Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.5s (17.4%)

Memory

1.4MiB live, 1 348.2MiB allocated

Samples

947.0ms	6 451×	1	valid
102.0ms	1 805×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 813.0ms

ival-log1p: 287.0ms (35.3% of total)

ival-log: 230.0ms (28.3% of total)

adjust: 134.0ms (16.5% of total)

ival-sub: 71.0ms (8.7% of total)

ival->: 50.0ms (6.2% of total)

ival-<: 17.0ms (2.1% of total)

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

exact: 9.0ms (1.1% of total)

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

Bogosity

explain116.0ms (1.3%)

Memory

15.2MiB live, 172.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
251	2	(250.8397681295422)	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	-	`N`
0	0	-	-	`(log.f64 N)`
0	0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	253	0

Confusion

	Predicted +	Predicted -
+	251	0
-	2	3

Precision

0.9920948616600791

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	2	0	3

Precision?

0.9920948616600791

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	400×	1	valid
6.0ms	112×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 15.0ms (31% of total)

ival-log1p: 15.0ms (31% of total)

adjust: 8.0ms (16.5% of total)

ival-add: 5.0ms (10.3% of total)

ival-sub: 4.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.2%)

Memory

8.8MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory

-20.2MiB live, 19.0MiB 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	109	18
8	158	18
9	174	18
10	182	18
0	182	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)

localize51.0ms (0.6%)

Memory

3.6MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	47.85973544429772	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

26.0ms	200×	1	valid
3.0ms	56×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 7.0ms (33.6% of total)

ival-log: 6.0ms (28.8% of total)

adjust: 4.0ms (19.2% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.7%)

Memory

-1.2MiB live, 53.3MiB 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
33.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
23.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify173.0ms (2%)

Memory

23.3MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	250	234
2	588	233
3	1601	227
4	4231	223
5	6313	223
6	7369	223
0	8152	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)

rewrite220.0ms (2.5%)

Memory

-29.7MiB live, 213.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	42	15
2	269	15
3	2628	15
0	8874	12

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

eval82.0ms (0.9%)

Memory: 30.2MiB live, 105.1MiB allocated
Compiler: Compiled 12 538 to 1 566 computations (87.5% saved)

prune70.0ms (0.8%)

Memory

-16.8MiB live, 30.4MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	426	21	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	427	21	448

Accuracy

99.4%

Counts

448 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	25.8%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.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))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	25.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	25.2%	(/.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))))
	25.1%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
▶	25.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 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 (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)))))
	25.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 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 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	25.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
	25.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
▶	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.2%	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))
	28.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 942 to 610 computations (68.6% saved)

simplify158.0ms (1.8%)

Memory

13.4MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	32640	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
cost-diff	80192	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 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 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	39424	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(log.f64 N)
cost-diff	0	(log1p.f64 N)
cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	465
0	69	426
1	142	426
2	401	385
3	2490	385
4	7787	385
0	8845	385

Stop Event

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

Calls

Call 1

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

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

localize250.0ms (2.9%)

Memory

-15.8MiB live, 141.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.48960878907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.700405322358587	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.7179452637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.10483985703639	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
accuracy	0.48960878907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.700405322358587	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.7179452637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	46.128865158083315	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0.0	(log.f64 N)
accuracy	0.015625	(log1p.f64 N)
accuracy	47.85973544429772	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.540966372418296	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.078125	(/.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	0.1328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.33984375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.3006123857719225	#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

172.0ms	195×	1	valid
16.0ms	61×	0	valid

Compiler

Compiled 1 037 to 79 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 47.0ms (29.7% of total)

ival-sub: 37.0ms (23.4% of total)

adjust: 14.0ms (8.9% of total)

ival-mult: 12.0ms (7.6% of total)

ival-pow: 11.0ms (7% of total)

ival-log1p: 9.0ms (5.7% of total)

ival-log: 9.0ms (5.7% of total)

const: 6.0ms (3.8% of total)

ival-add: 6.0ms (3.8% of total)

ival-pow2: 4.0ms (2.5% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series179.0ms (2%)

