracy	0.26171875	(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
accuracy	0.35546875	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.3867949625638207	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) 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	0.0703125	(/.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	1.7082706756892736	#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	8.846006292228637	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.06640625	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.13119125976844204	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.31640625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.7082706756892736	#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

135.0ms	205×	1	valid
14.0ms	51×	0	valid

Compiler

Compiled 743 to 89 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 49.0ms (42.3% of total)

ival-log: 16.0ms (13.8% of total)

ival-sub: 14.0ms (12.1% of total)

adjust: 13.0ms (11.2% of total)

ival-log1p: 8.0ms (6.9% of total)

const: 6.0ms (5.2% of total)

ival-mult: 4.0ms (3.4% of total)

ival-add: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

23 → 88

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

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

2.0ms

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

simplify136.0ms (1.9%)

Memory

5.6MiB live, 88.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	864
1	594	795
2	1464	779
3	4036	771
0	8170	733

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 87

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

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -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)))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N)
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) N)
(/ 1/3 (pow N 3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
N
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- N 1))))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)) N)
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) 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 (* 1/2 (/ 1 N))))
(+.f64 #s(literal 1/2 binary64) N)
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) N N)
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(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)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.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))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(/ -1/2 (pow N 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))
(/.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)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(- 1 (/ 1 N))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.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)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(* -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)
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) N N)
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) 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)
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) 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))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/.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)
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) N)
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal 1 binary64)) N) #s(literal -1 binary64))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.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)) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)

rewrite284.0ms (3.9%)

Memory

2.9MiB live, 159.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	320
0	74	316
1	325	283
2	2962	283
0	8372	277

Stop Event

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

Counts

23 → 943

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

Outputs
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(pow.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)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) 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 N))) #s(literal -1 binary64))
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(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)) (*.f64 N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (*.f64 N (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) N))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1/2 binary64)) (pow.f64 N #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 N (.f64 N #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 N #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 4 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N))) (/.f64 (pow.f64 (*.f64 N #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 N #s(literal 3 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) N))))) (/.f64 (.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 N #s(literal 3 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) N))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) N) (neg.f64 N)) (.f64 N (neg.f64 N))) (/.f64 (.f64 N #s(literal -1/3 binary64)) (.f64 N (neg.f64 N))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) N) N) (.f64 N N)) (/.f64 (.f64 N #s(literal 1/3 binary64)) (.f64 N N)))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) N) (.f64 N #s(literal 3 binary64))) (.f64 (.f64 N #s(literal 3 binary64)) N)) (/.f64 N (.f64 (.f64 N #s(literal 3 binary64)) N)))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64))) (.f64 N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) (/.f64 #s(literal 1/9 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (.f64 N (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 N (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 N)) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) N))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) N) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) N))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) N) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) N))
(-.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/3 binary64) N))
(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N))
(pow.f64 (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(exp.f64 (.f64 (log.f64 (.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)))

eval200.0ms (2.8%)

Memory: 6.5MiB live, 160.9MiB allocated
Compiler: Compiled 35 492 to 4 680 computations (86.8% saved)

prune57.0ms (0.8%)

Memory

4.9MiB live, 77.5MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 051	7	1 058
Fresh	12	6	18
Picked	3	2	5
Done	1	3	4
Total	1 067	18	1 085

Accuracy

99.9%

Counts

1 085 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.2%	(/.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))))
	21.0%	(-.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))))
	20.5%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	24.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
▶	20.3%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	24.9%	(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
▶	24.8%	(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
	24.0%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
▶	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
✓	96.2%	#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))
✓	97.2%	#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))
	96.9%	#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)) #s(literal 1 binary64)) (neg.f64 N)) (.f64 N N)))
✓	93.7%	#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))
▶	97.6%	#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))))
	96.7%	#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 #s(literal 1/12 binary64) N)) N) N N))))
▶	94.3%	#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)) (+.f64 #s(literal 1/2 binary64) N))))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 740 to 466 computations (37% saved)

simplify128.0ms (1.8%)

Memory

-27.0MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
cost-diff	320	(*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
cost-diff	256	(neg.f64 (neg.f64 N))
cost-diff	1024	(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (*.f64 N N))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) N)
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
cost-diff	0	(/.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)))
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 #s(literal 1/2 binary64) N))))
cost-diff	0	#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))
cost-diff	0	(/.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)))
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 (/.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))))
cost-diff	896	(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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	487
0	96	473
1	182	458
2	502	449
3	2322	435
4	5941	435
0	8127	426

