Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.3s (13.1%)

Memory

21.7MiB live, 1 705.6MiB allocated

Samples

881.0ms	6 465×	1	valid
121.0ms	1 791×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 796.0ms

ival-log1p: 290.0ms (36.4% of total)

ival-log: 255.0ms (32% of total)

adjust: 111.0ms (13.9% of total)

ival-sub: 73.0ms (9.2% of total)

ival->: 27.0ms (3.4% of total)

ival-<: 16.0ms (2% of total)

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

exact: 10.0ms (1.3% of total)

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

Bogosity

preprocess34.0ms (0.3%)

Memory

-19.2MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain129.0ms (1.3%)

Memory

4.8MiB live, 214.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	2	(50.12806280986712)	4	(13.650612355730859)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	243	4

Confusion

	Predicted +	Predicted -
+	241	4
-	2	9

Precision

0.9917695473251029

Recall

0.9836734693877551

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	241	3	1
-	2	1	8

Precision?

0.9878542510121457

Recall?

0.9959183673469387

Freqs

test

number	freq
0	13
1	243

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	396×	1	valid
7.0ms	116×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 15.0ms (26.3% of total)

ival-log: 14.0ms (24.6% of total)

ival-log1p: 14.0ms (24.6% of total)

adjust: 8.0ms (14% of total)

ival-sub: 5.0ms (8.8% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify14.0ms (0.1%)

Memory

-17.3MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.4%)

Memory

34.3MiB live, 73.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	23.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

27.0ms	198×	1	valid
3.0ms	58×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log1p: 8.0ms (35.4% of total)

ival-log: 7.0ms (31% of total)

adjust: 4.0ms (17.7% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

-30.8MiB live, 85.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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 (* -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>
#<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 (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

12 calls:

Time	Variable		Point	Expression
25.0ms	N	@	0	(log N)
19.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
4.0ms	N	@	inf	(log (+ N 1))
1.0ms	N	@	inf	(- (log (+ N 1)) (log N))

rewrite335.0ms (3.4%)

Memory

25.6MiB live, 493.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 976×	`lower-/.f64`
4 976×	`lower-/.f32`
3 238×	`lower-*.f64`
3 238×	`lower-*.f32`
2 654×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

simplify295.0ms (3%)

Memory

34.3MiB live, 543.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
2 762×	`lower-*.f64`
2 762×	`lower-*.f32`
2 058×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

eval103.0ms (1.1%)

Memory: -51.7MiB live, 125.0MiB allocated
Compiler: Compiled 13 648 to 1 544 computations (88.7% saved)

prune78.0ms (0.8%)

Memory

28.4MiB live, 189.1MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	448	22	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	22	471

Accuracy

99.6%

Counts

471 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	25.3%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	24.7%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	25.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	23.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	23.4%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	91.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
▶	94.9%	(/.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)
	93.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	26.1%	(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N)))
	26.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
▶	84.6%	(/.f64 #s(literal 1 binary64) N)
	23.5%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	26.4%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	26.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 1 424 to 546 computations (61.7% saved)

simplify230.0ms (2.3%)

Memory

-23.7MiB live, 342.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))
✓	cost-diff	13184	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	cost-diff	256	(-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 N N) N)
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	cost-diff	704	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	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

7 596×	`lower-fma.f32`
7 588×	`lower-fma.f64`
2 688×	`lower-*.f32`
2 686×	`lower-*.f64`
1 608×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	321
0	76	321
1	129	314
2	254	311
3	685	311
4	1768	296
5	3514	296
6	6408	296
0	8221	296

Stop Event

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

Calls

Call 1

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

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

localize321.0ms (3.3%)

Memory

2.1MiB live, 194.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	26.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	accuracy	99.5%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N 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	24.2%	(-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.8%	(-.f64 (*.f64 N N) N)
✓	accuracy	99.7%	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	26.8%	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

188.0ms	197×	1	valid
65.0ms	59×	0	valid

Compiler

Compiled 380 to 45 computations (88.2% saved)

Precisions

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

ival-div: 35.0ms (24% of total)

ival-log: 23.0ms (15.7% of total)

adjust: 15.0ms (10.3% of total)

ival-pow: 15.0ms (10.3% of total)