Memory

-2.6MiB live, 81.3MiB allocated

Counts

20 → 131

Calls

Call 1

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

Outputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 1 N)
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(log N)
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ 1 (pow (log N) 2))
(+ (* -1 (/ N (pow (log N) 3))) (/ 1 (pow (log N) 2)))
(+ (* N (- (* 1/2 (/ N (pow (log N) 3))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))
(+ (* N (- (* N (+ (* N (- (* 1/2 (/ 1 (pow (log N) 4))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 5))) (* 1/3 (/ 1 (pow (log N) 3)))))) (* 1/2 (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))
(+ (* -1 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (* 3/2 (log N))))))
(+ (* -1 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* 3/2 (log N)) (* N (- (+ 1/2 (+ (* -7/4 (log N)) (+ (* -3/2 (/ (- (* -3/2 (pow (log N) 5)) (pow (log N) 4)) (pow (log N) 4))) (+ (* -3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 7/4 (log N)))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (+ (* 2 (/ (+ 1 (+ (* -3/2 (log N)) (* 3/2 (log N)))) (log N))) (/ 1 (log N)))))))))))
(+ (* -1 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* 3/2 (log N)) (* N (- (+ 1/2 (+ (* -7/4 (log N)) (+ (* -3/2 (/ (- (* -3/2 (pow (log N) 5)) (pow (log N) 4)) (pow (log N) 4))) (+ (* -3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (+ (* 7/4 (log N)) (* N (- (+ (* -15/8 (log N)) (+ (* -3/2 (/ (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))) (pow (log N) 4))) (+ (* -3/2 (/ (- (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))) (* (pow (log N) 3) (+ 1 (* -1/2 (log N))))) (pow (log N) 4))) (+ (* 7/4 (/ (- (* -3/2 (pow (log N) 5)) (pow (log N) 4)) (pow (log N) 4))) (+ (* 7/4 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (+ (* 15/8 (log N)) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))))))) (+ 1/3 (+ (* -1 (/ (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (pow (log N) 3))) (+ (* 2 (/ (- (+ 1/2 (+ (* -7/4 (log N)) (+ (* -3/2 (/ (- (* -3/2 (pow (log N) 5)) (pow (log N) 4)) (pow (log N) 4))) (+ (* -3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 7/4 (log N)))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (+ (* 2 (/ (+ 1 (+ (* -3/2 (log N)) (* 3/2 (log N)))) (log N))) (/ 1 (log N))))) (log N))) (/ (* (+ 1 (+ (* -3/2 (log N)) (* 3/2 (log N)))) (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2))) (pow (log N) 4)))))))))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (+ (* 2 (/ (+ 1 (+ (* -3/2 (log N)) (* 3/2 (log N)))) (log N))) (/ 1 (log N)))))))))))
(* -1 (/ (pow (log N) 5) (pow N 3)))
(/ (- (* N (- (* -3/2 (pow (log N) 5)) (pow (log N) 4))) (pow (log N) 5)) (pow N 3))
(/ (- (* N (- (+ (* -3/2 (pow (log N) 5)) (* N (- (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))) (* (pow (log N) 3) (+ 1 (* -1/2 (log N))))))) (pow (log N) 4))) (pow (log N) 5)) (pow N 3))
(/ (- (* N (- (+ (* -3/2 (pow (log N) 5)) (* N (- (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (+ (* 7/4 (pow (log N) 5)) (* N (- (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (+ (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (pow (log N) 2)))) (* (pow (log N) 3) (- (* 1/3 (log N)) 1)))))) (* (pow (log N) 3) (+ 1 (* -1/2 (log N))))))) (pow (log N) 4))) (pow (log N) 5)) (pow N 3))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
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Calls

3 calls:

Time	Variable		Point	Expression
91.0ms	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 (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1)) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1) (/ (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 3) (pow (log (+ 1 N)) 2))
55.0ms	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 (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1)) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1) (/ (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 3) (pow (log (+ 1 N)) 2))
14.0ms	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 (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1)) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 3) (pow (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) -1) (/ (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (- (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (* (/ (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (pow (log (+ 1 N)) 3)) (pow (log N) 3))) (* 1 (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 3) (pow (log (+ 1 N)) 2))

