Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample1.2s (9.1%)

Memory

20.1MiB live, 1 630.4MiB allocated

Samples

857.0ms	7 036×	1	valid
92.0ms	1 220×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 722.0ms

ival-log1p: 276.0ms (38.2% of total)

ival-log: 210.0ms (29.1% of total)

ival-sub: 89.0ms (12.3% of total)

adjust: 84.0ms (11.6% of total)

ival->: 22.0ms (3% of total)

ival-<: 16.0ms (2.2% of total)

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

exact: 9.0ms (1.2% of total)

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

Bogosity

preprocess29.0ms (0.2%)

Memory

-18.3MiB live, 20.1MiB allocated

Algorithm

2×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
74×	`sub-neg`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (log (+ N 1)) (log N))

Outputs
(- (log (+ N 1)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))

Call 2

Inputs
(- (log (+ N 1)) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))

Outputs
(- (log (+ N 1)) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(- (log (- 1 N)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))
(- (log (neg N)) (log (- 1 N)))

explain119.0ms (0.9%)

Memory

26.6MiB live, 146.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	2	(51.6075360716288)	3	(19.94733731683164)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	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	244	4

Confusion

	Predicted +	Predicted -
+	242	3
-	2	9

Precision

0.9918032786885246

Recall

0.9877551020408163

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	242	3	0
-	2	1	8

Precision?

0.9879032258064516

Recall?

1.0

Freqs

test

number	freq
0	12
1	244

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	424×	1	valid
5.0ms	88×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 16.0ms (31.2% of total)

adjust: 14.0ms (27.3% of total)

ival-log1p: 14.0ms (27.3% of total)

ival-sub: 4.0ms (7.8% of total)

ival-add: 3.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 N)
✓	cost-diff	(log1p.f64 N)
✓	cost-diff	(-.f64 (log1p.f64 N) (log.f64 N))

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	11	14
2	15	14
3	21	14
4	29	14
5	44	14
6	76	14
7	101	14
8	143	14
9	158	14
10	166	14
0	166	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (log (+ 1 N)) (log N))
(log (+ 1 N))
N
(log N)

Outputs
(- (log (+ 1 N)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log (+ 1 N))
(log1p.f64 N)
N
(log N)
(log.f64 N)

localize39.0ms (0.3%)

Memory

4.6MiB live, 40.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))

Samples

30.0ms	212×	1	valid
2.0ms	44×	0	valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log1p: 7.0ms (39.4% of total)

ival-log: 6.0ms (33.7% of total)

adjust: 2.0ms (11.2% of total)

ival-sub: 2.0ms (11.2% of total)

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

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

series62.0ms (0.5%)

Memory

-45.3MiB live, 85.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (log (+ 1 N)) (log N))>
#<alt (log (+ 1 N))>
#<alt (log N)>

Outputs
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	N	@	0	(log N)
19.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
5.0ms	N	@	0	(- (log (+ 1 N)) (log N))
0.0ms	N	@	-inf	(- (log (+ 1 N)) (log N))

rewrite360.0ms (2.8%)

Memory

18.3MiB live, 522.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 856×	`/-lowering-/.f32`
4 856×	`/-lowering-/.f64`
3 172×	`-lowering-.f32`
3 172×	`-lowering-.f64`
2 364×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	38	12
2	270	12
3	2544	12
0	8651	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 286

Calls

Call 1

Inputs
(- (log (+ 1 N)) (log N))
(log (+ 1 N))
(log N)

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

simplify342.0ms (2.7%)

Memory

-2.4MiB live, 532.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 456×	`accelerator-lowering-fma.f32`
11 456×	`accelerator-lowering-fma.f64`
2 738×	`-lowering-.f32`
2 738×	`-lowering-.f64`
2 050×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	318
1	240	272
2	577	271
3	1571	265
4	4180	257
5	6291	257
6	7335	257
0	8044	248

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

eval39.0ms (0.3%)

Memory: 7.5MiB live, 83.9MiB allocated
Compiler: Compiled 10 384 to 1 087 computations (89.5% saved)

prune86.0ms (0.7%)

Memory

-22.7MiB live, 182.1MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	300	22	322
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	23	323

Accuracy

99.5%

Counts

323 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
▶	27.3%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	25.7%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))
	25.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	26.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
▶	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	93.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	91.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	29.8%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	28.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
▶	82.9%	(/.f64 #s(literal 1 binary64) N)
	25.8%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
	25.8%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.6%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
✓	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.7%	(-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
	25.8%	(.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	29.1%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	29.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	30.2%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))

Compiler

Compiled 1 460 to 590 computations (59.6% saved)

simplify248.0ms (1.9%)

Memory

27.4MiB live, 448.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	39104	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
✓	cost-diff	0	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	13568	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 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 #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))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)

Rules

6 312×	`accelerator-lowering-fma.f32`
6 312×	`accelerator-lowering-fma.f64`
2 714×	`-lowering-.f32`
2 714×	`-lowering-.f64`
1 428×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	349
1	82	332
2	147	332
3	330	332
4	602	332
5	1019	332
6	2116	317
7	4967	317
8	7863	317
0	8239	281

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize255.0ms (2%)

Memory

-17.9MiB live, 434.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.9%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	26.9%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.5%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.5%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	29.8%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)
✓	accuracy	29.8%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

170.0ms	211×	1	valid
14.0ms	45×	0	valid

Compiler

Compiled 339 to 41 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-div: 39.0ms (25.8% of total)

ival-log: 39.0ms (25.8% of total)

ival-mult: 23.0ms (15.2% of total)

adjust: 10.0ms (6.6% of total)

ival-add: 10.0ms (6.6% of total)

const: 7.0ms (4.6% of total)

ival-log1p: 7.0ms (4.6% of total)

ival-pow2: 4.0ms (2.7% of total)

ival-pow: 4.0ms (2.7% of total)

ival-neg: 4.0ms (2.7% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series82.0ms (0.6%)

Memory

25.3MiB live, 63.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)>
#<alt (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))>
#<alt (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)>
#<alt (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))>
#<alt (/ 1 N)>
#<alt (* (/ 1 (+ 1 N)) N)>
#<alt (log (* (/ 1 (+ 1 N)) N))>
#<alt (/ 1 (+ 1 N))>
#<alt (+ 1 N)>
#<alt (/ (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))>
#<alt (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))>
#<alt (log (* N (+ 1 N)))>
#<alt (* N (+ 1 N))>
#<alt (+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (/ (pow (log N) 3) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))))>
#<alt (log (+ 1 N))>
#<alt (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))>
#<alt (pow (log (+ 1 N)) 2)>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (neg (log (* (/ 1 (+ 1 N)) N)))>
#<alt (log (/ N (+ 1 N)))>
#<alt (/ 1 (* N (+ 1 N)))>
#<alt (pow (log N) 3)>
#<alt (* (log N) (log (* N (+ 1 N))))>