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

ival-neg: 9.0ms (6.2% of total)

ival-pow2: 8.0ms (5.5% of total)

const: 7.0ms (4.8% of total)

ival-log1p: 7.0ms (4.8% of total)

ival-sub: 6.0ms (4.1% of total)

ival-mult: 6.0ms (4.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series91.0ms (0.9%)

Memory

8.2MiB live, 82.9MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
18.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
11.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
9.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))
5.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))
2.0ms	N	@	-inf	(/ (- (neg (pow (log (+ 1 N)) 2)) (neg (pow (log N) 2))) (neg (log (+ (* N N) N))))

rewrite501.0ms (5.1%)

Memory

18.0MiB live, 384.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 838×	`lower-*.f32`
5 836×	`lower-*.f64`
3 896×	`lower-fma.f32`
3 888×	`lower-fma.f64`
3 728×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	210
0	76	210
1	318	189
2	2525	189
0	8899	189

Stop Event

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

Counts

21 → 692

Calls

Call 1

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

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

simplify496.0ms (5%)

Memory

-11.0MiB live, 705.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 174×	`lower-*.f64`
7 174×	`lower-*.f32`
7 140×	`lower-fma.f64`
7 140×	`lower-fma.f32`
5 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1045	14212
1	3602	12953
0	9160	12472

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

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

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

eval173.0ms (1.8%)

Memory: 10.6MiB live, 357.5MiB allocated
Compiler: Compiled 53 728 to 3 948 computations (92.7% saved)

prune162.0ms (1.6%)

Memory

8.4MiB live, 419.1MiB allocated

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1 099	26	1 125
Fresh	6	11	17
Picked	3	2	5
Done	0	0	0
Total	1 108	39	1 147

Accuracy

99.7%

Counts

1 147 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 N N) N))))
	25.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	25.0%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.1%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	24.7%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	24.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
	94.7%	(/.f64 (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	94.6%	(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 N (.f64 N N)))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 (log.f64 N) N))))) N) (neg.f64 (log.f64 (fma.f64 N N N))))
	25.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.1%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	94.9%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
▶	94.8%	(/.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)
	24.3%	(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	93.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	91.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	93.6%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
	94.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N)
	94.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N N)) N)) N)
	84.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))) N)
▶	94.9%	(/.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))))
	26.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	84.6%	(/.f64 #s(literal 1 binary64) N)
	23.5%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	94.8%	(*.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)))
▶	22.7%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
	25.7%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
	25.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
✓	26.4%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	26.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 2 697 to 1 109 computations (58.9% saved)

simplify406.0ms (4.1%)

Memory

-14.6MiB live, 422.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
✓	cost-diff	0	(pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
✓	cost-diff	0	(pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
✓	cost-diff	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)
✓	cost-diff	960	(-.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)))))
✓	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)) 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	704	(/.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

11 070×	`lower-fma.f32`
11 062×	`lower-fma.f64`
2 714×	`lower-*.f32`
2 708×	`lower-*.f64`
2 010×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	521
0	110	505
1	197	505
2	366	500
3	841	500
4	2196	496
5	6603	491
0	8145	491

Stop Event

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

Calls

Call 1

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

localize478.0ms (4.9%)

Memory

5.4MiB live, 315.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	26.6%	(fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	accuracy	99.3%	(.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	99.2%	(pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64))
✓	accuracy	99.1%	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
✓	accuracy	23.6%	(-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(-.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)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	accuracy	99.9%	(/.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))))
✓	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	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

299.0ms	197×	1	valid
29.0ms	59×	0	valid

Compiler

Compiled 570 to 63 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-div: 88.0ms (34% of total)

ival-log: 39.0ms (15.1% of total)

ival-pow: 25.0ms (9.7% of total)

adjust: 24.0ms (9.3% of total)

const: 20.0ms (7.7% of total)

ival-add: 15.0ms (5.8% of total)

ival-pow2: 12.0ms (4.6% of total)

ival-sub: 12.0ms (4.6% of total)

ival-mult: 10.0ms (3.9% of total)

ival-log1p: 7.0ms (2.7% of total)

ival-neg: 5.0ms (1.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series82.0ms (0.8%)