Time

Variable

Point

Expression

91.0ms

inf

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

55.0ms

-inf

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

14.0ms

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

simplify355.0ms (4.1%)

Memory

6.8MiB live, 236.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1239	25699
1	4431	22255
0	8176	21393

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 130

Calls

Call 1

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

rewrite298.0ms (3.4%)

Memory

10.7MiB live, 337.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	291
0	69	188
1	343	188
2	2817	188
0	9264	188

Stop Event

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

Counts

20 → 1 365

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(pow.f64 (/.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.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))))
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eval384.0ms (4.4%)

Memory: -4.2MiB live, 546.5MiB allocated
Compiler: Compiled 142 424 to 7 198 computations (94.9% saved)

prune91.0ms (1%)

Memory

7.7MiB live, 242.6MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	1 823	35	1 858
Fresh	5	11	16
Picked	3	2	5
Done	0	0	0
Total	1 831	48	1 879

Accuracy

99.6%

Counts

1 879 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.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))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.0%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.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)))))
	27.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (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)))))
	26.4%	(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	26.9%	(/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (fma.f64 (log1p.f64 N) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	26.7%	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (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)))))
	25.8%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.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))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	25.7%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.8%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log1p.f64 N)))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 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 (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)))))
	26.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.0%	(/.f64 (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
▶	25.2%	(/.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))))
	25.1%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	26.5%	(/.f64 (-.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))
	26.1%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.3%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.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 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))))
	26.1%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	26.3%	(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (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 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.4%	(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	25.7%	(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (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)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))
	25.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 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 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (exp.f64 (.f64 (log.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)))))
	25.1%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
	25.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.2%	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))
	28.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	28.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	96.2%	#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))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log 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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	96.0%	#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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) N)))
▶	92.1%	#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))
▶	96.3%	#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)))))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#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)))
	91.9%	#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 5 990 to 1 813 computations (69.7% saved)

simplify133.0ms (1.5%)

Memory

16.0MiB live, 172.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
cost-diff	6784	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	12096	(*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	45632	(fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	6656	(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
cost-diff	39424	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
cost-diff	0	(/.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))))
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	56	642
0	95	615
1	170	607
2	362	601
3	1083	601
4	4054	579
5	7199	577
0	8429	576

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

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

localize336.0ms (3.9%)

Memory

3.0MiB live, 330.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4296875	(/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
accuracy	0.48960878907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7179452637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	46.17626584812554	(fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.48960878907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7179452637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	1.665931576562285	(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
accuracy	46.128865158083315	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0.48960878907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.700405322358587	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.7179452637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.08698967535421	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
accuracy	0.0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.078125	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.3006123857719225	#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	10.715312037502079	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.07421875	(/.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))))
accuracy	0.1328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.33984375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.3006123857719225	#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

198.0ms	195×	1	valid
71.0ms	61×	0	valid

Compiler

Compiled 1 385 to 109 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-pow: 64.0ms (33.3% of total)

ival-div: 28.0ms (14.6% of total)

ival-log: 20.0ms (10.4% of total)

adjust: 18.0ms (9.4% of total)

ival-mult: 15.0ms (7.8% of total)

ival-sub: 10.0ms (5.2% of total)

ival-log1p: 10.0ms (5.2% of total)

ival-exp: 7.0ms (3.6% of total)

ival-add: 7.0ms (3.6% of total)

const: 6.0ms (3.1% of total)

ival-pow2: 4.0ms (2.1% of total)

ival-neg: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series170.0ms (2%)

Memory

-26.1MiB live, 90.2MiB allocated

Counts

23 → 174

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

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

3 calls:

Time

Variable

Point

Expression

75.0ms

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

33.0ms

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

26.0ms

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

simplify384.0ms (4.4%)

Memory

33.7MiB live, 228.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1633	31701
1	5732	29230
0	8209	27940