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt 1>
#<alt (+ 1 (* -1 N))>
#<alt (+ 1 (* N (- N 1)))>
#<alt (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (/ 1 N)) N)>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (/ 1 N) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
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#<alt (+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (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)))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -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))>
#<alt (+ (* -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))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (* -1 N)) N)>
#<alt (/ (+ 1 (* N (- N 1))) N)>
#<alt (/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (log N) 2)>
#<alt (+ (* N (log N)) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* -1/2 (* N (log N))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* N (+ (* -1/2 (log N)) (* 1/3 (* N (log N))))))) (pow (log N) 2))>
#<alt (* 2 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (* 2 (pow (log (/ 1 N)) 2))))>
#<alt (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (* 2 (pow (log (/ 1 N)) 2)))))>
#<alt (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)))>

Calls

72 calls:

Time	Variable		Point	Expression
29.0ms	N	@	-inf	(log (+ 1 N))
12.0ms	N	@	-inf	(+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (/ (pow (log N) 3) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))))
11.0ms	N	@	inf	(+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))) (neg (/ (pow (log N) 3) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))))
3.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))
3.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ 1 N))))))

rewrite926.0ms (7.2%)

Memory

-197.2MiB live, 656.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 306×	`-lowering-.f32`
5 306×	`-lowering-.f64`
4 868×	`/-lowering-/.f32`
4 868×	`/-lowering-/.f64`
2 902×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	243
1	237	219
2	1943	219
0	9075	190

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 779

Calls

Call 1

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

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

simplify588.0ms (4.6%)

Memory

40.6MiB live, 707.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 282×	`accelerator-lowering-fma.f32`
8 282×	`accelerator-lowering-fma.f64`
6 680×	`+-lowering-+.f64`
6 680×	`+-lowering-+.f32`
5 528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	980	12548
1	3310	10729
0	8939	10304

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
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(/ -1/4 (pow N 3))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
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(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
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(/ -1/4 (pow N 2))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
-1/2
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N
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(log N)
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1
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N
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(+ (* -1 (log N)) (* N (+ 1 (+ (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N)))) (log N))) (+ (* -1 (/ (+ (log N) (* -1 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (pow (log N) 2))) (* -1/2 (/ (+ 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N)))) (log N))))))) (+ 1/2 (+ (* -1 (/ (+ (log N) (* -1 (log N))) (pow (log N) 2))) (/ 1 (log N))))))))))
(/ 1 N)
(/ (+ 1 (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
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(/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ 1 N)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* -1 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/2 (/ 1 (log (/ -1 N))))) N)) 1) N))
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(pow (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
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(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
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(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
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(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
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(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
N
(* N (+ 1 N))
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(/ 1 N)
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(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))))
(pow (log (/ 1 N)) 2)
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(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -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))
(+ (* -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))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
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(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
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(/ 1 N)
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (log N) 2)
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(* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)))
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Outputs
(/ -1/4 (pow N 4))
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(/ (- (* 1/3 N) 1/4) (pow N 4))
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(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
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(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
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1
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(.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) N) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) N)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)))
(-.f64 (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)))
(-.f64 (.f64 #s(literal -2 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N)) N))

eval347.0ms (2.7%)

Memory: -3.3MiB live, 388.9MiB allocated
Compiler: Compiled 74 347 to 5 383 computations (92.8% saved)

prune331.0ms (2.6%)

Memory

-36.8MiB live, 459.2MiB allocated

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1 578	34	1 612
Fresh	6	11	17
Picked	2	3	5
Done	0	1	1
Total	1 586	49	1 635

Accuracy

99.7%

Counts

1 635 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	27.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	28.0%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (-.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	27.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	26.7%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	82.8%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	95.5%	(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(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)
▶	95.4%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.4%	(/.f64 (/.f64 (-.f64 (.f64 #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 #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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (*.f64 (-.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) N)
	95.4%	(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	95.4%	(/.f64 (/.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)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.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 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) N)
	95.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))) N)
	95.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.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)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))))) N)
	95.5%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.5%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
	95.5%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
	93.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	28.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	91.1%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	26.7%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	25.6%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	95.5%	(/.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)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))) (*.f64 N (+.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)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))))
	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)))) N)
	93.9%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))) N)
	29.8%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.8%	(/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
▶	95.4%	(/.f64 (*.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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.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)))
	25.8%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
▶	95.6%	(/.f64 #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))))
	28.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	82.9%	(/.f64 #s(literal 1 binary64) N)
	25.8%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
	25.8%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	25.7%	(-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
	25.8%	(.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	95.5%	(*.f64 (/.f64 #s(literal 1 binary64) 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)))
	29.8%	(.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.7%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	94.0%	(neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
	29.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.1%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	29.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	30.2%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	91.2%	(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))

Compiler

Compiled 3 318 to 1 422 computations (57.1% saved)

simplify490.0ms (3.8%)

Memory

39.9MiB live, 502.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
✓	cost-diff	128	(*.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))
✓	cost-diff	6528	(+.f64 (/.f64 (log.f64 N) N) (*.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N)))
✓	cost-diff	6656	(+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))
✓	cost-diff	0	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	cost-diff	256	(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))
✓	cost-diff	0	(-.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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))
✓	cost-diff	0	(/.f64 (*.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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.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)))
✓	cost-diff	128	(*.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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #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 #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))
✓	cost-diff	0	(/.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)))
✓	cost-diff	128	(/.f64 #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))))

Rules

12 048×	`accelerator-lowering-fma.f32`
12 048×	`accelerator-lowering-fma.f64`
3 360×	`+-lowering-+.f64`
3 360×	`+-lowering-+.f32`
3 354×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	687
1	153	667
2	459	640
3	2020	617
0	8220	597

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
1
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
N
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
-1/2
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 1/4 N)
1/4
-1/3
(/ (+ (/ -1/2 N) 1) N)
(+ (/ -1/2 N) 1)
(/ -1/2 N)
-1/2
N
1
(/ (* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N)) (- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N))
(- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))))
1
(/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
-1/2
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 1/4 N)
1/4
N
-1/3
(/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))
(/ 1 N)
(- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(- (log (* (+ (* N N) -1) (/ 1 N))) (log (+ N -1)))
(log (* (+ (* N N) -1) (/ 1 N)))
(* (+ (* N N) -1) (/ 1 N))
(+ (* N N) -1)
(* N N)
N
-1
(/ 1 N)
1
(log (+ N -1))
(+ N -1)
(/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))
(/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N)
(- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N)))))
(+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N))))
(+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2))))
(+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N)))
(/ (log N) N)
(log N)
N
(* (neg (/ (log N) N)) (/ 2/3 N))
(neg (/ (log N) N))
(/ 2/3 N)
2/3
(+ (/ 1 (* N N)) (neg (* (log N) 2)))
(/ 1 (* N N))
1
(* N N)
(neg (* (log N) 2))
(* (log N) 2)
2
(* (neg (/ (log N) N)) (/ -1/2 (* N N)))
(/ -1/2 (* N N))
-1/2
(+ (/ 1 N) (/ 11/12 (* N (* N N))))
(/ 1 N)
(/ 11/12 (* N (* N N)))
11/12
(* N (* N N))
(log (/ 1 (* N (+ 1 N))))
(/ 1 (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)

Outputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) N)
1
#s(literal 1 binary64)
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(/.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)))
N
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) 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))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 1/4 N) -1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+ (/ 1/4 N) -1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(/ (+ (/ -1/2 N) 1) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(+ (/ -1/2 N) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
-1/2
#s(literal -1/2 binary64)
N
1
#s(literal 1 binary64)
(/ (* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N)) (- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)))) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N)))
(* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)))) N)
(- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) 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)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N))))
1
#s(literal 1 binary64)
(/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 1/4 N) -1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+ (/ 1/4 N) -1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
N
-1/3
#s(literal -1/3 binary64)
(/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))
(/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N))
(- (log (* (+ (* N N) -1) (/ 1 N))) (log (+ N -1)))
(-.f64 (log.f64 (+.f64 N (/.f64 #s(literal -1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(log (* (+ (* N N) -1) (/ 1 N)))
(log.f64 (+.f64 N (/.f64 #s(literal -1 binary64) N)))
(* (+ (* N N) -1) (/ 1 N))
(+.f64 N (/.f64 #s(literal -1 binary64) N))
(+ (* N N) -1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* N N)
(*.f64 N N)
N
-1
#s(literal -1 binary64)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(log (+ N -1))
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+ N -1)
(+.f64 N #s(literal -1 binary64))
(/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (.f64 (/.f64 (log.f64 N) N) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -11/12 binary64) (.f64 N (.f64 N N))))) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) N)))
(/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (.f64 (/.f64 (log.f64 N) N) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -11/12 binary64) (.f64 N (*.f64 N N))))) N)
(- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (.f64 (/.f64 (log.f64 N) N) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -11/12 binary64) (.f64 N (*.f64 N N)))))
(+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) (*.f64 (/.f64 (log.f64 N) N) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64))))))
(+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64)) (/.f64 (log.f64 N) N)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (*.f64 #s(literal -2 binary64) (log.f64 N))))
(+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N)))
(*.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) N) #s(literal 1 binary64)) (/.f64 (log.f64 N) N))
(/ (log N) N)
(/.f64 (log.f64 N) N)
(log N)
(log.f64 N)
N
(* (neg (/ (log N) N)) (/ 2/3 N))
(/.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -2/3 binary64)) N) N)
(neg (/ (log N) N))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 N) N))
(/ 2/3 N)
(/.f64 #s(literal 2/3 binary64) N)
2/3
#s(literal 2/3 binary64)
(+ (/ 1 (* N N)) (neg (* (log N) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 #s(literal -2 binary64) (log.f64 N)))
(/ 1 (* N N))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
1
#s(literal 1 binary64)
(* N N)
(*.f64 N N)
(neg (* (log N) 2))
(*.f64 #s(literal -2 binary64) (log.f64 N))
(* (log N) 2)
(*.f64 #s(literal 2 binary64) (log.f64 N))
2
#s(literal 2 binary64)
(* (neg (/ (log N) N)) (/ -1/2 (* N N)))
(/.f64 (.f64 (/.f64 (log.f64 N) N) #s(literal 1/2 binary64)) (.f64 N N))
(/ -1/2 (* N N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
-1/2
#s(literal -1/2 binary64)
(+ (/ 1 N) (/ 11/12 (* N (* N N))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 11/12 (* N (* N N)))
(/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N)))
11/12
#s(literal 11/12 binary64)
(* N (* N N))
(.f64 N (.f64 N N))
(log (/ 1 (* N (+ 1 N))))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (* N (+ 1 N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)

localize459.0ms (3.6%)

Memory

-0.9MiB live, 518.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.4%	(*.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) N)
✓	accuracy	99.3%	(.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
✓	accuracy	100.0%	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	accuracy	100.0%	(log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.5%	(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
✓	accuracy	25.7%	(-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.7%	(/.f64 (*.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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.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)))
✓	accuracy	99.5%	(/.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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) N)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.9%	(/.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)))
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

295.0ms	213×	1	valid
18.0ms	43×	0	valid

Compiler

Compiled 710 to 60 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-add: 82.0ms (32.9% of total)

ival-div: 52.0ms (20.9% of total)

ival-log: 36.0ms (14.4% of total)

ival-sub: 27.0ms (10.8% of total)

ival-mult: 20.0ms (8% of total)

adjust: 14.0ms (5.6% of total)

const: 13.0ms (5.2% of total)

ival-neg: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

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

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

series29.0ms (0.2%)

Memory

-9.8MiB live, 28.1MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))>
#<alt (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))>
#<alt (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))>
#<alt (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)>
#<alt (/ (+ (/ -1/2 N) 1) N)>
#<alt (+ (/ -1/2 N) 1)>
#<alt (/ -1/2 N)>
#<alt (* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N))>
#<alt (/ (* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N)) (- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))>
#<alt (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))))>
#<alt (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))>
#<alt (* (+ (* N N) -1) (/ 1 N))>
#<alt (- (log (* (+ (* N N) -1) (/ 1 N))) (log (+ N -1)))>
#<alt (log (* (+ (* N N) -1) (/ 1 N)))>
#<alt (+ (* N N) -1)>
#<alt (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N))))>
#<alt (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N)))>
#<alt (* (neg (/ (log N) N)) (/ 2/3 N))>
#<alt (* (neg (/ (log N) N)) (/ -1/2 (* N N)))>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (/ 2/3 N)>
#<alt (/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))>