Memory

6.6MiB live, 83.6MiB allocated

Counts

28 → 336

Calls

Call 1

Inputs
#<alt (/.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))))>
#<alt (/.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)))>
#<alt (+.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))>
#<alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))>
#<alt (/.f64 #s(literal 1/2 binary64) N)>
#<alt (-.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)))))>
#<alt (/.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)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))>
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 N N))>
#<alt (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))>
#<alt (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))>
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#<alt (fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))>
#<alt (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64))>
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Outputs
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#<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>
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#<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>
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#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
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#<alt (- (/ (pow (log -1) 2) (log N)) (/ (pow (+ (log -1) (log N)) 2) (log N)))>
#<alt (- (+ (* N (- (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))>
#<alt (- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))>
#<alt (- (+ (* N (- (+ (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* N (- (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (* N (- (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2)))) (log N))))) (log N))) (* -1/3 (/ (pow (+ (log -1) (log N)) 2) (pow (log N) 2))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 3))) (+ (* -1 (/ (- (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (* -1 (/ (pow (log -1) 2) (pow (log N) 3))))) (log N))) (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (+ (* -1/3 (/ (pow (log -1) 2) (pow (log N) 2))) (/ 1 (log N))))))))))) (+ (* -3/2 (/ (pow (log -1) 2) (pow (log N) 2))) (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* -1 (/ (pow (log -1) 2) (pow (log N) 3))) (/ 1 (log N)))))))) (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (pow (log -1) 2) (pow (log N) 2)))))) (/ (pow (log -1) 2) (log N))) (/ (pow (+ (log -1) (log N)) 2) (log N)))>
#<alt (/ 1 N)>
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#<alt (/ (- (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (+ 1/12 (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (log (/ 1 N)))) (* 9/32 (/ 1 (log (/ 1 N)))))) (* 1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 11/12 (log (/ 1 N))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/12 (+ (* -1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 3/32 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (* N (log (/ -1 N))))) (+ (/ 1/4 (* N (log (/ -1 N)))) (/ 1 N))) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (+ 1/12 (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 9/32 (/ 1 (log (/ -1 N))))))) (log (/ -1 N)))) (* 3/8 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))))) (+ (* -3/8 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ 11/12 (log (/ -1 N))) (log (/ -1 N)))) (+ (* -1/4 (/ (- (* 3/32 (/ 1 (log (/ -1 N)))) (+ 1/12 (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/12 (/ 1 (log (/ -1 N)))))))) N)) (+ (* -1/4 (/ (+ 3/8 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 3/16 (/ 1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 3/8 (/ 1 (log (/ -1 N)))))) (+ (* -1/4 (/ (- (* -4/3 (log (/ -1 N))) 1) (log (/ -1 N)))) (* 1/4 (/ (+ 5/8 (* 1/16 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) N)) (+ 1 (+ (* -1/4 (/ (+ 1 (* 2 (log (/ -1 N)))) (log (/ -1 N)))) (* 1/4 (/ 1 (log (/ -1 N))))))) N)) 1) N))>
#<alt (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (log N))>
#<alt (- (+ (* N (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))>
#<alt (- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))>
#<alt (- (+ (* N (- (+ (* -2 (/ (+ (log -1) (log N)) (log N))) (* N (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (+ (* N (- (+ (* -2/3 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -3/2 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (log N)) (log N))) (/ 1 (log N))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))) (log N))) (* -1/3 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))))) (/ 1 (log N)))) (+ (* -2 (/ (log -1) (log N))) (+ (* -3/2 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))) (* -1 (/ (- (* -2 (/ (+ (log -1) (log N)) (log N))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2)))) (log N)))))))) (* -1 (/ (- (pow (+ (log -1) (log N)) 2) (pow (log -1) 2)) (pow (log N) 2))))) (/ (pow (+ (log -1) (log N)) 2) (log N))) (/ (pow (log -1) 2) (log N)))>
#<alt (/ -1 N)>
#<alt (/ (- (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (/ 1/4 (* N (log (/ 1 N))))) 1) N)>
#<alt (/ (- (+ (* -1/4 (/ (+ 1 (* 4/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ 1 (* 1/4 (/ (+ (* -1/4 (/ (- (+ 1 (* 2 (log (/ 1 N)))) (* 4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))))) N)>
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#<alt (+ (sqrt (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))) N) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))))>
#<alt (+ (sqrt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -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 (/ (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (* 1/2 (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)))>
#<alt (+ (sqrt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (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))))))))) (* 1/2 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 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 (/ (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (* 1/2 (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (- (+ (* -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 (/ (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))))) N)) (* 1/2 (* (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)))>

Calls

84 calls:

Time	Variable		Point	Expression
18.0ms	N	@	inf	(+ (* (pow (neg (log (/ (- 1 N) (- 1 (* N N))))) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
16.0ms	N	@	inf	(pow (log N) 3)
11.0ms	N	@	-inf	(+ (* (pow (neg (log (/ (- 1 N) (- 1 (* N N))))) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
3.0ms	N	@	inf	(neg (/ (- (pow (log (- (* N N) N)) 2) (pow (log (+ (* N N) -1)) 2)) (log (* (- (* N N) N) (+ (* N N) -1)))))
2.0ms	N	@	-inf	(neg (/ (- (pow (log (- (* N N) N)) 2) (pow (log (+ (* N N) -1)) 2)) (log (* (- (* N N) N) (+ (* N N) -1)))))

rewrite461.0ms (4.7%)

Memory

-1.8MiB live, 279.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 026×	`lower-*.f32`
4 020×	`lower-*.f64`
3 518×	`lower-/.f32`
3 490×	`lower-/.f64`
3 208×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	339
0	110	320
1	481	282
2	4306	280
0	8877	275

Stop Event

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

Counts

28 → 709

Calls

Call 1

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

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

simplify438.0ms (4.5%)

Memory

6.2MiB live, 548.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 936×	`lower-fma.f64`
6 936×	`lower-fma.f32`
6 800×	`lower-*.f64`
6 800×	`lower-*.f32`
5 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1356	13347
1	4620	12528
0	9550	11995

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

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

eval172.0ms (1.8%)

Memory: 28.5MiB live, 311.7MiB allocated
Compiler: Compiled 46 221 to 4 307 computations (90.7% saved)

prune157.0ms (1.6%)

Memory

-38.2MiB live, 369.5MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1 073	15	1 088
Fresh	8	24	32
Picked	2	3	5
Done	0	2	2
Total	1 083	44	1 127

Accuracy

99.8%

Counts

1 127 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.2%	(fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 N N) N))))
	25.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	25.0%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.1%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	24.7%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	94.7%	(/.f64 (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	25.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.1%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
▶	94.9%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	24.3%	(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	93.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	91.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	25.2%	(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))))
	93.6%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	91.1%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	94.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N)
	92.1%	(/.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
	25.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))))
	94.7%	(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
	94.9%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))
▶	95.4%	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
	95.4%	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))
	94.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))
✓	84.6%	(/.f64 #s(literal 1 binary64) N)
	26.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))
	23.5%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.9%	(neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))) (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
✓	22.7%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
	23.1%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
	22.7%	(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64))))
	25.7%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
	25.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
▶	26.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))))
✓	26.4%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Compiler

Compiled 3 203 to 1 254 computations (60.8% saved)

simplify290.0ms (2.9%)

Memory

6.7MiB live, 518.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	192	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	0	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))))
✓	cost-diff	704	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))
✓	cost-diff	16576	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(-.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)))
✓	cost-diff	64	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))
✓	cost-diff	0	(+.f64 N (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
✓	cost-diff	1792	(.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))

Rules

13 584×	`lower-fma.f32`
13 576×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 844×	`lower-*.f64`
2 030×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	556
0	100	576
1	185	548
2	385	547
3	935	463
4	2210	416
5	5417	416
0	8165	413

Stop Event

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

Calls

Call 1

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

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

localize325.0ms (3.3%)

Memory

23.7MiB live, 534.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	98.8%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	26.4%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.5%	(.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.3%	(.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	26.8%	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	accuracy	99.8%	(-.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)))
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
✓	accuracy	100.0%	(+.f64 N #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.6%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	accuracy	99.6%	(.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.4%	(/.f64 #s(literal -1/12 binary64) (*.f64 N N))
✓	accuracy	99.3%	(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))

Samples

199.0ms	197×	1	valid
30.0ms	59×	0	valid

Compiler

Compiled 613 to 58 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-div: 41.0ms (22.4% of total)

ival-log: 31.0ms (16.9% of total)

adjust: 20.0ms (10.9% of total)

ival-mult: 18.0ms (9.8% of total)

ival-pow: 17.0ms (9.3% of total)

ival-add: 16.0ms (8.7% of total)

const: 12.0ms (6.5% of total)

ival-pow2: 11.0ms (6% of total)

ival-log1p: 7.0ms (3.8% of total)

ival-sub: 6.0ms (3.3% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series42.0ms (0.4%)