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 173

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(pow (log N) 3)
(* -1 (/ (pow (log N) 5) (pow N 3)))
(/ (+ (* -1 (* N (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))) (* -1 (pow (log N) 5))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (* N (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))))) (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* N (+ (* -1 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* N (+ (* -1 (- (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))))))) (pow (log N) 2)))))))) (pow N 3))
(/ (pow (log N) 4) (pow N 3))
(/ (+ (* N (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(/ (+ (* N (- (+ (* 2 (pow (log N) 3)) (* N (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4)))))) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(/ (+ (* N (- (+ (* 2 (pow (log N) 3)) (* N (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (+ (* N (- (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (+ (* -15/8 (pow (log N) 4)) (+ (* -3/2 (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4))))) (* 7/4 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))))))) (pow (log N) 2))) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4)))))) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(+ (* -1 (log N)) (* N (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 3/2 (log N))))))
(+ (* -1 (log N)) (* N (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (+ (* 3/2 (log N)) (* N (- (+ (* -7/4 (log N)) (+ (* -1 (/ (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))) (pow (log N) 4))) (* 3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 3/2 (log N)))) (log N)))))))))))
(+ (* -1 (log N)) (* N (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (+ (* 3/2 (log N)) (* N (- (+ (* -7/4 (log N)) (+ (* -1 (/ (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))) (pow (log N) 4))) (+ (* 3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* N (- (+ (* -7/4 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (+ (* -1 (/ (- (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))))) (pow (log N) 4))) (+ (* 3/2 (/ (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))) (pow (log N) 4))) (+ (* 15/8 (log N)) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (pow (log N) 3))) (+ (* 2 (/ (- (+ (* -7/4 (log N)) (+ (* -1 (/ (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))) (pow (log N) 4))) (* 3/2 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 3/2 (log N)))) (log N))))) (log N))) (/ (* (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 3/2 (log N)))) (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2))) (pow (log N) 4))))))))) (+ (* -1 (/ (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (pow (log N) 3))) (* 2 (/ (+ 2 (+ (* -1 (/ (- (pow (log N) 4) (* -3/2 (pow (log N) 5))) (pow (log N) 4))) (* 3/2 (log N)))) (log N)))))))))))
(* -1 (* (/ 1 (pow N 3)) (sqrt (pow (log N) 7))))
(/ (+ (* -1 (sqrt (pow (log N) 7))) (* -1 (* (* N (- (log N) (* -3/2 (pow (log N) 2)))) (sqrt (pow (log N) 3))))) (pow N 3))
(/ (+ (* -1 (sqrt (pow (log N) 7))) (* N (+ (* -1 (* (sqrt (pow (log N) 3)) (- (log N) (* -3/2 (pow (log N) 2))))) (* -1 (* (* N (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2))))) (sqrt (pow (log N) 3))))))) (pow N 3))
(/ (+ (* -1 (sqrt (pow (log N) 7))) (* N (+ (* -1 (* (sqrt (pow (log N) 3)) (- (log N) (* -3/2 (pow (log N) 2))))) (* N (+ (* -1 (* (sqrt (pow (log N) 3)) (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2)))))) (* -1 (* (* N (- (* 1/3 (log N)) (+ 1 (+ (* -15/8 (pow (log N) 2)) (+ (* -3/2 (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2))))) (* 7/4 (- (log N) (* -3/2 (pow (log N) 2))))))))) (sqrt (pow (log N) 3))))))))) (pow N 3))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(* -1 (/ (pow (log N) 2) (pow N 3)))
(/ (+ (* -1 (* N (- (log N) (* -3/2 (pow (log N) 2))))) (* -1 (pow (log N) 2))) (pow N 3))
(/ (+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (* N (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2)))))) (* -1 (- (log N) (* -3/2 (pow (log N) 2))))))) (pow N 3))
(/ (+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (- (log N) (* -3/2 (pow (log N) 2)))) (* N (+ (* -1 (* N (- (* 1/3 (log N)) (+ 1 (+ (* -15/8 (pow (log N) 2)) (+ (* -3/2 (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2))))) (* 7/4 (- (log N) (* -3/2 (pow (log N) 2)))))))))) (* -1 (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2)))))))))) (pow N 3))
(/ 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 (* 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 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)
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rewrite312.0ms (3.6%)