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/16 (pow N 7))>
#<alt (/ (- (* 1/6 N) 1/16) (pow N 7))>
#<alt (/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 7))>
#<alt (/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 7))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/4 (/ 1 (pow N 2)))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) 1) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) N))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/16 (pow N 6))>
#<alt (/ (- (* 1/6 N) 1/16) (pow N 6))>
#<alt (/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 6))>
#<alt (/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 6))>
#<alt 1>
#<alt (- 1 (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))))>
#<alt 1>
#<alt (- 1 (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (* -1 (/ (- (* 13/36 (/ 1 N)) 1/3) (pow N 3)))) (* 1/4 (/ 1 (pow N 2))))>
#<alt (/ 1/16 (pow N 6))>
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (/ -1 N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt N>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (+ (log -1) (* -1 (log N)))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))>
#<alt -1>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* 1/2 (/ (log N) (pow N 3)))>
#<alt (/ (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N))))) (pow N 3))>
#<alt (/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (log N)))))) (pow N 3))>
#<alt (/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (+ (log N) (* -2 (* N (log N))))))))) (pow N 3))>
#<alt (* 2 (log (/ 1 N)))>
#<alt (- (* -1 (/ (log (/ 1 N)) N)) (* -2 (log (/ 1 N))))>
#<alt (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (/ 1 (pow N 2)))) (* -2 (log (/ 1 N))))>
#<alt (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (/ 1 (pow N 2))))) (* -2 (log (/ 1 N))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (- (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (- (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (- (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)))) N))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (* -2/3 (/ (log N) (pow N 2)))>
#<alt (/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))>
#<alt (/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))>
#<alt (/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))>
#<alt (* -1 (/ (log (/ 1 N)) N))>
#<alt (/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)>
#<alt (/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)>
#<alt (/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)>
#<alt (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))>
#<alt (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))>
#<alt (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))>
#<alt (* -2/3 (/ (log N) (pow N 2)))>
#<alt (* -2/3 (/ (log N) (pow N 2)))>
#<alt (* -2/3 (/ (log N) (pow N 2)))>
#<alt (* -2/3 (/ (log N) (pow N 2)))>
#<alt (* 2/3 (/ (log (/ 1 N)) (pow N 2)))>
#<alt (* 2/3 (/ (log (/ 1 N)) (pow N 2)))>
#<alt (* 2/3 (/ (log (/ 1 N)) (pow N 2)))>
#<alt (* 2/3 (/ (log (/ 1 N)) (pow N 2)))>
#<alt (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))>
#<alt (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))>
#<alt (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))>
#<alt (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))>
#<alt (* 1/2 (/ (log N) (pow N 3)))>
#<alt (* 1/2 (/ (log N) (pow N 3)))>
#<alt (* 1/2 (/ (log N) (pow N 3)))>
#<alt (* 1/2 (/ (log N) (pow N 3)))>
#<alt (* -1/2 (/ (log (/ 1 N)) (pow N 3)))>
#<alt (* -1/2 (/ (log (/ 1 N)) (pow N 3)))>
#<alt (* -1/2 (/ (log (/ 1 N)) (pow N 3)))>
#<alt (* -1/2 (/ (log (/ 1 N)) (pow N 3)))>
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))>
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))>
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))>
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (/ 2/3 N)>
#<alt (* -1 (/ (- (* 1/2 (log N)) 11/12) (* (pow N 4) (log N))))>
#<alt (/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))>
#<alt (/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (log N) 1) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3)))) (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 2))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2))))))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))>
#<alt (/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (log N) 1) (log N))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))) (* N (- (+ 2 (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 3))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))))) (+ (* -1 (/ (- (log N) 1) (pow (log N) 2))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 4))) (+ (* -1/2 (/ (- (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))) (log N))) (* -1/3 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))))))) (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 2))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2))))))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (- (+ -1 (+ (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ (log -1) (log (/ -1 N))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* 1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (/ (log -1) (log (/ -1 N))))) N))>

Calls

69 calls:

Time	Variable		Point	Expression
7.0ms	N	@	0	(/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))
3.0ms	N	@	0	(- (log (* (+ (* N N) -1) (/ 1 N))) (log (+ N -1)))
2.0ms	N	@	-inf	(/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))
1.0ms	N	@	-inf	(+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N))))
1.0ms	N	@	0	(* (neg (/ (log N) N)) (/ -1/2 (* N N)))

rewrite434.0ms (3.4%)

Memory

-1.7MiB live, 681.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 422×	`-lowering-.f32`
4 422×	`-lowering-.f64`
3 888×	`accelerator-lowering-fma.f32`
3 888×	`accelerator-lowering-fma.f64`
2 874×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	338
1	448	285
2	5116	285
0	8130	276

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 858

Calls

Call 1

Inputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/ (+ (/ -1/2 N) 1) N)
(+ (/ -1/2 N) 1)
(/ -1/2 N)
(* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N))
(/ (* (- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))) (/ 1 N)) (- 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(- 1 (/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))))
(/ (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/ N (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))))
(* (+ (* N N) -1) (/ 1 N))
(- (log (* (+ (* N N) -1) (/ 1 N))) (log (+ N -1)))
(log (* (+ (* N N) -1) (/ 1 N)))
(+ (* N N) -1)
(+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N))))
(+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N)))
(* (neg (/ (log N) N)) (/ 2/3 N))
(* (neg (/ (log N) N)) (/ -1/2 (* N N)))
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 2/3 N)
(/ (/ (- (+ (+ (+ (/ (log N) N) (* (neg (/ (log N) N)) (/ 2/3 N))) (+ (/ 1 (* N N)) (neg (* (log N) 2)))) (* (neg (/ (log N) N)) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ 11/12 (* N (* N N))))) N) (log (/ 1 (* N (+ 1 N)))))

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

simplify404.0ms (3.2%)

Memory

26.8MiB live, 504.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 140×	`accelerator-lowering-fma.f32`
6 140×	`accelerator-lowering-fma.f64`
3 854×	`-lowering-.f32`
3 854×	`-lowering-.f64`
3 332×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	3665
1	1677	3357
2	5264	3255
0	8328	3125