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

localize359.0ms (5%)

Memory

8.2MiB live, 205.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.45998002930532605	(.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	0.5091400390737681	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy	0.5169525390737681	(pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))
accuracy	50.32050258560195	(-.f64 (pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
accuracy	0	(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
accuracy	0.24609375	(*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
accuracy	48.21863591774358	(log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
accuracy	0.27734375	(.f64 (.f64 N N) (neg.f64 (neg.f64 N)))
accuracy	0.33822250976844204	(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
accuracy	0.35546875	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.3867949625638207	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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)) (+.f64 #s(literal 1/2 binary64) N)))
accuracy	1.7082706756892736	#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))))
accuracy	3.662324410511592	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
accuracy	0.3125	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.35546875	(/.f64 #s(literal 1/24 binary64) N)
accuracy	1.7082706756892736	#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))))
accuracy	1.7114189773233601	#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))

Samples

262.0ms	205×	1	valid
20.0ms	51×	0	valid

Compiler

Compiled 875 to 120 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-log: 33.0ms (17.9% of total)

ival-sub: 31.0ms (16.8% of total)

ival-div: 29.0ms (15.7% of total)

adjust: 20.0ms (10.8% of total)

ival-log1p: 20.0ms (10.8% of total)

ival-mult: 15.0ms (8.1% of total)

const: 13.0ms (7% of total)

ival-pow2: 8.0ms (4.3% of total)

ival-add: 8.0ms (4.3% of total)

ival-neg: 6.0ms (3.2% of total)

exact: 1.0ms (0.5% of total)

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

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

series30.0ms (0.4%)

Memory

-8.3MiB live, 34.7MiB allocated

Counts

26 → 139

Calls

Call 1

Inputs
(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)) (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))))
(/.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 (/ 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)) (+.f64 #s(literal 1/2 binary64) 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 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1/2 binary64) N)
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (*.f64 N N))
(neg.f64 (neg.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
(-.f64 (pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 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 1/3 binary64) N)
(.f64 (.f64 N N) (neg.f64 (neg.f64 N)))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 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 (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))
(* -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))
1/2
(+ 1/2 N)
1/3
(+ 1/3 (* -1/2 N))
(+ 1/3 (* N (- N 1/2)))
N
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(- (/ (pow (log -1) 2) (log N)) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (* N (- (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (log N))) (* -1/3 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 3))) (+ (* -1 (/ (- (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (* -1 (/ (pow (log -1) 2) (pow (log N) 3))))) (log N))) (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (+ (* -1/3 (/ (pow (log -1) 2) (pow (log N) 2))) (/ 1 (log N))))))))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (log N))
(- (+ (* N (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* N (- (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))) (log N))) (* -1/3 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2))
(- (+ (* -2 (* N (+ (log -1) (log N)))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(- (+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (- (+ 1 (* -1 (+ (log -1) (log N)))) (* -2 (log -1)))))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(- (+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (- (+ 1 (+ (* -1 (+ (log -1) (log N))) (* N (+ 1 (* -2/3 (+ (log -1) (log N))))))) (* -2 (log -1)))))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(pow (+ (log -1) (log N)) 2)