Memory

-1.1MiB live, 190.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	432
0	95	401
1	410	341
2	3199	341
0	9358	339

Stop Event

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

Counts

23 → 1 066

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

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

eval383.0ms (4.4%)

Memory: 28.4MiB live, 488.5MiB allocated
Compiler: Compiled 151 193 to 7 383 computations (95.1% saved)

prune121.0ms (1.4%)

Memory

-22.9MiB live, 197.5MiB allocated

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	1 860	27	1 887
Fresh	17	24	41
Picked	2	3	5
Done	0	2	2
Total	1 879	56	1 935

Accuracy

99.7%

Counts

1 935 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.5%	(fma.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.0%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.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)))))
	27.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (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)))))
	26.4%	(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(/.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))
	26.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.3%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	26.9%	(/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (fma.f64 (log1p.f64 N) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.7%	(/.f64 (fma.f64 (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (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)))))
	26.8%	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
	26.8%	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
	24.7%	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 #s(approx (log (+ 1 N)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (neg.f64 (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64)))))
	26.8%	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (exp.f64 (log.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)))))
	25.8%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.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))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	26.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
	27.0%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))) (.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	25.2%	(/.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))))
	25.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (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))))
	25.1%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	26.1%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.1%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	26.4%	(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	25.8%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
▶	26.4%	(/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #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 (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)))))
	26.8%	(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (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)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
	25.2%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.8%	(.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
	25.2%	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	28.0%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log 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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	96.0%	#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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) N)))
✓	92.1%	#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))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
	95.3%	#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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
▶	96.8%	#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 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
▶	92.7%	#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)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
	95.3%	#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 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))

Compiler

Compiled 6 074 to 2 229 computations (63.3% saved)

simplify151.0ms (1.7%)

Memory

1.7MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
cost-diff	5760	(*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	6464	(fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))
cost-diff	32768	(+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	6720	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
cost-diff	0	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
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 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
cost-diff	1024	(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 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)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
cost-diff	1152	(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	669
0	99	663
1	168	662
2	379	660
3	1163	640
4	3731	601
5	6127	600
0	8241	595

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (2.9%)

Memory

-5.6MiB live, 343.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6925928223585869	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.7101327637479348	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	1.046989525830444	(fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))
accuracy	45.98647530197326	(+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy	0.37109375	(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.48570253907376815	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.6925928223585869	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	45.50094901335091	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
accuracy	45.7375023649299	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	0.07421875	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
accuracy	0.11328125	(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
accuracy	2.3006123857719225	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
accuracy	4.602349487087619	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
accuracy	0.39453125	(/.f64 #s(literal 1/12 binary64) (*.f64 N N))
accuracy	0.4069137695368841	(/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64)))
accuracy	2.270190479574179	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))
accuracy	2.3006123857719225	#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 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))

Samples

167.0ms	193×	1	valid
24.0ms	61×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 1 347 to 119 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div: 34.0ms (21.7% of total)

adjust: 22.0ms (14% of total)

ival-mult: 17.0ms (10.8% of total)

ival-add: 16.0ms (10.2% of total)

ival-log: 16.0ms (10.2% of total)

const: 11.0ms (7% of total)

ival-pow: 11.0ms (7% of total)

ival-sub: 10.0ms (6.4% of total)

ival-log1p: 9.0ms (5.7% of total)

ival-pow2: 6.0ms (3.8% of total)

ival-neg: 4.0ms (2.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series76.0ms (0.9%)

Memory

6.2MiB live, 79.9MiB allocated

Counts

24 → 151

Calls

Call 1

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

Outputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(* -1 (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)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (+ (* -1 (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))) (/ 1 (pow (log N) 2)))) 1/2)))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
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))))
(/ N (pow (log N) 2))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (* N (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (pow (log N) 2))) (* 2/3 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* -1 (/ (pow (log N) 5) (pow N 3)))
(/ (+ (* -1 (* N (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))) (* -1 (pow (log N) 5))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (* N (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))))) (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* N (+ (* -1 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* N (+ (* -1 (- (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))))))) (pow (log N) 2)))))))) (pow N 3))
(/ (pow (log N) 4) (pow N 3))
(/ (+ (* N (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(/ (+ (* N (- (+ (* 2 (pow (log N) 3)) (* N (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4)))))) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

inf

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

19.0ms

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

19.0ms

-inf

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

simplify213.0ms (2.4%)