Memory

5.0MiB live, 40.3MiB allocated

Counts

30 → 360

Calls

Call 1

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

Outputs
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#<alt (log N)>
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#<alt (pow (log N) 2)>
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#<alt (+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 N) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))>
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#<alt (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (pow (log (/ 1 N)) 3) (pow (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 3)))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 N) (+ (/ 1 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (pow (log (/ 1 N)) 3) (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 3))) (+ (/ (* (pow (log (/ 1 N)) 3) (pow (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 3))) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))))))))))) (+ (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- 1 (* -1 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))>
#<alt (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
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#<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 (/ 1/4 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 (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 (- (* -1 N) 1))))>
#<alt (* N (+ 1 (* N (- (* N (- N 1)) 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 N) 1) N))) N))))>
#<alt (pow (log N) 2)>
#<alt (+ (* -2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (* 1/2 (log N))))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N)))))))))) (pow (log N) 2))>
#<alt (* 4 (/ (log (/ 1 N)) N))>
#<alt (/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (/ 1 N))) N)>
#<alt (/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2)))))) N)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2))))))) (* 1/12 (/ 1 (pow N 3)))) N)>
#<alt (* 4 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N))>
#<alt (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)))) N))) N))>
#<alt (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -4/3 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1/12) N))) 1) N)))) N))) N))>
#<alt (/ 1 (log N))>
#<alt (+ (/ 1 (log N)) (/ N (pow (log N) 2)))>
#<alt (+ (* N (+ (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (+ (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (+ (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -1/4 (log (/ 1 N)))>
#<alt (- (* 1/16 (/ 1 (* N (pow (log (/ 1 N)) 2)))) (* 1/4 (/ 1 (log (/ 1 N)))))>
#<alt (- (+ (/ 1/16 (* N (pow (log (/ 1 N)) 2))) (* 3/32 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/64 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))>
#<alt (- (+ (/ 1/48 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/16 (* N (pow (log (/ 1 N)) 2))) (* 3/32 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* 1/4 (/ (- (* 3/32 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/128 (* (pow N 3) (pow (log (/ 1 N)) 3))) (+ (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/64 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))))>
#<alt (/ -1/4 (log (/ -1 N)))>
#<alt (- (* 1/16 (/ 1 (* N (pow (log (/ -1 N)) 2)))) (* 1/4 (/ 1 (log (/ -1 N)))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 3/32 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/16 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (log (/ -1 N)))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 3/128 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* -1/4 (/ (- (* 3/32 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/48 (/ 1 (pow (log (/ -1 N)) 2))))) N)) (* 3/32 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/16 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (log (/ -1 N)))))>
#<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))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>

Calls

90 calls:

Time	Variable		Point	Expression
12.0ms	N	@	-inf	(/ 1 (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
7.0ms	N	@	inf	(pow (/ 1 (* (log (* (- (* N N) N) (+ (* N N) -1))) (log (/ (- (* N N) N) (+ (* N N) -1))))) -1)
2.0ms	N	@	-inf	(+ (* (pow (log N) 3) (/ 1 (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
1.0ms	N	@	inf	(/ 1 (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
1.0ms	N	@	inf	(+ (* (pow (log N) 3) (/ 1 (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))

rewrite388.0ms (3.9%)

Memory

-16.9MiB live, 512.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 098×	`lower-*.f32`
4 086×	`lower-*.f64`
3 504×	`lower-/.f32`
3 476×	`lower-/.f64`
3 416×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	413
0	100	404
1	443	379
2	4260	372
0	8809	363

Stop Event

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

Counts

30 → 748

Calls

Call 1

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

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

simplify438.0ms (4.5%)

Memory

14.6MiB live, 556.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 626×	`lower-fma.f64`
8 626×	`lower-fma.f32`
6 662×	`lower-+.f64`
6 662×	`lower-+.f32`
4 606×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	891	7387
1	2839	6404
0	8059	6151