(+ (* -2 (* N (+ (log -1) (log N)))) (pow (+ (log -1) (log N)) 2))
(+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (+ 1 (* -1 (+ (log -1) (log N))))))) (pow (+ (log -1) (log N)) 2))
(+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (+ 1 (+ (* -1 (+ (log -1) (log N))) (* N (+ 1 (* -2/3 (+ (log -1) (log N)))))))))) (pow (+ (log -1) (log N)) 2))
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/3 N)
(pow N 3)
(pow (log -1) 2)
(+ (* -2 (* (pow N 2) (log -1))) (pow (log -1) 2))
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (* -1 (log -1)))))) (pow (log -1) 2))
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (+ (* -1 (log -1)) (* (pow N 2) (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2))
(* N (+ 1 (* N (- (* -1 N) 1))))
(* N (+ 1 (* N (- (* N (- N 1)) 1))))
(* 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 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)
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(/ (+ 1 (* -1 (/ (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) N))) N)
(/ (- (+ 1 (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N)))))) (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (+ 1/12 (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 9/32 (/ 1 (log (/ 1 N)))))) (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 11/12 (log (/ 1 N))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/12 (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 3/32 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))))))) N)
(/ (- (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (/ 1/4 (* N (log (/ 1 N))))) 1) N)
(/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ 1 (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (log (/ 1 N)) (+ 1/12 (* 2 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ 1 (+ (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N))))) (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 3/8 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))))))) N)
(* 4 (/ (log (/ 1 N)) N))
(/ (- (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (/ 1 N))) (* 4 (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2)))))) (* 4 (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 3))))))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (log (/ 1 N)) N)) (* 1/12 (/ 1 (pow N 3)))))) N)
(* 4 (pow (log (/ 1 N)) 2))
(+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))))))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 4)))))
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6)))))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(* -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))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (* N (log (/ -1 N))))) (+ (/ 1/4 (* N (log (/ -1 N)))) (/ 1 N))) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ 1/12 (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 9/32 (/ 1 (log (/ -1 N))))))) (log (/ -1 N)))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ 11/12 (log (/ -1 N))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* 3/32 (/ 1 (log (/ -1 N)))) (+ 1/12 (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/12 (/ 1 (log (/ -1 N)))))))) N)) (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) N)) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N)))))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (- (log (/ -1 N)) (+ 1/12 (* 2 (log (/ -1 N))))) (log (/ -1 N)))) (* 1/12 (/ 1 (log (/ -1 N))))) (+ (* -1/4 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N))))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) N)) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N)))))) N))) N))
(* 4 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)) (* 2 (log (/ -1 N))))) (* 4 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -4/3 (log (/ -1 N))) (* -1 (/ (- (log (/ -1 N)) (+ 1/12 (* 2 (log (/ -1 N))))) N))) 1) N)) (* 2 (log (/ -1 N))))) (* 4 (log (/ -1 N)))) N))) N))
(* 4 (pow (log (/ -1 N)) 2))
(+ (* 4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)) (* 2 (log (/ -1 N))))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (/ 1 (pow N 4)))))
(+ (* 4/3 (/ (log (/ -1 N)) (pow N 6))) (+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6)))))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 N) 1) N))) N))))

Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

inf

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

7.0ms

-inf

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

7.0ms

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

simplify215.0ms (3%)

Memory

-2.6MiB live, 228.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	783	4386
1	2417	4015
2	7881	3994
0	8511	3786

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 138

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 (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))
(* -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))
1/2
(+ 1/2 N)
1/3
(+ 1/3 (* -1/2 N))
(+ 1/3 (* N (- N 1/2)))
N
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(- (/ (pow (log -1) 2) (log N)) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (* N (- (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (log N))) (* -1/3 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 3))) (+ (* -1 (/ (- (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (* -1 (/ (pow (log -1) 2) (pow (log N) 3))))) (log N))) (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (+ (* -1/3 (/ (pow (log -1) 2) (pow (log N) 2))) (/ 1 (log N))))))))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))
(/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (log N))
(- (+ (* N (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* N (- (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))) (log N))) (* -1/3 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))
(- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2))
(- (+ (* -2 (* N (+ (log -1) (log N)))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(- (+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (- (+ 1 (* -1 (+ (log -1) (log N)))) (* -2 (log -1)))))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(- (+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (- (+ 1 (+ (* -1 (+ (log -1) (log N))) (* N (+ 1 (* -2/3 (+ (log -1) (log N))))))) (* -2 (log -1)))))) (pow (+ (log -1) (log N)) 2)) (pow (log -1) 2))
(pow (+ (log -1) (log N)) 2)
(+ (* -2 (* N (+ (log -1) (log N)))) (pow (+ (log -1) (log N)) 2))
(+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (+ 1 (* -1 (+ (log -1) (log N))))))) (pow (+ (log -1) (log N)) 2))
(+ (* N (+ (* -2 (+ (log -1) (log N))) (* N (+ 1 (+ (* -1 (+ (log -1) (log N))) (* N (+ 1 (* -2/3 (+ (log -1) (log N)))))))))) (pow (+ (log -1) (log N)) 2))
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/3 N)
(pow N 3)
(pow (log -1) 2)
(+ (* -2 (* (pow N 2) (log -1))) (pow (log -1) 2))
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (* -1 (log -1)))))) (pow (log -1) 2))
(+ (* (pow N 2) (+ (* -2 (log -1)) (* (pow N 2) (+ 1 (+ (* -1 (log -1)) (* (pow N 2) (+ 1 (* -2/3 (log -1))))))))) (pow (log -1) 2))
(* N (+ 1 (* N (- (* -1 N) 1))))
(* N (+ 1 (* N (- (* N (- N 1)) 1))))
(* 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 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)
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(/ (+ 1 (* -1 (/ (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) N))) N)
(/ (- (+ 1 (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N)))))) (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (+ 1/12 (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 9/32 (/ 1 (log (/ 1 N)))))) (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 11/12 (log (/ 1 N))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/12 (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 3/32 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))))))) N)
(/ (- (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (/ 1/4 (* N (log (/ 1 N))))) 1) N)
(/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ 1 (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (log (/ 1 N)) (+ 1/12 (* 2 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ 1 (+ (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N))))) (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 3/8 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))))))) N)
(* 4 (/ (log (/ 1 N)) N))
(/ (- (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (/ 1 N))) (* 4 (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2)))))) (* 4 (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 3))))))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (log (/ 1 N)) N)) (* 1/12 (/ 1 (pow N 3)))))) N)
(* 4 (pow (log (/ 1 N)) 2))
(+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))))))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 4)))))
(+ (* 4/3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 2 (/ (log (/ 1 N)) (pow N 4))) (+ (* 4 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6)))))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 2)))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(* -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))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (* N (log (/ -1 N))))) (+ (/ 1/4 (* N (log (/ -1 N)))) (/ 1 N))) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ 1/12 (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 9/32 (/ 1 (log (/ -1 N))))))) (log (/ -1 N)))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ 11/12 (log (/ -1 N))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* 3/32 (/ 1 (log (/ -1 N)))) (+ 1/12 (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/12 (/ 1 (log (/ -1 N)))))))) N)) (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) N)) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N)))))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (- (log (/ -1 N)) (+ 1/12 (* 2 (log (/ -1 N))))) (log (/ -1 N)))) (* 1/12 (/ 1 (log (/ -1 N))))) (+ (* -1/4 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N))))) (+ (* -1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) N)) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N)))))) N))) N))
(* 4 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (* 2 (log (/ -1 N)))) (* 4 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)) (* 2 (log (/ -1 N))))) (* 4 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -4/3 (log (/ -1 N))) (* -1 (/ (- (log (/ -1 N)) (+ 1/12 (* 2 (log (/ -1 N))))) N))) 1) N)) (* 2 (log (/ -1 N))))) (* 4 (log (/ -1 N)))) N))) N))
(* 4 (pow (log (/ -1 N)) 2))
(+ (* 4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)) (* 2 (log (/ -1 N))))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (/ 1 (pow N 4)))))
(+ (* 4/3 (/ (log (/ -1 N)) (pow N 6))) (+ (* 2 (/ (log (/ -1 N)) (pow N 4))) (+ (* 4 (/ (log (/ -1 N)) (pow N 2))) (+ (* 4 (pow (log (/ -1 N)) 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6)))))))
(* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 N) 1) N))) N))))

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

rewrite252.0ms (3.5%)

Memory

21.4MiB live, 339.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	398
0	96	375
1	430	365
2	3464	361
0	9627	351