Memory

11.7MiB live, 254.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1206	16609
1	4099	15083
0	8381	14396

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 150

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)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (+ (* -1 (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))) (/ 1 (pow (log N) 2)))) 1/2)))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
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))))
(/ N (pow (log N) 2))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (* N (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (pow (log N) 2))) (* 2/3 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* -1 (/ (pow (log N) 5) (pow N 3)))
(/ (+ (* -1 (* N (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))) (* -1 (pow (log N) 5))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (* N (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))))) (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))))) (pow N 3))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* N (+ (* -1 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* N (+ (* -1 (- (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))))))) (pow (log N) 2)))))))) (pow N 3))
(/ (pow (log N) 4) (pow N 3))
(/ (+ (* N (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(/ (+ (* N (- (+ (* 2 (pow (log N) 3)) (* N (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4)))))) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(/ (+ (* N (- (+ (* 2 (pow (log N) 3)) (* N (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (+ (* N (- (+ (* 2 (* (log N) (+ 1 (* -1/2 (log N))))) (* 2 (* (pow (log N) 2) (- (* 1/3 (log N)) 1)))) (+ (* -15/8 (pow (log N) 4)) (+ (* -3/2 (- (+ (* 2 (* (pow (log N) 2) (+ 1 (* -1/2 (log N))))) (pow (log N) 2)) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4))))) (* 7/4 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))))))) (pow (log N) 2))) (+ (* -3/2 (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (* 7/4 (pow (log N) 4)))))) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
(* -1 (/ (pow (log N) 2) (pow N 3)))
(/ (+ (* -1 (* N (- (log N) (* -3/2 (pow (log N) 2))))) (* -1 (pow (log N) 2))) (pow N 3))
(/ (+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (* N (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2)))))) (* -1 (- (log N) (* -3/2 (pow (log N) 2))))))) (pow N 3))
(/ (+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (- (log N) (* -3/2 (pow (log N) 2)))) (* N (+ (* -1 (* N (- (* 1/3 (log N)) (+ 1 (+ (* -15/8 (pow (log N) 2)) (+ (* -3/2 (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2))))) (* 7/4 (- (log N) (* -3/2 (pow (log N) 2)))))))))) (* -1 (- (+ 1 (* -1/2 (log N))) (+ (* -3/2 (- (log N) (* -3/2 (pow (log N) 2)))) (* 7/4 (pow (log N) 2)))))))))) (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/12 (pow N 2))
(pow (log N) 3)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))))))) 1/2)))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(* 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))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))

Outputs
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))
(* -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 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (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)
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) N)
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (+ (* -1 (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))) (/ 1 (pow (log N) 2)))) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N #s(literal -1 binary64)) N #s(literal 1 binary64)) (.f64 N N))
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)
(/ N (pow (log N) 2))
(/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(*.f64 (fma.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N)
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N)))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N)
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (* N (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (pow (log N) 2))) (* 2/3 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N)))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N)
(* -1 (/ (pow (log N) 5) (pow N 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/ (+ (* -1 (* N (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))) (* -1 (pow (log N) 5))) (pow N 3))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))) N (pow.f64 (log.f64 N) #s(literal 5 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (* N (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5)))))) (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5))))))) (pow N 3))
(/.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))) #s(literal -3/2 binary64) (.f64 #s(literal 7/4 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))))) N (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(/ (+ (* -1 (pow (log N) 5)) (* N (+ (* -1 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* N (+ (* -1 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* N (+ (* -1 (- (* (pow (log N) 3) (- (* 1/3 (log N)) 1)) (+ (* -15/8 (pow (log N) 5)) (+ (* -3/2 (- (* (pow (log N) 3) (+ 1 (* -1/2 (log N)))) (+ (* -3/2 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))) (* 7/4 (pow (log N) 5))))) (* 7/4 (- (pow (log N) 4) (* -3/2 (pow (log N) 5)))))))) (pow (log N) 2)))))))) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 N) #s(literal -1 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 #s(literal 15/8 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))) (fma.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))) #s(literal -3/2 binary64) (.f64 #s(literal 7/4 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))))) #s(literal -3/2 binary64) (.f64 #s(literal 7/4 binary64) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))))))) N (neg.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))) #s(literal -3/2 binary64) (.f64 #s(literal 7/4 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))))))) N (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(/ (pow (log N) 4) (pow N 3))
(/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ (* N (- (* 2 (pow (log N) 3)) (* -3/2 (pow (log N) 4)))) (pow (log N) 4)) (pow N 3))
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rewrite174.0ms (2%)