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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))
(* -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))
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))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/4 (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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (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 (* -1/2 N))) 1/4) (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)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/16 (pow N 7))
(/ (- (* 1/6 N) 1/16) (pow N 7))
(/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 7))
(/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 7))
(/ 1 N)
(/ (- 1 (* 1/4 (/ 1 (pow N 2)))) N)
(/ (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) N)
(/ (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) 1) N))
(* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) N))
(* -1 (/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) 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 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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))
(/ -1/16 (pow N 6))
(/ (- (* 1/6 N) 1/16) (pow N 6))
(/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 6))
(/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 6))
1
(- 1 (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))))
1
(- 1 (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (* -1 (/ (- (* 13/36 (/ 1 N)) 1/3) (pow N 3)))) (* 1/4 (/ 1 (pow N 2))))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(/ -1 N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
N
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
N
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (log 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 (* 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 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))
(+ (log -1) (* -1 (log N)))
(+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))
(* -1 (log (/ 1 N)))
(- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))
(+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))
(- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))
-1
(- (pow N 2) 1)
(- (pow N 2) 1)
(- (pow N 2) 1)
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* 1/2 (/ (log N) (pow N 3)))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N))))) (pow N 3))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (log N)))))) (pow N 3))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (+ (log N) (* -2 (* N (log N))))))))) (pow N 3))
(* 2 (log (/ 1 N)))
(- (* -1 (/ (log (/ 1 N)) N)) (* -2 (log (/ 1 N))))
(- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (/ 1 (pow N 2)))) (* -2 (log (/ 1 N))))
(- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (/ 1 (pow N 2))))) (* -2 (log (/ 1 N))))
(* -2 (+ (log -1) (* -1 (log (/ -1 N)))))
(- (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(- (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(- (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)))) N))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(* -2/3 (/ (log N) (pow N 2)))
(/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))
(/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))
(/ (+ (* -2/3 (log N)) (* N (log N))) (pow N 2))
(* -1 (/ (log (/ 1 N)) N))
(/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)
(/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)
(/ (+ (* -1 (log (/ 1 N))) (* 2/3 (/ (log (/ 1 N)) N))) N)
(/ (+ (log -1) (* -1 (log (/ -1 N)))) N)
(* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))
(* -2/3 (/ (log N) (pow N 2)))
(* -2/3 (/ (log N) (pow N 2)))
(* -2/3 (/ (log N) (pow N 2)))
(* -2/3 (/ (log N) (pow N 2)))
(* 2/3 (/ (log (/ 1 N)) (pow N 2)))
(* 2/3 (/ (log (/ 1 N)) (pow N 2)))
(* 2/3 (/ (log (/ 1 N)) (pow N 2)))
(* 2/3 (/ (log (/ 1 N)) (pow N 2)))
(* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* 1/2 (/ (log N) (pow N 3)))
(* 1/2 (/ (log N) (pow N 3)))
(* 1/2 (/ (log N) (pow N 3)))
(* 1/2 (/ (log N) (pow N 3)))
(* -1/2 (/ (log (/ 1 N)) (pow N 3)))
(* -1/2 (/ (log (/ 1 N)) (pow N 3)))
(* -1/2 (/ (log (/ 1 N)) (pow N 3)))
(* -1/2 (/ (log (/ 1 N)) (pow N 3)))
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(/ 2/3 N)
(* -1 (/ (- (* 1/2 (log N)) 11/12) (* (pow N 4) (log N))))
(/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))
(/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (log N) 1) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3)))) (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 2))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2))))))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))
(/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (log N) 1) (log N))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))) (* N (- (+ 2 (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 3))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))))) (+ (* -1 (/ (- (log N) 1) (pow (log N) 2))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 4))) (+ (* -1/2 (/ (- (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))) (log N))) (* -1/3 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))))))) (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 2))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2))))))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))
(/ 1 N)
(/ (+ 1 (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (- (+ -1 (+ (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ (log -1) (log (/ -1 N))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (/ (log -1) (log (/ -1 N))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* 1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (/ (log -1) (log (/ -1 N))))) N))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N (*.f64 N N)) N))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N #s(literal 1/3 binary64))) (.f64 (.f64 N (.f64 N N)) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64))))) (.f64 (.f64 N (*.f64 N N)) N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (.f64 (.f64 N (*.f64 N 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
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(/ (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (log N))) (* N (- (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* N (- (+ (* -1 (/ (- (log N) 1) (log N))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))) (* N (- (+ 2 (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 3))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 3))))) (+ (* -1 (/ (- (log N) 1) (pow (log N) 2))) (+ (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 4))) (+ (* -1/2 (/ (- (* -1 (/ (+ 1 (* -2/3 (log N))) (log N))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))) (log N))) (* -1/3 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))))))) (+ (* -1 (/ (+ 1 (* -2/3 (log N))) (pow (log N) 2))) (* 1/2 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2))))))) (* -1 (/ (- (* 1/2 (log N)) 11/12) (pow (log N) 2)))))) (pow N 4))
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(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
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(/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
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(/ (- (+ 1 (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
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(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))
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(* -1 (/ (- (+ -1 (+ (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ (log -1) (log (/ -1 N))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))
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(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (/ (log -1) (log (/ -1 N))))) N))
(/.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 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))))) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* 1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (log (/ -1 N)))))) (+ (* -1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (/ (log -1) (log (/ -1 N))))) N))
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eval277.0ms (2.2%)

Memory: -3.9MiB live, 423.7MiB allocated
Compiler: Compiled 63 358 to 4 986 computations (92.1% saved)

prune169.0ms (1.3%)

Memory

-12.3MiB live, 342.5MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 464	7	1 471
Fresh	14	26	40
Picked	3	2	5
Done	0	4	4
Total	1 481	39	1 520

Accuracy

99.8%

Counts

1 520 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	27.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	28.0%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (-.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	27.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	26.7%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	82.8%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	95.5%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	93.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	28.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	91.1%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	26.7%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
	25.6%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	95.2%	(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (.f64 (.f64 N (*.f64 N N)) N))
▶	29.8%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.8%	(/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.8%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	95.6%	(/.f64 #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))))
	28.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
▶	91.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
▶	96.1%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
	94.6%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
✓	82.9%	(/.f64 #s(literal 1 binary64) N)
	25.8%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
✓	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.7%	(-.f64 (log.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
	95.5%	(+.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 N)) (/.f64 #s(literal 1 binary64) N))
	25.8%	(.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	29.8%	(.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.7%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	94.0%	(neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
	29.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.7%	(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
	29.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	30.2%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
▶	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	91.2%	(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))

Compiler

Compiled 2 116 to 979 computations (53.7% saved)

simplify233.0ms (1.8%)

Memory

18.0MiB live, 304.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	128	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	6464	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	128	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	cost-diff	128	(.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	13568	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	cost-diff	128	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	cost-diff	0	(+.f64 N #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
✓	cost-diff	384	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))

Rules

4 490×	`accelerator-lowering-fma.f32`
4 490×	`accelerator-lowering-fma.f64`
2 072×	`--lowering--.f32`
2 072×	`--lowering--.f64`
1 972×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	403
1	98	391
2	196	389
3	532	389
4	1741	381
5	4468	380
6	6749	380
0	8031	325

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N)))
1
(* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N))
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
-1
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
1/2
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
1/12
(/ -1/24 N)
-1/24
N
(- 0 N)
0
(/ 1 (+ N 1/2))
1
(+ N 1/2)
N
1/2
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(+ 1 N)
1
N
(* (log (* N (+ 1 N))) (* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N))))))
(log (* N (+ 1 N)))
(* N (+ 1 N))
N
(+ 1 N)
1
(* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N)))))
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(/ 1 (log (* N (+ 1 N))))
(/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))
(* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))
(/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))))
(+ (pow (log N) 3) (pow (log (+ 1 N)) 3))
(pow (log N) 3)
(log N)
N
3
(pow (log (+ 1 N)) 3)
(log (+ 1 N))
(+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))
(pow (log N) 2)
2
(- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))
(pow (log (+ 1 N)) 2)
(* (log N) (log (+ 1 N)))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ 1 N)
1
(log (/ 1 (* N (+ 1 N))))
(/ 1 (* N (+ 1 N)))
(* N (+ 1 N))