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

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 (- (* 1/2 N) 1/12))) (pow N 2))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(* 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 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)))
(/ 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))
(/ -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 1/2)
(- N 1/2)
(- N 1/2)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(/ -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)
(/ -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 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (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))
(pow (log N) 2)
(+ (* -2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (* 1/2 (log N))))))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N)))))))))) (pow (log N) 2))
(* 4 (/ (log (/ 1 N)) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (/ 1 N))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2)))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2))))))) (* 1/12 (/ 1 (pow N 3)))) N)
(* 4 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -4/3 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1/12) N))) 1) N)))) N))) 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)))
(* -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))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (+ (* -1 (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))) (/ 1 (pow (log N) 2)))) 1/2)))))
(+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -1 (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 N) (/ (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))
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(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)
(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))))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(/ -1/12 (pow N 2))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 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))
(/ -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)
(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 (* N (- (* -1 N) 1))))
(* N (+ 1 (* N (- (* N (- N 1)) 1))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 2)))))
(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 (/ (- (/ 1 N) 1) N))) N))))
(pow (log N) 2)
(+ (* -2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (* 1/2 (log N))))))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (* -3/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N)))))))))) (pow (log N) 2))
(* 4 (/ (log (/ 1 N)) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4 (log (/ 1 N))) (/ 1 N))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2)))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (log (/ 1 N))) (+ (/ 1 N) (/ 1 (pow N 2))))))) (* 1/12 (/ 1 (pow N 3)))) N)
(* 4 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -4/3 (log (/ -1 N))) 1) N)))) N))) N))
(* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -4/3 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1/12) N))) 1) N)))) N))) N))
(/ 1 (log N))
(+ (/ 1 (log N)) (/ N (pow (log N) 2)))
(+ (* N (+ (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (+ (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (+ (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -1/4 (log (/ 1 N)))
(- (* 1/16 (/ 1 (* N (pow (log (/ 1 N)) 2)))) (* 1/4 (/ 1 (log (/ 1 N)))))
(- (+ (/ 1/16 (* N (pow (log (/ 1 N)) 2))) (* 3/32 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/64 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))
(- (+ (/ 1/48 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/16 (* N (pow (log (/ 1 N)) 2))) (* 3/32 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* 1/4 (/ (- (* 3/32 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/128 (* (pow N 3) (pow (log (/ 1 N)) 3))) (+ (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/64 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3))))))))
(/ -1/4 (log (/ -1 N)))
(- (* 1/16 (/ 1 (* N (pow (log (/ -1 N)) 2)))) (* 1/4 (/ 1 (log (/ -1 N)))))
(- (* -1 (/ (- (* -1 (/ (- (* 3/32 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/16 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (log (/ -1 N)))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 3/128 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* -1/4 (/ (- (* 3/32 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/48 (/ 1 (pow (log (/ -1 N)) 2))))) N)) (* 3/32 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/64 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/16 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (log (/ -1 N)))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(* -1 (pow (log (/ 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))
(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))

Outputs
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/12 binary64) #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/12 (/ 1 N)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/12 (/ 1 N)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 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 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))
(* 24 (pow N 2))
(.f64 (.f64 N N) #s(literal 24 binary64))
(* (pow N 2) (+ 24 (* 48 N)))
(.f64 (.f64 N N) (fma.f64 N #s(literal 48 binary64) #s(literal 24 binary64)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N #s(literal -192 binary64) #s(literal 48 binary64)) #s(literal 24 binary64)))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1536 binary64) #s(literal -192 binary64)) #s(literal 48 binary64)) #s(literal 24 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)
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(/.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)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (neg.f64 N)) #s(literal -1 binary64)) N))
(/ 1/24 (pow N 2))
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(/ (+ 1/24 (* -1/12 N)) (pow N 2))
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(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 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))
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(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (/.f64 (log.f64 N) (.f64 N N)))) (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(- (+ (* -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)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (neg.f64 (/.f64 (log.f64 N) (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (.f64 N (.f64 N N)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)) N)) N)) N))

eval191.0ms (1.9%)

Memory: 20.2MiB live, 357.7MiB allocated
Compiler: Compiled 50 229 to 4 729 computations (90.6% saved)

prune265.0ms (2.7%)

Memory

-15.4MiB live, 429.1MiB allocated

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1 299	18	1 317
Fresh	7	27	34
Picked	5	0	5
Done	2	3	5
Total	1 313	48	1 361