Memory

5.0MiB live, 193.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	448
0	97	410
1	446	399
2	4020	399
0	8246	386

Stop Event

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

Counts

24 → 608

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)
(*.f64 N (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1/144 binary64) (pow.f64 N #s(literal 4 binary64)))) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 3 binary64)) (.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/1728 binary64))) N) (fma.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64))))
(/.f64 (*.f64 N (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1/144 binary64) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (.f64 N (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 3 binary64)) (.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N (.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64))) N))
(fma.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) N)) N (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))
(fma.f64 N (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (.f64 N (.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)))))
(fma.f64 N (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) N)) (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 N N)))))
(+.f64 (.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N) (.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64))) N))
(+.f64 (.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))
(+.f64 (.f64 N (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) (.f64 N (*.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)))))
(+.f64 (.f64 N (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) N))) (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))))
(exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1 binary64)))
(.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal 1 binary64))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
(/.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1 binary64))
(/.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (*.f64 N (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(/.f64 (*.f64 N (fma.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(fma.f64 #s(literal 1 binary64) N (*.f64 (/.f64 #s(literal 1/2 binary64) N) N))
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(pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 N)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))

eval247.0ms (2.8%)

Memory: 10.3MiB live, 366.4MiB allocated
Compiler: Compiled 100 191 to 5 485 computations (94.5% saved)

prune111.0ms (1.3%)

Memory

-17.0MiB live, 183.2MiB allocated

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1 398	14	1 412
Fresh	12	34	46
Picked	2	3	5
Done	1	4	5
Total	1 413	55	1 468

Accuracy

99.7%

Counts

1 468 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.0%	(fma.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.2%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.5%	(fma.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	25.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	26.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	27.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (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)))))
	26.4%	(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(fma.f64 (*.f64 (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.8%	(/.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))
	26.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.3%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	26.9%	(/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (fma.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (pow.f64 (log1p.f64 N) #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 (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)))))
	26.7%	(/.f64 (fma.f64 (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (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)))))
	26.8%	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
	26.8%	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
	24.7%	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 #s(approx (log (+ 1 N)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (neg.f64 (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64)))))
	26.8%	(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #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 (exp.f64 (log.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)))))
	25.8%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.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))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	26.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
✓	25.2%	(/.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))))
	25.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (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))))
	25.1%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	26.1%	(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	26.4%	(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	25.8%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.4%	(/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #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 (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)))))
	26.4%	(/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.4%	(/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -3 binary64))))
	26.8%	(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (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)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.8%	(.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
	25.2%	(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
✓	28.0%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1/2 binary64)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log 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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	96.0%	#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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 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)) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1/144 binary64) (pow.f64 N #s(literal 4 binary64)))) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))))))
	95.3%	#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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
	96.8%	#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 (/.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
✓	92.7%	#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)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
	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)) #s(approx (* (- (+ (+ (/ 1/24 (pow N 3)) (/ 1/2 N)) 1) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
	92.7%	#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)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N)))))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	3.3%	#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

Compiler

Compiled 8 705 to 1 718 computations (80.3% saved)

regimes70.0ms (0.8%)