Outputs
(/ 1 (* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 N (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))
1
#s(literal 1 binary64)
(* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N))
(+.f64 #s(literal 1/2 binary64) (-.f64 N (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))
-1
#s(literal -1 binary64)
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/12 (/ -1/24 N)) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(+ 1/12 (/ -1/24 N))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
-1/24
#s(literal -1/24 binary64)
N
(- 0 N)
(-.f64 #s(literal 0 binary64) N)
0
#s(literal 0 binary64)
(/ 1 (+ N 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) N))
1
#s(literal 1 binary64)
(+ N 1/2)
(+.f64 #s(literal 1/2 binary64) N)
N
1/2
#s(literal 1/2 binary64)
(log (/ (+ 1 N) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ (+ 1 N) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(* (log (* N (+ 1 N))) (* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log (* N (+ 1 N)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N)))))
(/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) N)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(log (/ (+ 1 N) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ (+ 1 N) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/ 1 (log (* N (+ 1 N))))
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(+ (pow (log N) 3) (pow (log (+ 1 N)) 3))
(+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(log N)
(log.f64 N)
N
3
#s(literal 3 binary64)
(pow (log (+ 1 N)) 3)
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(log (+ 1 N))
(log1p.f64 N)
(+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))
(*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(* (log N) (log (+ 1 N)))
(*.f64 (log.f64 N) (log1p.f64 N))
(log (/ N (+ 1 N)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ N (+ 1 N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(log (/ 1 (* N (+ 1 N))))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (* N (+ 1 N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ 1 N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))

localize258.0ms (2%)

Memory

24.6MiB live, 374.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	98.9%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	29.8%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	25.9%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.5%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.3%	(.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
✓	accuracy	99.8%	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
✓	accuracy	99.4%	(/.f64 #s(literal -1/24 binary64) N)

Samples

157.0ms	191×	1	valid
26.0ms	65×	0	valid

Compiler

Compiled 390 to 47 computations (87.9% saved)

Precisions

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

ival-log: 35.0ms (24.4% of total)

ival-div: 30.0ms (20.9% of total)

ival-mult: 16.0ms (11.2% of total)

adjust: 11.0ms (7.7% of total)

const: 10.0ms (7% of total)

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

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

ival-pow2: 8.0ms (5.6% of total)

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

ival-log1p: 6.0ms (4.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series65.0ms (0.5%)

Memory

-32.4MiB live, 82.7MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N))>
#<alt (/ 1 (* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N)))>
#<alt (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))>
#<alt (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)>
#<alt (/ 1 (+ N 1/2))>
#<alt (+ N 1/2)>
#<alt (log (/ (+ 1 N) N))>
#<alt (/ (+ 1 N) N)>
#<alt (+ 1 N)>
#<alt (* (log (* N (+ 1 N))) (* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N))))))>
#<alt (* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N)))))>
#<alt (log (* N (+ 1 N)))>
#<alt (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))>
#<alt (/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))>
#<alt (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))>
#<alt (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))))>
#<alt (/ -1/24 N)>
#<alt (/ (+ 1/12 (/ -1/24 N)) N)>
#<alt (+ 1/12 (/ -1/24 N))>
#<alt (/ 1 (log (* N (+ 1 N))))>
#<alt (log (/ N (+ 1 N)))>
#<alt (pow (log N) 3)>
#<alt (pow (log (+ 1 N)) 3)>

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt -1>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)>
#<alt (/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ 1 (log (/ -1 N)))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/6 (/ 1 (log (/ -1 N))))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt (* -1 (* N (log N)))>
#<alt (* N (- (* N (- 1 (* -1/2 (log N)))) (log N)))>
#<alt (* N (- (* N (- (+ 1 (* -1 (* N (+ 1 (* 1/3 (log N)))))) (* -1/2 (log N)))) (log N)))>
#<alt (* N (- (* N (- (+ 1 (* N (- (* N (- 11/12 (* -1/4 (log N)))) (+ 1 (* 1/3 (log N)))))) (* -1/2 (log N)))) (log N)))>
#<alt (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) N)>
#<alt (/ (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) (+ (* -1 (log (/ 1 N))) (* 1/2 (/ (log (/ 1 N)) N)))) N)>
#<alt (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (+ (* -1 (log (/ 1 N))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) N)) (/ 1 (pow N 2)))))) N)>
#<alt (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (+ (* -1 (log (/ 1 N))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) N)) (/ 1 (pow N 2))))))) N)>
#<alt (* -1 (/ (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
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N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (/ (* (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (* (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (/ (* (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (* 2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ 1/12 N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ 1/12 N)>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (/ -1/24 N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (/ 1 (log N))>
#<alt (+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -1/2 (log (/ 1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))>
#<alt (- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))>
#<alt (- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))>
#<alt (/ -1/2 (log (/ -1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow N 3)>
#<alt (* (pow N 3) (+ 1 (* -3/2 N)))>
#<alt (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))>
#<alt (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (+ (* -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))>
#<alt (+ (* -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))>
#<alt (+ (* -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

69 calls:

Time	Variable		Point	Expression
7.0ms	N	@	-inf	(/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))
7.0ms	N	@	-inf	(/ 1 (log (* N (+ 1 N))))
7.0ms	N	@	-inf	(* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))
5.0ms	N	@	inf	(/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))
4.0ms	N	@	inf	(* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))

rewrite356.0ms (2.8%)

Memory

31.4MiB live, 552.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 226×	`/-lowering-/.f32`
4 226×	`/-lowering-/.f64`
4 146×	`-lowering-.f32`
4 146×	`-lowering-.f64`
2 488×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	208
1	293	180
2	2406	180
0	8588	164

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 981

Calls

Call 1

Inputs
(* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N))
(/ 1 (* (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)) (- 0 N)))
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)
(/ 1 (+ N 1/2))
(+ N 1/2)
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(+ 1 N)
(* (log (* N (+ 1 N))) (* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N))))))
(* (log (/ (+ 1 N) N)) (/ 1 (log (* N (+ 1 N)))))
(log (* N (+ 1 N)))
(- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))
(/ (* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N)))) (log (/ 1 (* N (+ 1 N)))))
(* (/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N)))))) (log (/ N (+ 1 N))))
(/ (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)) (+ (pow (log N) 2) (- (pow (log (+ 1 N)) 2) (* (log N) (log (+ 1 N))))))
(/ -1/24 N)
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
(/ 1 (log (* N (+ 1 N))))
(log (/ N (+ 1 N)))
(pow (log N) 3)
(pow (log (+ 1 N)) 3)

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

simplify492.0ms (3.8%)

Memory

10.7MiB live, 803.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 430×	`accelerator-lowering-fma.f32`
6 430×	`accelerator-lowering-fma.f64`
5 496×	`-lowering-.f32`
5 496×	`-lowering-.f64`
4 558×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1250	14435
1	4257	13061
0	8699	12704

