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 (12.5%)

Memory

11.3MiB live, 1 627.8MiB allocated

Samples

878.0ms	6 435×	1	valid
107.0ms	1 821×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 736.0ms

ival-log1p: 268.0ms (36.4% of total)

ival-log: 215.0ms (29.2% of total)

adjust: 94.0ms (12.8% of total)

ival-sub: 71.0ms (9.6% of total)

ival->: 32.0ms (4.3% of total)

ival-<: 31.0ms (4.2% of total)

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

exact: 10.0ms (1.4% of total)

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

Bogosity

preprocess24.0ms (0.2%)

Memory

-1.5MiB live, 35.9MiB 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))

explain123.0ms (1.2%)

Memory

-2.1MiB live, 242.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	3	(231.89665918076128)	2	(18.337314821148293)	`(-.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	246	2

Confusion

	Predicted +	Predicted -
+	243	2
-	3	8

Precision

0.9878048780487805

Recall

0.9918367346938776

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	243	1	1
-	3	1	7

Precision?

0.9838709677419355

Recall?

0.9959183673469387

Freqs

test

number	freq
0	10
1	246

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	400×	1	valid
7.0ms	112×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 14.0ms (32.4% of total)

ival-log1p: 14.0ms (32.4% of total)

adjust: 8.0ms (18.5% of total)

ival-sub: 4.0ms (9.2% of total)

ival-add: 3.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB 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)

localize42.0ms (0.4%)

Memory

-4.6MiB live, 77.4MiB 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	24.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

29.0ms	200×	1	valid
3.0ms	56×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log1p: 10.0ms (41.6% of total)

ival-log: 6.0ms (24.9% of total)

adjust: 3.0ms (12.5% of total)

ival-sub: 3.0ms (12.5% of total)

ival-add: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory

-2.2MiB live, 74.1MiB 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
24.0ms	N	@	0	(log N)
17.0ms	N	@	-inf	(log N)
8.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	0	(log (+ N 1))

rewrite316.0ms (3.1%)

Memory

8.6MiB live, 368.9MiB 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 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))

simplify400.0ms (3.9%)

Memory

-4.0MiB live, 305.2MiB 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)))

eval69.0ms (0.7%)

Memory: 11.5MiB live, 86.9MiB allocated
Compiler: Compiled 13 648 to 1 544 computations (88.7% saved)

prune150.0ms (1.5%)

Memory

-6.0MiB live, 154.5MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	442	28	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	28	471

Accuracy

99.4%

Counts

471 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(fma.f64 (pow.f64 (log1p.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)))) (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))))))
	26.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.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)))) (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))))))
▶	26.5%	(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)))))
	22.4%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.2%	(fma.f64 (log1p.f64 N) (/.f64 (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)))) (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))))))
	24.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (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)))))
	25.2%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (.f64 N N) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (*.f64 N N) N))))) (log.f64 N)))
▶	25.2%	(/.f64 (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
	25.1%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (log.f64 N)))
	25.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	24.2%	(/.f64 (-.f64 (.f64 (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 (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))) (*.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 (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)))))
	24.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	24.1%	(/.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))))
	91.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	24.1%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (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)))))
▶	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	94.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	84.0%	(/.f64 #s(literal 1 binary64) N)
	24.1%	(-.f64 (/.f64 (pow.f64 (log1p.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 (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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
▶	24.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.6%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N)))
	27.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	27.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.7%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	26.7%	(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 1 742 to 720 computations (58.7% saved)

simplify503.0ms (4.9%)

Memory

-1.4MiB live, 451.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64))
✓	cost-diff	0	(-.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)))
✓	cost-diff	6592	(fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	21632	(/.f64 (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	7488	(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)))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(-.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

15 490×	`lower-fma.f32`
15 480×	`lower-fma.f64`
3 538×	`lower-*.f32`
3 528×	`lower-*.f64`
2 874×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	408
0	85	388
1	141	386
2	253	382
3	598	382
4	1467	361
5	4827	358
0	8214	357

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

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

localize376.0ms (3.6%)

Memory

-18.9MiB live, 265.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(pow.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	27.1%	(fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	accuracy	99.2%	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (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	28.2%	(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)))))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	accuracy	99.7%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

127.0ms	144×	1	valid
55.0ms	25×	3	valid
42.0ms	26×	2	valid
21.0ms	58×	0	valid
8.0ms	3×	5	exit