Memory

19.6MiB live, 57.6MiB allocated

Counts

98 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#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)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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 (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (- (+ (+ (/ 1/24 (pow N 3)) (/ 1/2 N)) 1) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (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 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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))))
#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 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N 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 (/.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 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.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))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))) #s(literal -1/2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1/144 binary64) (pow.f64 N #s(literal 4 binary64)))) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))))))
(/.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 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.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))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.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)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (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)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log1p.f64 N)) (log1p.f64 N) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))) (.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)))))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (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 (log.f64 N) #s(literal 3 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal -3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))

Outputs

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

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

Calls

2 calls:

45.0ms	N
18.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.2%	2	`N`
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.1%	2	`N`
99.1%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes26.0ms (0.3%)

Memory

-19.0MiB live, 20.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

Calls

2 calls:

20.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	N
5.0ms	(-.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)

regimes13.0ms (0.2%)

Memory

-20.3MiB live, 16.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
5.0ms	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

10.4MiB live, 10.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#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)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) 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)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 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
92.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

#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
83.5%	1	`N`
83.5%	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

-36.9MiB live, 4.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

Outputs

#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

Calls

2 calls:

5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
1.0ms	N

Results

Accuracy	Segments	Branch
3.3%	1	`N`
3.3%	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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004639604078056081	0.000683872568798094

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1121.821564177321	1461.7607845364655

Samples

2.0ms

48×

valid

Compiler

Compiled 130 to 107 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log1p: 1.0ms (77.6% of total)

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

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

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

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

simplify62.0ms (0.7%)

Memory

12.6MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	118	366
1	194	362
2	355	360
3	711	360
4	1644	352
5	4052	350
6	7528	350

Stop Event

1×	node limit

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) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))))))
#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 (/.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (- (+ (+ (/ 1/24 (pow N 3)) (/ 1/2 N)) 1) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

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) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))))))
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(approx (- (log (+ N 1)) (log N)) (pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) 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 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
#s(approx (- (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 (* (- (+ (+ (/ 1/24 (pow N 3)) (/ 1/2 N)) 1) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (- (+ (+ (/ 1/24 (pow N 3)) (/ 1/2 N)) 1) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N)))) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N))) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (/ (neg (pow (log N) 3)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

soundness1.3s (14.5%)

Memory

-6.8MiB live, 719.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1633	31701
1	5732	29230
0	8209	27940
0	88	258
1	250	234
2	588	233
3	1601	227
4	4231	223
5	6313	223
6	7369	223
0	8152	214
0	1206	16609
1	4099	15083
0	8381	14396
0	40	291
0	69	188
1	343	188
2	2817	188
0	9264	188
0	60	448
0	97	410
1	446	399
2	4020	399
0	8246	386
0	6	16
0	10	15
1	42	15
2	269	15
3	2628	15
0	8874	12

Stop Event

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

Compiler

Compiled 614 to 319 computations (48% saved)

preprocess150.0ms (1.7%)

Memory: -26.7MiB live, 151.5MiB allocated
Compiler: Compiled 800 to 300 computations (62.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (17.4%)

explain116.0ms (1.3%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize51.0ms (0.6%)

series63.0ms (0.7%)

simplify173.0ms (2%)

rewrite220.0ms (2.5%)

eval82.0ms (0.9%)

prune70.0ms (0.8%)

simplify158.0ms (1.8%)

localize250.0ms (2.9%)

series179.0ms (2%)

simplify355.0ms (4.1%)

rewrite298.0ms (3.4%)

eval384.0ms (4.4%)

prune91.0ms (1%)

simplify133.0ms (1.5%)

localize336.0ms (3.9%)

series170.0ms (2%)

simplify384.0ms (4.4%)

rewrite312.0ms (3.6%)

eval383.0ms (4.4%)

prune121.0ms (1.4%)

simplify151.0ms (1.7%)

localize252.0ms (2.9%)

series76.0ms (0.9%)

simplify213.0ms (2.4%)

rewrite174.0ms (2%)

eval247.0ms (2.8%)

prune111.0ms (1.3%)

regimes70.0ms (0.8%)

regimes13.0ms (0.1%)

regimes26.0ms (0.3%)

regimes12.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

simplify62.0ms (0.7%)

soundness1.3s (14.5%)

preprocess150.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14