Accuracy

99.8%

Counts

1 361 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.5%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N)))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 N N) N))))
	25.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	25.0%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.1%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	24.7%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	25.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.1%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	94.9%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)
	24.3%	(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	93.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	25.2%	(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))))
	94.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N)
	95.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))
	95.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 N N) (pow.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 3 binary64))) (fma.f64 N N (.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) N)))))
	25.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))))
	95.4%	(/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))
	94.2%	(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
	92.1%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	95.3%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))) #s(literal 1 binary64)) N))
	95.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)))) (/.f64 #s(literal 1 binary64) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))))
✓	84.6%	(/.f64 #s(literal 1 binary64) N)
	26.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))
	23.5%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(-.f64 (log1p.f64 N) (log.f64 N))
	94.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))
	7.4%	(.f64 (.f64 N N) #s(literal 24 binary64))
	24.9%	(neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))) (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
✓	22.7%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
	23.1%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
	22.7%	(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64))))
	26.4%	(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))
	25.7%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
	25.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	26.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (-.f64 (.f64 N N) N)) (-.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal 1 binary64)) (neg.f64 (.f64 N N)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))))
	26.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))))
✓	26.4%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	90.7%	(exp.f64 (.f64 (log.f64 (+.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)))) #s(literal -1 binary64)))
	3.3%	#s(literal 0 binary64)

Compiler

Compiled 4 687 to 1 144 computations (75.6% saved)

regimes61.0ms (0.6%)

Memory

11.5MiB live, 86.0MiB allocated

Counts

82 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 (.f64 N N) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.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 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N)
(/.f64 (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)) (neg.f64 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) (/.f64 (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N N)) N)) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) 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 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 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 (+.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 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))) #s(literal 1 binary64)) N))
(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)))) (/.f64 #s(literal 1 binary64) (-.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N))))))
(-.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 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 N N) (pow.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 3 binary64))) (fma.f64 N N (.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) N)) N)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 N N) N))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))))))
(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (-.f64 (.f64 N N) N)) (-.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal 1 binary64)) (neg.f64 (.f64 N N)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))) (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 N (.f64 N N)))) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 (log.f64 N) N))))) N) (neg.f64 (log.f64 (fma.f64 N N N))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 N)))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))

Outputs

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

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

Calls

2 calls:

34.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
23.0ms	N

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.2%)

Memory

-21.1MiB live, 24.0MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Memory

0.2MiB live, 39.2MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.4%	1	`N`
95.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.2%	1	`N`
94.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-25.0MiB live, 11.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
92.1%	1	`N`
92.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 (.f64 N N) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) N)

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 (.f64 N N) #s(literal 24 binary64))

Outputs
(.f64 (.f64 N N) #s(literal 24 binary64))

Calls

2 calls:

2.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
7.4%	1	`N`
7.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
3.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007780859268411433	0.001396559932895336

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007780859268411433	0.001396559932895336

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0.1%)

Memory

-17.5MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	101
1	47	101
2	52	101
3	55	101
4	56	101

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (11.2%)

Memory

13.1MiB live, 861.1MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
8 626×	`lower-fma.f64`
8 626×	`lower-fma.f32`
6 936×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	891	7387
1	2839	6404
0	8059	6151
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278
0	1356	13347
1	4620	12528
0	9550	11995
0	41	210
0	76	210
1	318	189
2	2525	189
0	8899	189

Stop Event

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

Compiler

Compiled 308 to 185 computations (39.9% saved)

preprocess118.0ms (1.2%)

Memory: 1.3MiB live, 118.6MiB allocated
Compiler: Compiled 300 to 136 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze0.0ms (0%)

sample1.3s (13.1%)

preprocess34.0ms (0.3%)

explain129.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize40.0ms (0.4%)

series56.0ms (0.6%)

rewrite335.0ms (3.4%)

simplify295.0ms (3%)

eval103.0ms (1.1%)

prune78.0ms (0.8%)

simplify230.0ms (2.3%)

localize321.0ms (3.3%)

series91.0ms (0.9%)

rewrite501.0ms (5.1%)

simplify496.0ms (5%)

eval173.0ms (1.8%)

prune162.0ms (1.6%)

simplify406.0ms (4.1%)

localize478.0ms (4.9%)

series82.0ms (0.8%)

rewrite461.0ms (4.7%)

simplify438.0ms (4.5%)

eval172.0ms (1.8%)

prune157.0ms (1.6%)

simplify290.0ms (2.9%)

localize325.0ms (3.3%)

series42.0ms (0.4%)

rewrite388.0ms (3.9%)

simplify438.0ms (4.5%)

eval191.0ms (1.9%)

prune265.0ms (2.7%)

regimes61.0ms (0.6%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.1s (11.2%)

preprocess118.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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