Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.3s (10.6%)

Memory

-11.6MiB live, 1 630.5MiB allocated

Samples

964.0ms	7 140×	1	valid
56.0ms	1 116×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 815.0ms

ival-log1p: 308.0ms (37.8% of total)

ival-log: 238.0ms (29.2% of total)

adjust: 105.0ms (12.9% of total)

ival-sub: 80.0ms (9.8% of total)

ival->: 41.0ms (5% of total)

ival-<: 19.0ms (2.3% of total)

ival-and: 12.0ms (1.5% of total)

exact: 10.0ms (1.2% of total)

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

Bogosity

preprocess22.0ms (0.2%)

Memory

31.7MiB live, 31.7MiB 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)))

explain145.0ms (1.2%)

Memory

-19.0MiB live, 183.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
250	-	2	(10.29014351592377)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	248	2

Confusion

	Predicted +	Predicted -
+	248	2
-	0	6

Precision

1.0

Recall

0.992

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	248	1	1
-	0	1	5

Precision?

0.996

Recall?

0.996

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	456×	1	valid
3.0ms	56×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 16.0ms (35.2% of total)

ival-log1p: 15.0ms (33% of total)

adjust: 7.0ms (15.4% of total)

ival-sub: 4.0ms (8.8% of total)

ival-add: 2.0ms (4.4% 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
▶	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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)

localize53.0ms (0.4%)

Memory

-11.4MiB live, 64.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))

Samples

44.0ms	228×	1	valid
1.0ms	28×	0	valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-log1p: 26.0ms (68% of total)

ival-log: 7.0ms (18.3% of total)

adjust: 2.0ms (5.2% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

series112.0ms (1%)

Memory

24.4MiB live, 62.0MiB 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
87.0ms	N	@	0	(log N)
18.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ 1 N)) (log N))
0.0ms	N	@	inf	(- (log (+ 1 N)) (log N))

rewrite343.0ms (2.9%)

Memory

3.4MiB live, 521.7MiB 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))

simplify388.0ms (3.3%)

Memory

-1.1MiB live, 479.3MiB 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)))

eval40.0ms (0.3%)

Memory: -11.6MiB live, 102.7MiB allocated
Compiler: Compiled 10 384 to 1 087 computations (89.5% saved)

prune54.0ms (0.5%)

Memory

17.6MiB live, 134.2MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	305	17	322
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	18	323

Accuracy

99.8%

Counts

323 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))))))))
▶	21.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	20.1%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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))))))
▶	20.0%	(/.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))))
	20.2%	(/.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)))))
	20.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	20.0%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 0 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)))))))
▶	97.1%	(/.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)
	96.4%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	94.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	87.5%	(/.f64 #s(literal 1 binary64) N)
	20.1%	(-.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)))))
✓	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.1%	(.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	22.5%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
▶	23.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	22.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	22.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

Compiler

Compiled 922 to 444 computations (51.8% saved)

simplify286.0ms (2.4%)

Memory

-45.0MiB live, 408.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	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 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
✓	cost-diff	6400	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	cost-diff	128	(/.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))))
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(+.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 #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

6 046×	`accelerator-lowering-fma.f32`
6 046×	`accelerator-lowering-fma.f64`
2 582×	`-lowering-.f32`
2 582×	`-lowering-.f64`
1 370×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	346
1	91	344
2	194	344
3	440	344
4	986	343
5	2246	343
6	5590	343
0	8121	305

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

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

localize295.0ms (2.5%)

Memory

13.0MiB live, 401.3MiB 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	23.2%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	22.4%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	20.7%	(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	100.0%	(/.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	23.2%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) 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	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

173.0ms	227×	1	valid
9.0ms	29×	0	valid

Compiler

Compiled 320 to 41 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-log: 34.0ms (23.9% of total)

ival-div: 33.0ms (23.2% of total)

ival-add: 12.0ms (8.4% of total)

adjust: 11.0ms (7.7% of total)

ival-pow2: 10.0ms (7% of total)

const: 10.0ms (7% of total)

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

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

ival-log1p: 7.0ms (4.9% of total)

ival-sub: 4.0ms (2.8% of total)

ival-neg: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series57.0ms (0.5%)

Memory

-9.9MiB live, 82.4MiB allocated

Counts

22 → 264

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

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

66 calls:

Time	Variable		Point	Expression
19.0ms	N	@	-inf	(+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (/ (pow (log N) 2) (log (* N (+ 1 N))))))
10.0ms	N	@	inf	(+ (* (/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ 1 N)))))) (neg (/ (pow (log N) 2) (log (* N (+ 1 N))))))
2.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3)))
2.0ms	N	@	-inf	(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ 1 N))))
2.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 2) (+ (pow (log (+ 1 N)) 3) (pow (log N) 3)))

rewrite521.0ms (4.4%)

Memory

36.6MiB live, 673.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 954×	`/-lowering-/.f32`
4 954×	`/-lowering-/.f64`
3 576×	`-lowering-.f32`
3 576×	`-lowering-.f64`
3 384×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	200
1	273	198
2	2489	198
0	8307	173

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 925

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

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

simplify595.0ms (5%)

Memory

6.4MiB live, 709.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 122×	`accelerator-lowering-fma.f32`
10 122×	`accelerator-lowering-fma.f64`
7 798×	`+-lowering-+.f64`
7 798×	`+-lowering-+.f32`
4 642×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	918	8547
1	2991	7719
0	8515	7365

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -1/2 (/ (* (+ (* -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))))))) (+ (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* 1/4 (/ (+ (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))))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* 1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (- (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -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))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) N)) (* 1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) (+ (* -1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 1/4 (/ (+ (* -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))))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) N)) (+ (* 1/4 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(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))
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))))
(/ 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)
(/ 1 N)
(/ (+ 1 (* -1 N)) N)
(/ (+ 1 (* N (- N 1))) N)
(/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))
(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
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.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))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #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 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.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 (+.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)
(/ 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))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.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)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.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)))))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.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))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N N))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
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(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (* -1 N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 (* N (- N 1))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) N)
(/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) N)
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))) (.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)) (*.f64 N N))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)) N)) (*.f64 N N))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(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))
(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))
(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))
(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))
(pow N 3)
(.f64 N (.f64 N N))
(* (pow N 3) (+ 1 (* -3/2 N)))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -3/2 binary64))))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 7/4 binary64)) #s(literal -3/2 binary64)))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 7/4 binary64) (.f64 N #s(literal -15/8 binary64)))) #s(literal -3/2 binary64)))))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.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 (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))))))
(+.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 #s(literal -1/2 binary64) (/.f64 (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 (.f64 (log.f64 N) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 N N)) (/.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))))) (+.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N)))) (+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (/.f64 (.f64 (log.f64 N) #s(literal -2 binary64)) (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 #s(literal 3 binary64) (/.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 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (+.f64 (.f64 #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 #s(literal 0 binary64) N))) 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 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (+.f64 (.f64 #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 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 (.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))))))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) (-.f64 #s(literal 0 binary64) N))) N))

eval238.0ms (2%)

Memory: 23.4MiB live, 478.7MiB allocated
Compiler: Compiled 64 496 to 4 903 computations (92.4% saved)

prune336.0ms (2.8%)

Memory

-38.5MiB live, 345.5MiB allocated

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 618	22	1 640
Fresh	4	8	12
Picked	0	5	5
Done	0	1	1
Total	1 622	36	1 658

Accuracy

99.9%

Counts

1 658 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	22.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))))))))
✓	21.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	20.7%	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	21.8%	(fma.f64 (.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	20.1%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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))))))
	87.3%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	22.2%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))
	97.0%	(/.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)
✓	20.0%	(/.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))))
	97.0%	(/.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)
	97.1%	(/.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)
	20.2%	(/.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)))))
	20.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	96.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	20.9%	(/.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))))
	96.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
▶	94.3%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	96.6%	(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
✓	97.1%	(/.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)
	97.1%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) N)
	20.2%	(/.f64 (neg.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 (+.f64 #s(literal 1 binary64) N) N)))
▶	97.1%	(/.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))))
✓	87.5%	(/.f64 #s(literal 1 binary64) N)
	20.1%	(-.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)))))
▶	97.0%	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
	97.0%	(-.f64 (/.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 (/.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 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)))))
✓	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))
	97.0%	(.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)) (.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)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) N))
	97.0%	(*.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)))
	23.1%	(.f64 (/.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	96.3%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
▶	22.5%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	23.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	22.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	22.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