Stop Event

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

Counts

26 → 532

Calls

Call 1

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

Outputs
(.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)) #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)) N)
(.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 N (-.f64 N (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.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)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N)) (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 N) N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 N (-.f64 N (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (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)) (neg.f64 N) (.f64 (neg.f64 N) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N N))
(/.f64 (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)) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (neg.f64 N) (pow.f64 N #s(literal 3 binary64)))) (.f64 (neg.f64 N) (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 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) (neg.f64 N) (.f64 (neg.f64 N) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 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) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (neg.f64 N) (pow.f64 N #s(literal 3 binary64)))) (.f64 (neg.f64 N) (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 N))))))
(/.f64 (fma.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (neg.f64 N) (.f64 (neg.f64 N) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N N))
(/.f64 (fma.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (neg.f64 N) (pow.f64 N #s(literal 3 binary64)))) (.f64 (neg.f64 N) (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 N))))))
(/.f64 (fma.f64 (neg.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) (.f64 (neg.f64 N) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N N))
(/.f64 (fma.f64 (neg.f64 (.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 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (neg.f64 N) (pow.f64 N #s(literal 3 binary64)))) (.f64 (neg.f64 N) (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 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) (neg.f64 N) (.f64 N (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N (neg.f64 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) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (pow.f64 N #s(literal 4 binary64))) (.f64 N (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N))))))
(/.f64 (+.f64 (neg.f64 N) (.f64 (/.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)) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 (/.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)) (neg.f64 N)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (/.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)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (/.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)) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N))))))
(/.f64 (fma.f64 N (neg.f64 N) (.f64 (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (*.f64 (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (neg.f64 N)))
(/.f64 (fma.f64 N (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N)))) (.f64 (/.f64 N (-.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 3 binary64)))) (.f64 (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (neg.f64 N))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 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 N))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.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))) (.f64 N N))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.f64 (neg.f64 N) (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))))) (.f64 N N))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.f64 (neg.f64 N) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))) (.f64 N N))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) N (.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))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (/.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)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (.f64 (neg.f64 N) (/.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))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 N) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 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 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 N)))) (neg.f64 N)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 N) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 N N (.f64 #s(literal 0 binary64) (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))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 N)))) (neg.f64 N)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(/.f64 (-.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 N #s(literal -3 binary64))) (/.f64 #s(literal 1/13824 binary64) (pow.f64 N #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (neg.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) N)
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) N))
(/.f64 (.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) #s(literal 1 binary64)) N)
(/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) N) (.f64 N (/.f64 #s(literal 1/24 binary64) N))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 2 binary64))) (*.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 3 binary64))) (*.f64 N (fma.f64 (/.f64 #s(literal 1/24 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))))
(/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))))
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 N #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(-.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 (/.f64 #s(literal 1/24 binary64) N) N))
(+.f64 (/.f64 #s(literal 1/12 binary64) N) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 N) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 N) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) N))
(pow.f64 (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) N)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 N)))
(exp.f64 (.f64 (log.f64 (.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 N) N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(.f64 (neg.f64 (.f64 N N)) (neg.f64 N))
(.f64 (.f64 N (neg.f64 N)) (neg.f64 N))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 N N) N)
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(.f64 N (.f64 N N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 N #s(literal 3 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 N N (*.f64 #s(literal 0 binary64) (neg.f64 N)))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) N)
(.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 N #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))
(.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N))
(.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
(.f64 (-.f64 N #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (+.f64 #s(literal 1 binary64) N) (.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (+.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N))))
(/.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 9 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N))))))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) N) N (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64))) N (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) N (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 N N) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(fma.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(fma.f64 (.f64 N N) (.f64 (-.f64 N #s(literal 1 binary64)) N) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 (neg.f64 N) (-.f64 N #s(literal 1 binary64)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(fma.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 N (.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) N)) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(fma.f64 N (.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal 1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 N)))

eval102.0ms (1.4%)

Memory: -8.7MiB live, 232.4MiB allocated
Compiler: Compiled 26 373 to 3 387 computations (87.2% saved)

prune38.0ms (0.5%)

Memory

15.6MiB live, 132.7MiB allocated

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	669	15	684
Fresh	2	6	8
Picked	2	3	5
Done	0	5	5
Total	673	29	702

Accuracy

99.9%

Counts

702 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.2%	(/.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))))
	20.5%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	24.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
✓	20.3%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
	21.5%	(neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
	24.2%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	24.9%	(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
✓	24.8%	(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
	24.0%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	96.2%	#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))
✓	97.2%	#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))
✓	93.7%	#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))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
	86.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
	96.7%	#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 #s(literal 1/12 binary64) N)) N) N N))))
	97.6%	#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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))))
	97.4%	#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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))))))))
	97.4%	#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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.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))) (.f64 N N)))))
	97.3%	#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)) (/.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) (neg.f64 N) (.f64 N (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N (neg.f64 N))))))
	97.4%	#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) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) (.f64 N N))) N))))
	94.2%	#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 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
	97.4%	#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 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N))) (/.f64 (.f64 N N) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N)))))))
✓	94.3%	#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)) (+.f64 #s(literal 1/2 binary64) N))))
	97.5%	#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))))
	97.3%	#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)) #s(approx (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
	96.6%	#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 (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N)))))
✓	86.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	92.9%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))) #s(literal -1 binary64))))

Compiler

Compiled 2 421 to 955 computations (60.6% saved)

regimes33.0ms (0.5%)

Memory

-2.5MiB live, 47.0MiB allocated

Counts

53 → 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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 #s(literal 1/12 binary64) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)) #s(approx (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) 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 (-.f64 (.f64 (-.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)) (neg.f64 N)) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (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 #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 (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 (/.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)))
#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 #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) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) (.f64 N N))) 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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.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 (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) (.f64 N (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N (neg.f64 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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.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))) (.f64 N N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
(neg.f64 (log.f64 (*.f64 N (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) (/.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))))))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))) #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 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N))) (/.f64 (.f64 N N) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) (neg.f64 N)))))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.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))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 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 (.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))))

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 #s(literal 1 binary64) N))))