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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))
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))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 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)
(/ 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))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(/ 1/24 (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
2
(+ 2 (* -4 N))
(+ 2 (* N (- (* 8 N) 4)))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
1/2
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (log 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 (* 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 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))
(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log 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 (* 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 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))
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)
(/ -1/2 (* N (log (/ -1 N))))
(* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ 1 (log (/ -1 N)))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/6 (/ 1 (log (/ -1 N))))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -2 (log (/ -1 N)))
(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
(* -1 (* N (log N)))
(* N (- (* N (- 1 (* -1/2 (log N)))) (log N)))
(* N (- (* N (- (+ 1 (* -1 (* N (+ 1 (* 1/3 (log N)))))) (* -1/2 (log N)))) (log N)))
(* N (- (* N (- (+ 1 (* N (- (* N (- 11/12 (* -1/4 (log N)))) (+ 1 (* 1/3 (log N)))))) (* -1/2 (log N)))) (log N)))
(/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) (+ (* -1 (log (/ 1 N))) (* 1/2 (/ (log (/ 1 N)) N)))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (+ (* -1 (log (/ 1 N))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) N)) (/ 1 (pow N 2)))))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (+ (* -1 (log (/ 1 N))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) N)) (/ 1 (pow N 2))))))) N)
(* -1 (/ (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 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)))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* -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))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ 1 (+ (* -1 (/ (+ (* -1 (pow (log N) 2)) (pow (log N) 2)) (pow (log N) 3))) (+ (* -1 (/ (- 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* -1 (/ (+ (log N) (* -1/3 (pow (log N) 3))) (pow (log N) 3))) (+ (* -1 (/ (+ (log N) (+ (* -1 (* (log N) (- 1 (* -1/2 (log N))))) (* 1/2 (pow (log N) 2)))) (pow (log N) 3))) (+ (* -1 (/ (- 1 (* -1/2 (log N))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (log N))) (/ (* (+ 1 (+ (* -1 (/ (+ (* -1 (pow (log N) 2)) (pow (log N) 2)) (pow (log N) 3))) (+ (* -1 (/ (- 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))) (+ (* -1 (pow (log N) 2)) (pow (log N) 2))) (pow (log N) 3))))))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow (log N) 2)) (pow (log N) 2)) (pow (log N) 3))) (+ (* -1 (/ (- 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
(/ (pow (log (/ 1 N)) 2) (* N (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(/ (- (+ (* 1/2 (/ (+ (* -1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* -1 (pow (log (/ 1 N)) 3))) (* N (* (log (/ 1 N)) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (/ (pow (log (/ 1 N)) 2) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 1/2 (/ (* (log (/ 1 N)) (+ (* -1 (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2 (* (log (/ 1 N)) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))) (* N (pow (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) N)
(/ (- (+ (* 1/2 (/ (+ (* -1 (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2/3 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (* (log (/ 1 N)) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 1/2 (/ (+ (* -1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* -1 (pow (log (/ 1 N)) 3))) (* N (* (log (/ 1 N)) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (/ (pow (log (/ 1 N)) 2) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (* (log (/ 1 N)) (+ (* -1 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 1/2 (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2 (* (log (/ 1 N)) (- (+ 1 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))))))) (* (pow N 2) (pow (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (* (log (/ 1 N)) (+ (* -1 (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2 (* (log (/ 1 N)) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))) (* N (pow (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2 (* (log (/ 1 N)) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (- (* 1/2 (/ (+ (* -1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* -1 (pow (log (/ 1 N)) 3))) (* (log (/ 1 N)) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 1/2 (/ (* (log (/ 1 N)) (+ (* -1 (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* 2 (* (log (/ 1 N)) (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))) (pow (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (* (pow N 2) (* (log (/ 1 N)) (- (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))) N)
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(/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (/ (* (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* 2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (* 2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (- (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/24 N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(/ 1 (log N))
(+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -1/2 (log (/ 1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))
(- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))
(- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))
(/ -1/2 (log (/ -1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 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))))
(* -1 (pow (log (/ 1 N)) 3))
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(+ (* -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 (+.f64 #s(literal 1/24 binary64) (.f64 N #s(literal -1/12 binary64))) (.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* 24 (pow N 2))
(.f64 (.f64 N N) #s(literal 24 binary64))
(* (pow N 2) (+ 24 (* 48 N)))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (*.f64 N #s(literal 48 binary64))))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (.f64 N (+.f64 #s(literal 48 binary64) (.f64 N #s(literal -192 binary64))))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (.f64 N (+.f64 #s(literal 48 binary64) (.f64 N (+.f64 (*.f64 N #s(literal -1536 binary64)) #s(literal -192 binary64)))))))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) 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)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/24 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (.f64 N N)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
(-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
(/ 1/24 (pow N 3))
(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N #s(literal -1/12 binary64))) (.f64 N (*.f64 N N)))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (.f64 N (.f64 N N)))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (.f64 N (.f64 N N)))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (- 1/2 (* 1/12 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N))
2
#s(literal 2 binary64)
(+ 2 (* -4 N))
(+.f64 #s(literal 2 binary64) (*.f64 N #s(literal -4 binary64)))
(+ 2 (* N (- (* 8 N) 4)))
(+.f64 #s(literal 2 binary64) (.f64 N (+.f64 (.f64 N #s(literal 8 binary64)) #s(literal -4 binary64))))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(+.f64 #s(literal 2 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 8 binary64) (*.f64 N #s(literal -16 binary64)))) #s(literal -4 binary64))))
(/ 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 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
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(+.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 N N)) (+.f64 (/.f64 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(+.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (.f64 N N)) (/.f64 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (.f64 N (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N (.f64 N N)))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(+ (* -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))
(-.f64 (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)) N))
(+ (* -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))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (.f64 #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))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (.f64 #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))) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))))) N)) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))

eval244.0ms (1.9%)

Memory: 16.6MiB live, 521.0MiB allocated
Compiler: Compiled 61 960 to 5 372 computations (91.3% saved)

prune277.0ms (2.2%)

Memory

-13.8MiB live, 592.3MiB allocated

Pruning

61 alts after pruning (53 fresh and 8 done)

	Pruned	Kept	Total
New	1 656	36	1 692
Fresh	11	17	28
Picked	2	3	5
Done	1	5	6
Total	1 670	61	1 731

Accuracy

99.8%

Counts

1 731 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	27.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	26.7%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
	29.8%	(/.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
	25.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	93.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	28.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	91.9%	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
✓	91.1%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	26.7%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))
✓	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	29.8%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.8%	(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.8%	(/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.8%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.8%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))))) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
	91.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (+.f64 (*.f64 N N) #s(literal -1/4 binary64)))))
	28.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	91.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	95.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))) (-.f64 #s(literal 0 binary64) N)))
	94.6%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
	91.8%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
	96.1%	(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))
✓	82.9%	(/.f64 #s(literal 1 binary64) N)
	25.8%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
✓	25.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.7%	(-.f64 (log.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
	25.8%	(.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	95.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
	95.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
	95.9%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
	91.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
	28.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	28.9%	(.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	28.9%	(.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	28.9%	(.f64 (log.f64 (.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.4%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	24.6%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))))
	23.7%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))))
	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))))))
	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))))))
✓	28.9%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.6%	(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (.f64 (/.f64 (+.f64 (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))
	96.0%	(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
	94.0%	(neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
	29.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	29.7%	(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
	29.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	30.2%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
✓	28.9%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	28.0%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	91.7%	(exp.f64 (.f64 (log.f64 (neg.f64 (.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))) #s(literal -1 binary64)))
	10.0%	#s(literal 2 binary64)