Compiler

Compiled 1 831 to 934 computations (49% saved)

simplify252.0ms (2.1%)

Memory

12.7MiB live, 282.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	6400	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(*.f64 N (-.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N))))
✓	cost-diff	256	(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #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) N)
✓	cost-diff	256	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #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

5 092×	`accelerator-lowering-fma.f32`
5 092×	`accelerator-lowering-fma.f64`
1 718×	`-lowering-.f32`
1 718×	`-lowering-.f64`
1 344×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	320
1	89	320
2	158	316
3	373	316
4	772	316
5	1886	316
6	4870	304
7	7088	304
0	8091	289

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

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

localize315.0ms (2.7%)

Memory

2.8MiB live, 446.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.3%	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	20.4%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	100.0%	(*.f64 N (-.f64 #s(literal 1 binary64) N))
✓	accuracy	99.7%	(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))
✓	accuracy	23.2%	(log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N))))
✓	accuracy	99.9%	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N 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	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) 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	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

226.0ms	227×	1	valid
21.0ms	29×	0	valid

Compiler

Compiled 316 to 42 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-log: 56.0ms (29.4% of total)

ival-div: 52.0ms (27.3% of total)

ival-sub: 22.0ms (11.6% of total)

ival-mult: 13.0ms (6.8% of total)

adjust: 12.0ms (6.3% of total)

ival-add: 11.0ms (5.8% of total)

const: 7.0ms (3.7% of total)

ival-log1p: 7.0ms (3.7% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series44.0ms (0.4%)

Memory

-11.5MiB live, 25.8MiB allocated

Counts

24 → 288

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 (- (/ (/ -1/2 N) N) (/ (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1) N))>
#<alt (/ (/ -1/2 N) N)>
#<alt (/ (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1) N)>
#<alt (/ (* N (- 1 N)) (- 1 (* N N)))>
#<alt (log (/ (* N (- 1 N)) (- 1 (* N N))))>
#<alt (* N (- 1 N))>
#<alt (- 1 N)>
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (log (* N (+ 1 N))))))>
#<alt (log (+ 1 N))>
#<alt (/ (log (+ 1 N)) (log (* N (+ 1 N))))>
#<alt (log (* N (+ 1 N)))>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (/ (+ (/ 1/4 N) -1/3) (* N N))>
#<alt (- 1 (* N N))>
#<alt (pow (log N) 2)>
#<alt (/ (pow (log N) 2) (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 (* -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 (/ -1/4 (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 (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 4))>
#<alt (/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 4))>
#<alt (/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 4))>
#<alt (/ -1 N)>
#<alt (* -1 (/ (+ 1 (* 1/3 (/ 1 (pow N 2)))) N))>
#<alt (/ (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2))))) N)>
#<alt (/ (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2))))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (+ 1 (* 1/3 (/ 1 (pow N 2)))) N))>
#<alt (* -1 (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) N))>
#<alt (* -1 (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) 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 N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt (* (pow N 2) (- (/ 1 N) 1))>
#<alt 1>
#<alt (+ 1 (* -1 N))>
#<alt (+ 1 (* -1 N))>
#<alt (+ 1 (* -1 N))>
#<alt (* -1 N)>
#<alt (* N (- (/ 1 N) 1))>
#<alt (* N (- (/ 1 N) 1))>
#<alt (* N (- (/ 1 N) 1))>
#<alt (* -1 N)>
#<alt (* -1 (* N (- 1 (/ 1 N))))>
#<alt (* -1 (* N (- 1 (/ 1 N))))>
#<alt (* -1 (* N (- 1 (/ 1 N))))>
#<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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 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 (/ N (log N))>
#<alt (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))>
#<alt (- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))>
#<alt (- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))>
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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 (/ 1/4 (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 (/ 1/4 (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow N 2)))>
#<alt (+ 1 (* -1 (pow N 2)))>
#<alt (+ 1 (* -1 (pow N 2)))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (* (pow N 2) (- (/ 1 (pow N 2)) 1))>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>

Calls

72 calls:

Time	Variable		Point	Expression
21.0ms	N	@	0	(/ (pow (log N) 2) (log (* N (+ 1 N))))
6.0ms	N	@	-inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (log (* N (+ 1 N))))))
2.0ms	N	@	inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (log (* N (+ 1 N))))))
1.0ms	N	@	-inf	(/ (log (+ 1 N)) (log (* N (+ 1 N))))
1.0ms	N	@	0	(/ (log (+ 1 N)) (log (* N (+ 1 N))))

rewrite410.0ms (3.5%)

Memory

-6.3MiB live, 556.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 270×	`/-lowering-/.f32`
5 270×	`/-lowering-/.f64`
2 638×	`-lowering-.f32`
2 638×	`-lowering-.f64`
1 934×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	227
1	279	204
2	2741	204
0	8232	192

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 050

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

Outputs
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) 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 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N 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))
(+.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 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 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)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N (.f64 N N))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (.f64 N N)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))) (.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal 1 binary64) N) (+.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))))))) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))) (.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal 1 binary64) N) (+.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))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))) (.f64 (/.f64 #s(literal 1 binary64) N) (+.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))))) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) N) (+.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))))))
(-.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 #s(literal 0 binary64) (-.f64 #s(literal 0 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 0 binary64) N)))
(-.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))) N) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.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 #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 (/.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 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 binary64) (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))))) (/.f64 (.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) (.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64))))))
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(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N N)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 N N))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N))))) (/.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (.f64 N (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N)))) (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 N N)))))
(fma.f64 N (-.f64 #s(literal 0 binary64) N) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) N) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (.f64 N N)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 N N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (neg.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (log.f64 N) (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (log.f64 N) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)))

simplify434.0ms (3.7%)

Memory

28.4MiB live, 585.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 324×	`accelerator-lowering-fma.f32`
6 324×	`accelerator-lowering-fma.f64`
5 218×	`+-lowering-+.f64`
5 218×	`+-lowering-+.f32`
3 472×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	4659
1	1886	4332
2	5973	4296
0	8343	4138

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))
(* -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)
(/ -1/4 (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))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ -1/2 (pow N 2))
(/ 1/4 (pow N 4))
(/ (+ 1/4 (* -1/3 N)) (pow N 4))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 4))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 4))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/3 (/ 1 (pow N 2)))) N))
(/ (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2))))) N)
(/ (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2))))) N)
(/ -1 N)
(* -1 (/ (+ 1 (* 1/3 (/ 1 (pow N 2)))) N))
(* -1 (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) N))
(* -1 (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3))) N))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
1
(- 1 (/ 1 N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) 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))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* -1 N)))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 N) 1))
(* (pow N 2) (- (/ 1 N) 1))
(* (pow N 2) (- (/ 1 N) 1))
(* -1 (pow N 2))
(* (pow N 2) (- (/ 1 N) 1))
(* (pow N 2) (- (/ 1 N) 1))
(* (pow N 2) (- (/ 1 N) 1))
1
(+ 1 (* -1 N))
(+ 1 (* -1 N))
(+ 1 (* -1 N))
(* -1 N)
(* N (- (/ 1 N) 1))
(* N (- (/ 1 N) 1))
(* N (- (/ 1 N) 1))
(* -1 N)
(* -1 (* N (- 1 (/ 1 N))))
(* -1 (* N (- 1 (/ 1 N))))
(* -1 (* N (- 1 (/ 1 N))))
(* -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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
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N
(* N (+ 1 (* -1/2 N)))
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(- (+ (* -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))))
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(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
1/2
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (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 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 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)))
(+ (* -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)))
(/ 1/4 (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)
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(/ (+ 1/4 (* -1/3 N)) N)
-1/3
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-1/3
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(- (* 1/4 (/ 1 N)) 1/3)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
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(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
1
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(pow (log N) 2)
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(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(log N)
(+ (log N) (* -1 N))
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(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))

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

eval224.0ms (1.9%)

Memory: 3.3MiB live, 436.9MiB allocated
Compiler: Compiled 44 618 to 4 613 computations (89.7% saved)

prune190.0ms (1.6%)

Memory

9.8MiB live, 364.8MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 458	8	1 466
Fresh	10	15	25
Picked	3	2	5
Done	1	5	6
Total	1 472	30	1 502