Calls

2 calls:

17.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
14.0ms	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)

regimes19.0ms (0.3%)

Memory

-5.3MiB live, 34.0MiB allocated

Counts

34 → 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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 #s(literal 1/12 binary64) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)) #s(approx (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) 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 (-.f64 (.f64 (-.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)) (neg.f64 N)) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (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 #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 (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 (/.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)))
#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 #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) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) (.f64 N N))) 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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.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 (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) (.f64 N (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N (neg.f64 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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.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))) (.f64 N N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 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)) (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:

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)

regimes17.0ms (0.2%)

Memory

-2.6MiB live, 36.5MiB allocated

Counts

32 → 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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 #s(literal 1/12 binary64) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (/.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) 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 (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal 1 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)) #s(approx (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) N) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) 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 (-.f64 (.f64 (-.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)) (neg.f64 N)) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (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 #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 (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 (/.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)))
#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 #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) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) (.f64 N N))) 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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.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 (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) (.f64 N (-.f64 #s(literal 0 binary64) (.f64 N N)))) (.f64 N (neg.f64 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 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (neg.f64 N) (.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))) (.f64 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:

8.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.6%	1	`N`
97.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.2%)

Memory

-14.3MiB live, 25.0MiB allocated

Counts

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

Calls

2 calls:

6.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.6%	1	`N`
97.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`N`
96.7%	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

13.4MiB live, 13.4MiB 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

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
96.2%	1	`N`
96.2%	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

-28.8MiB live, 13.6MiB 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 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 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.8%	1	`N`
95.8%	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

10.1MiB live, 10.1MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.3%	1	`N`
94.3%	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

6.9MiB live, 6.9MiB 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
86.4%	1	`N`
86.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004319512649919588	0.002793723557529937

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004319512649919588	0.002793723557529937

Compiler

Compiled 10 to 10 computations (0% saved)

simplify38.0ms (0.5%)

Memory

-19.2MiB live, 59.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	320
1	110	320
2	187	320
3	319	320
4	511	320
5	708	320
6	826	320
7	890	320
8	894	320

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 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 #s(literal 1/12 binary64) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 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 #s(literal 1/12 binary64) N)) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) (neg.f64 (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- (/ 1/3 N) 1/2) (neg (neg N))) (* N N)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))) (.f64 (.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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))

soundness1.4s (19%)

Memory

19.4MiB live, 570.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	783	4386
1	2417	4015
2	7881	3994
0	8511	3786
0	60	398
0	96	375
1	430	365
2	3464	361
0	9627	351
0	214	864
1	594	795
2	1464	779
3	4036	771
0	8170	733
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	36	184
0	60	185
1	277	163
2	2223	163
0	8107	163
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×	fuel
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 599 to 297 computations (50.4% saved)

preprocess61.0ms (0.8%)

Memory: 0.8MiB live, 116.2MiB allocated
Compiler: Compiled 708 to 216 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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	82	320
1	110	320
2	187	320
3	319	320
4	511	320
5	708	320
6	826	320
7	890	320
8	894	320

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	82	320
1	110	320
2	187	320
3	319	320
4	511	320
5	708	320
6	826	320
7	890	320
8	894	320

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (21.6%)

explain138.0ms (1.9%)

preprocess23.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.6%)

series52.0ms (0.7%)

simplify151.0ms (2.1%)

rewrite178.0ms (2.5%)

eval77.0ms (1.1%)

prune15.0ms (0.2%)

simplify145.0ms (2%)

localize196.0ms (2.7%)

series32.0ms (0.4%)

simplify403.0ms (5.6%)

rewrite214.0ms (3%)

eval146.0ms (2%)

prune65.0ms (0.9%)

simplify154.0ms (2.1%)

localize254.0ms (3.5%)

series7.0ms (0.1%)

simplify136.0ms (1.9%)

rewrite284.0ms (3.9%)

eval200.0ms (2.8%)

prune57.0ms (0.8%)

simplify128.0ms (1.8%)

localize359.0ms (5%)

series30.0ms (0.4%)

simplify215.0ms (3%)

rewrite252.0ms (3.5%)

eval102.0ms (1.4%)

prune38.0ms (0.5%)

regimes33.0ms (0.5%)

regimes19.0ms (0.3%)

regimes17.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify38.0ms (0.5%)

soundness1.4s (19%)

preprocess61.0ms (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	82	320
1	110	320
2	187	320
3	319	320
4	511	320
5	708	320
6	826	320
7	890	320
8	894	320