Compiler

Compiled 4 979 to 1 439 computations (71.1% saved)

regimes73.0ms (0.6%)

Memory

-39.3MiB live, 151.7MiB allocated

Counts

101 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))

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

Calls

2 calls:

27.0ms	N
23.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes53.0ms (0.4%)

Memory

14.6MiB live, 129.7MiB allocated

Counts

86 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (+.f64 (*.f64 N N) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (.f64 (.f64 N (*.f64 N N)) N))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(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 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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.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 (-.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 #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) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))) (-.f64 #s(literal 0 binary64) N)))
(/.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)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))) (*.f64 N (+.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)) (/.f64 N (-.f64 #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 binary64) (/.f64 (+.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)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))))) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))))
(/.f64 (/.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)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.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 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) N)
(/.f64 (/.f64 (-.f64 (.f64 #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 #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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (*.f64 (-.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) N)
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (log.f64 (.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (.f64 N N)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))))))
(/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
(.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))))))
(.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 N) N) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 2/3 binary64) N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))))
(.f64 (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))

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

Calls

2 calls:

24.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes42.0ms (0.3%)

Memory

8.9MiB live, 90.5MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))

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

Calls

2 calls:

18.0ms	N
16.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-24.5MiB live, 54.2MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes30.0ms (0.2%)

Memory

-9.7MiB live, 31.7MiB allocated

Counts

47 → 1

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes39.0ms (0.3%)

Memory

-26.7MiB live, 12.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(/.f64 #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))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

9.7MiB live, 9.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

-29.9MiB live, 7.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
93.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)

Outputs
(/.f64 #s(literal 1 binary64) N)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
82.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
10.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005081206410313399	0.0011030216378467017

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005081206410313399	0.0011030216378467017

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005081206410313399	0.0011030216378467017

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	863.9004049734139	906.1006205828726

Samples

1.0ms

16×

valid

Compiler

Compiled 66 to 37 computations (43.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

ival-log1p: 0.0ms (0% of total)

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

simplify74.0ms (0.6%)

Memory

1.7MiB live, 80.7MiB allocated

Algorithm

1×	egg-herbie

Rules

522×	`distribute-lft-neg-in_binary64`
310×	`neg-mul-1_binary64`
300×	`distribute-neg-in_binary64`
280×	`neg-sub0_binary64`
218×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	452
1	166	452
2	218	452
3	272	450
4	329	445
5	372	445
6	398	445
7	412	445
8	435	445
9	479	445
10	603	445
11	831	445
12	1168	445
13	1495	445
14	1687	445
15	1753	445
16	1770	445
17	1779	445
18	1782	445

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (/.f64 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (/.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 N #s(literal 880 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 #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 (-.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) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (/.f64 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) (/.f64 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (/.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) (/.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 880 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(if (<=.f64 N #s(literal 880 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal 1/2 binary64)) N)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 #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 (-.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) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

soundness3.1s (23.9%)

Memory

44.5MiB live, 3 814.3MiB allocated

Rules

11 456×	`accelerator-lowering-fma.f32`
11 456×	`accelerator-lowering-fma.f64`
6 430×	`accelerator-lowering-fma.f32`
6 430×	`accelerator-lowering-fma.f64`
6 140×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1250	14435
1	4257	13061
0	8699	12704
0	85	318
1	240	272
2	577	271
3	1571	265
4	4180	257
5	6291	257
6	7335	257
0	8044	248
0	6	12
1	38	12
2	270	12
3	2544	12
0	8651	9
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	5
0	562	3665
1	1677	3357
2	5264	3255
0	8328	3125
0	39	243
1	237	219
2	1943	219
0	9075	190
0	45	208
1	293	180
2	2406	180
0	8588	164

Stop Event

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

Compiler

Compiled 907 to 430 computations (52.6% saved)

preprocess146.0ms (1.1%)

Memory: -26.5MiB live, 256.8MiB allocated
Compiler: Compiled 990 to 274 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	5

Iter	Nodes	Cost
0	6	14
1	11	14
2	15	14
3	21	14
4	29	14
5	44	14
6	76	14
7	101	14
8	143	14
9	158	14
10	166	14
0	166	10

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	5

Iter	Nodes	Cost
0	6	14
1	11	14
2	15	14
3	21	14
4	29	14
5	44	14
6	76	14
7	101	14
8	143	14
9	158	14
10	166	14
0	166	10

analyze0.0ms (0%)

sample1.2s (9.1%)

preprocess29.0ms (0.2%)

explain119.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize39.0ms (0.3%)

series62.0ms (0.5%)

rewrite360.0ms (2.8%)

simplify342.0ms (2.7%)

eval39.0ms (0.3%)

prune86.0ms (0.7%)

simplify248.0ms (1.9%)

localize255.0ms (2%)

series82.0ms (0.6%)

rewrite926.0ms (7.2%)

simplify588.0ms (4.6%)

eval347.0ms (2.7%)

prune331.0ms (2.6%)

simplify490.0ms (3.8%)

localize459.0ms (3.6%)

series29.0ms (0.2%)

rewrite434.0ms (3.4%)

simplify404.0ms (3.2%)

eval277.0ms (2.2%)

prune169.0ms (1.3%)

simplify233.0ms (1.8%)

localize258.0ms (2%)

series65.0ms (0.5%)

rewrite356.0ms (2.8%)

simplify492.0ms (3.8%)

eval244.0ms (1.9%)

prune277.0ms (2.2%)

regimes73.0ms (0.6%)

regimes53.0ms (0.4%)

regimes42.0ms (0.3%)

regimes21.0ms (0.2%)

regimes30.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes39.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify74.0ms (0.6%)

soundness3.1s (23.9%)

preprocess146.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	25	24
2	51	23
3	90	23
4	145	23
5	214	23
6	268	23
7	299	23
8	342	23
9	357	23
10	365	23
0	6	7
1	11	7
2	15	7
3	21	7
4	29	7
5	44	7
6	76	7
7	101	7
8	143	7
9	158	7
10	166	7
0	166	5

Iter	Nodes	Cost
0	6	14
1	11	14
2	15	14
3	21	14
4	29	14
5	44	14
6	76	14
7	101	14
8	143	14
9	158	14
10	166	14
0	166	10