Accuracy

99.9%

Counts

1 502 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))))))))
✓	21.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	20.7%	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	21.8%	(fma.f64 (.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	21.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))))
✓	20.1%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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))))))
	22.2%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))
	20.0%	(/.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 #s(literal 1 binary64) N))))
▶	97.1%	(/.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)
	20.2%	(/.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)))))
	20.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	96.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	20.9%	(/.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))))
	96.8%	(/.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N) N)) (*.f64 N N))
✓	97.1%	(/.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)
	20.2%	(/.f64 (neg.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 (+.f64 #s(literal 1 binary64) N) N)))
▶	94.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
▶	97.3%	(/.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)))
	96.6%	(/.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))))
✓	87.5%	(/.f64 #s(literal 1 binary64) N)
	20.1%	(-.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)))))
	97.0%	(-.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))
✓	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.1%	(.f64 (/.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	96.6%	(.f64 (-.f64 #s(literal -1/2 binary64) (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 N N)))
	96.3%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
✓	22.5%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	23.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	22.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	22.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

Compiler

Compiled 1 437 to 747 computations (48% saved)

simplify236.0ms (2%)

Memory

-27.4MiB live, 419.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 N N) (.f64 N (*.f64 N N)))
✓	cost-diff	256	(+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (*.f64 N N)))
✓	cost-diff	6272	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))))
✓	cost-diff	0	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
✓	cost-diff	13248	(/.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))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
✓	cost-diff	0	(-.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)))
✓	cost-diff	0	(/.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)
✓	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

6 760×	`accelerator-lowering-fma.f32`
6 760×	`accelerator-lowering-fma.f64`
2 318×	`-lowering-.f32`
2 318×	`-lowering-.f64`
2 004×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	472
1	133	430
2	294	419
3	802	418
4	2513	410
5	5754	410
0	8135	391

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

localize349.0ms (3%)

Memory

22.6MiB live, 764.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (*.f64 N N)))))))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))
✓	accuracy	20.4%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))))
✓	accuracy	100.0%	(/.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.2%	(/.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))))
✓	accuracy	99.2%	(pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
✓	accuracy	23.2%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.9%	(-.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)))
✓	accuracy	99.9%	(/.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)
✓	accuracy	99.8%	(+.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)) (*.f64 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

241.0ms	227×	1	valid
12.0ms	29×	0	valid

Compiler

Compiled 541 to 57 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 41.0ms (20.8% of total)

ival-log: 41.0ms (20.8% of total)

ival-sub: 21.0ms (10.7% of total)

ival-pow2: 19.0ms (9.7% of total)

ival-mult: 19.0ms (9.7% of total)

const: 16.0ms (8.1% of total)

adjust: 15.0ms (7.6% of total)

ival-add: 14.0ms (7.1% of total)

ival-log1p: 7.0ms (3.6% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series22.0ms (0.2%)

Memory

-4.3MiB live, 34.4MiB allocated

Counts

27 → 324

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 (/ (- (+ 1 (/ -1/2 N)) (/ (+ (/ 1/4 N) -1/3) (* N N))) N)>
#<alt (- (+ 1 (/ -1/2 N)) (/ (+ (/ 1/4 N) -1/3) (* N N)))>
#<alt (+ 1 (/ -1/2 N))>
#<alt (/ -1/2 N)>
#<alt (/ (- 0 (pow (log (/ N (+ 1 N))) 2)) (log (/ N (+ 1 N))))>
#<alt (- 0 (pow (log (/ N (+ 1 N))) 2))>
#<alt (pow (log (/ N (+ 1 N))) 2)>
#<alt (log (/ N (+ 1 N)))>
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))))>
#<alt (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))>
#<alt (+ (* N (* N (* N N))) (- (* N N) (* N (* N N))))>
#<alt (- (* N N) (* N (* N N)))>
#<alt (/ 1/24 N)>
#<alt (/ (- 1/12 (/ 1/24 N)) N)>
#<alt (- 1/12 (/ 1/24 N))>
#<alt (/ (+ (/ 1/4 N) -1/3) (* N N))>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (/ N (+ 1 N))>
#<alt (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N))))))>
#<alt (pow (log N) 2)>
#<alt (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))>

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

81 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))))
2.0ms	N	@	inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))))
1.0ms	N	@	0	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))))
1.0ms	N	@	-inf	(/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))
1.0ms	N	@	inf	(/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))

rewrite405.0ms (3.4%)

Memory

4.0MiB live, 603.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 556×	`/-lowering-/.f32`
4 556×	`/-lowering-/.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
3 074×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	319
1	401	287
2	3818	278
0	9222	267

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 819

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)
(/ (- (+ 1 (/ -1/2 N)) (/ (+ (/ 1/4 N) -1/3) (* N N))) N)
(- (+ 1 (/ -1/2 N)) (/ (+ (/ 1/4 N) -1/3) (* N N)))
(+ 1 (/ -1/2 N))
(/ -1/2 N)
(/ (- 0 (pow (log (/ N (+ 1 N))) 2)) (log (/ N (+ 1 N))))
(- 0 (pow (log (/ N (+ 1 N))) 2))
(pow (log (/ N (+ 1 N))) 2)
(log (/ N (+ 1 N)))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ 1 N))))) (neg (/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))))
(+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))
(+ (* N (* N (* N N))) (- (* N N) (* N (* N N))))
(- (* N N) (* N (* N N)))
(/ 1/24 N)
(/ (- 1/12 (/ 1/24 N)) N)
(- 1/12 (/ 1/24 N))
(/ (+ (/ 1/4 N) -1/3) (* N N))
(+ (/ 1/4 N) -1/3)
(/ N (+ 1 N))
(- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N))))))
(pow (log N) 2)
(/ (pow (log N) 2) (- (log (+ (* (* N N) (* N (* N (* N N)))) (* N (* N N)))) (log (+ (* N (* N (* N N))) (- (* N N) (* N (* N N)))))))

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

simplify441.0ms (3.7%)

Memory

-6.2MiB live, 483.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 888×	`accelerator-lowering-fma.f32`
7 888×	`accelerator-lowering-fma.f64`
5 182×	`+-lowering-+.f64`
5 182×	`+-lowering-+.f32`
3 652×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	4636
1	2026	4200
2	6393	3890
0	8843	3780

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

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

eval186.0ms (1.6%)

Memory: 14.4MiB live, 237.5MiB allocated
Compiler: Compiled 44 791 to 4 623 computations (89.7% saved)

prune170.0ms (1.4%)

Memory

-5.0MiB live, 324.5MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 211	21	1 232
Fresh	7	11	18
Picked	4	1	5
Done	1	6	7
Total	1 223	39	1 262

Accuracy

99.9%

Counts

1 262 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))))))))
✓	21.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	20.7%	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	21.8%	(fma.f64 (.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	21.3%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))))))))
	20.2%	(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	97.3%	(/.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)))
	20.0%	(/.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 #s(literal 1 binary64) N))))
	20.2%	(/.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)))))
	20.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	96.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	20.9%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	17.3%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.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 N #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	20.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	20.9%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 5 binary64)))
	17.7%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
	21.0%	(/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))))))))
✓	97.1%	(/.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)
	94.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
	20.9%	(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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)))))
	97.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N)))
	97.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 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))) N))
✓	94.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	96.6%	(/.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))))
	97.3%	(/.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)))
✓	87.5%	(/.f64 #s(literal 1 binary64) N)
	20.1%	(-.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)))))
✓	20.0%	(-.f64 (log1p.f64 N) (log.f64 N))
	96.9%	(.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)
	94.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
	23.1%	(.f64 (/.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	97.3%	(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))
	96.3%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
✓	22.5%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	23.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	22.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	22.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	9.7%	#s(literal 2 binary64)

Compiler

Compiled 2 729 to 905 computations (66.8% saved)

regimes41.0ms (0.3%)

Memory

21.7MiB live, 61.5MiB allocated

Counts

70 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) 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)
(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 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) 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 -1/2 binary64) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N) N)) (*.f64 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 -1/2 binary64) (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (-.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 #s(literal 0 binary64) (.f64 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))) N))
(-.f64 (/.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 (/.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 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 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)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) N))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.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))))
(/.f64 (neg.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 (+.f64 #s(literal 1 binary64) N) N)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) #s(literal 2 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 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (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)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 5 binary64)))
(/.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 #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 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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 (-.f64 #s(literal 0 binary64) (pow.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 N #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 #s(literal 0 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 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))))))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.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 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(fma.f64 (.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 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 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 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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))))))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (/.f64 (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 (/.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)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N 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)))))

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))))

(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))

Calls

2 calls:

20.0ms	N
15.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes26.0ms (0.2%)

Memory

-2.5MiB live, 35.9MiB allocated

Counts

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

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

Calls

2 calls:

12.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.2%)

Memory

-23.1MiB live, 15.3MiB allocated

Counts

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

Outputs

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

(/.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:

23.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

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

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (-.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)))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

27 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) 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)
(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 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) 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 -1/2 binary64) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N) N)) (*.f64 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 -1/2 binary64) (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 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:

7.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

20 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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))))) 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)
(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
97.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-31.2MiB live, 7.5MiB allocated

Counts

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

16 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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:

5.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

15 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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
97.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

12 → 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #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
96.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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 (/.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 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)

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:

3.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

6 → 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 (/.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
94.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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
87.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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
9.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.05578742681945e-5	0.0016272369782637242

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.05578742681945e-5	0.0016272369782637242

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch20.0ms (0.2%)

Memory

-33.8MiB live, 7.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	614.0387758610678	12412.93580161633

Samples

15.0ms

112×

valid

Compiler

Compiled 200 to 148 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 1.0ms (36.1% of total)

ival-log1p: 1.0ms (36.1% of total)

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

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

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

simplify55.0ms (0.5%)

Memory

18.9MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Rules

420×	`distribute-lft-neg-in_binary64`
254×	`neg-mul-1_binary64`
236×	`neg-sub0_binary64`
228×	`distribute-neg-in_binary64`
198×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	242
1	125	242
2	171	242
3	222	239
4	291	239
5	418	239
6	643	239
7	939	239
8	1211	239
9	1387	239
10	1447	239
11	1461	239
12	1470	239
13	1473	239

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.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 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (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 7378697629483821/73786976294838206464 binary64)) (/.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)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 N #s(literal 1150 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 #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) (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 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 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 7378697629483821/73786976294838206464 binary64)) (/.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 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (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 7378697629483821/73786976294838206464 binary64)) (/.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 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.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)))) (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 7378697629483821/73786976294838206464 binary64)) (/.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 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 1150 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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)))))
(if (<=.f64 N #s(literal 1150 binary64)) (log.f64 (/.f64 (+.f64 N #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 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 N (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(/.f64 #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 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 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)

soundness3.0s (25.6%)

Memory

-88.8MiB live, 3 429.2MiB allocated

Rules

11 456×	`accelerator-lowering-fma.f32`
11 456×	`accelerator-lowering-fma.f64`
7 888×	`accelerator-lowering-fma.f32`
7 888×	`accelerator-lowering-fma.f64`
6 324×	`accelerator-lowering-fma.f32`

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
0	666	4636
1	2026	4200
2	6393	3890
0	8843	3780
0	55	319
1	401	287
2	3818	278
0	9222	267
0	39	200
1	273	198
2	2489	198
0	8307	173
0	609	4659
1	1886	4332
2	5973	4296
0	8343	4138
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

Stop Event

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

Compiler

Compiled 641 to 359 computations (44% saved)

preprocess124.0ms (1.1%)

Memory: -9.6MiB live, 159.7MiB allocated
Compiler: Compiled 580 to 212 computations (63.4% 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%)

sample1.3s (10.6%)

preprocess22.0ms (0.2%)

explain145.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize53.0ms (0.4%)

series112.0ms (1%)

rewrite343.0ms (2.9%)

simplify388.0ms (3.3%)

eval40.0ms (0.3%)

prune54.0ms (0.5%)

simplify286.0ms (2.4%)

localize295.0ms (2.5%)

series57.0ms (0.5%)

rewrite521.0ms (4.4%)

simplify595.0ms (5%)

eval238.0ms (2%)

prune336.0ms (2.8%)

simplify252.0ms (2.1%)

localize315.0ms (2.7%)

series44.0ms (0.4%)

rewrite410.0ms (3.5%)

simplify434.0ms (3.7%)

eval224.0ms (1.9%)

prune190.0ms (1.6%)

simplify236.0ms (2%)

localize349.0ms (3%)

series22.0ms (0.2%)

rewrite405.0ms (3.4%)

simplify441.0ms (3.7%)

eval186.0ms (1.6%)

prune170.0ms (1.4%)

regimes41.0ms (0.3%)

regimes26.0ms (0.2%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

simplify55.0ms (0.5%)

soundness3.0s (25.6%)

preprocess124.0ms (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