Compiler

Compiled 467 to 47 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-pow2: 38.0ms (17.8% of total)

adjust: 31.0ms (14.5% of total)

ival-log1p: 26.0ms (12.2% of total)

ival-log: 25.0ms (11.7% of total)

ival-add: 24.0ms (11.2% of total)

ival-div: 23.0ms (10.8% of total)

ival-mult: 19.0ms (8.9% of total)

ival-sub: 15.0ms (7% of total)

const: 7.0ms (3.3% of total)

ival-neg: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series56.0ms (0.5%)

Memory

-16.9MiB live, 59.2MiB allocated

Counts

20 → 240

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 (log1p.f64 N) (log.f64 N))>
#<alt (log1p.f64 N)>
#<alt (log.f64 N)>
#<alt (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)))))>
#<alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))>
#<alt (/.f64 (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))>
#<alt (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))>
#<alt (-.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)))>
#<alt (pow.f64 (log1p.f64 (.f64 N (.f64 N 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 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))>
#<alt (pow.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 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 (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
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#<alt (+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (* 5 (pow (log (/ 1 N)) 3)))>
#<alt (+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))))>
#<alt (+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (+ (/ (* (log (/ 1 N)) (+ 1 (* -2 (log (/ 1 N))))) (pow N 2)) (/ (pow (log (/ 1 N)) 2) N))))))>
#<alt (+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (+ 1 (* -6 (log (/ 1 N)))) (* -8/3 (log (/ 1 N))))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (+ (/ (* (log (/ 1 N)) (+ 1 (* -2 (log (/ 1 N))))) (pow N 2)) (/ (pow (log (/ 1 N)) 2) N))))))))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2))))))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 (* -2 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2))))))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 (* -2 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* 5/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (+ 1 (* 8/3 (log (/ -1 N))))))) N)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2))))))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- N 1))>
#<alt (* (pow N 2) (- (* N (+ 1 (* 13/12 N))) 1))>
#<alt (* (pow N 2) (- (* N (+ 1 (* N (+ 13/12 (* -1/6 N))))) 1))>
#<alt (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (- (+ (* -4 (/ (log (/ 1 N)) N)) (* 9 (pow (log (/ 1 N)) 2))) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (- (+ (* -1 (/ (+ 1 (* -2 (log (/ 1 N)))) (pow N 2))) (* 9 (pow (log (/ 1 N)) 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 3)))) (+ (* -8/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))>
#<alt (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (- (+ (* -4 (/ (log (/ -1 N)) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (- (+ (* -1 (/ (- (+ (* -2 (/ (log (/ -1 N)) N)) (/ 1 N)) (* -4 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (+ 1 (* 8/3 (log (/ -1 N))))) N)) (+ 1 (* -2 (log (/ -1 N))))) N)) (* -4 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (* -1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (* (pow N 3) (- (* 11/12 (pow N 3)) 1))))>
#<alt (* (pow N 6) (+ 1 (* (pow N 3) (- (* (pow N 3) (+ 11/12 (* -5/6 (pow N 3)))) 1))))>
#<alt (* 9 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (* 9 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 6)))))>
#<alt (- (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 9))) (+ (* 3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 6)))))) (/ 1 (pow N 9)))>
#<alt (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -3 (log (/ -1 N)))) (pow N 3))) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -3 (log (/ -1 N)))))) (pow N 3)))) (pow N 3))) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -3 (log (/ -1 N)))))) (pow N 3))))) (pow N 3)))) (pow N 3))) (pow (+ (log -1) (* -3 (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 (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* -13/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (- (* 1/6 N) 13/12)) 1))))>
#<alt (* 4 (pow (log (/ 1 N)) 2))>
#<alt (+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))>
#<alt (- (+ (* -8/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))>
#<alt (* 4 (pow (log (/ -1 N)) 2))>
#<alt (+ (* 4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 8/3 (log (/ -1 N)))) N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(pow (log (+ 1 N)) 2)
5.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 2) (/ 1 (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
4.0ms	N	@	-inf	(/ (+ (* (- (pow (log (+ 1 (* N (* N N)))) 2) (pow (log (+ 1 (- (* N N) N))) 2)) (log N)) (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (neg (pow (log N) 2)))) (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (log N)))
4.0ms	N	@	inf	(/ (+ (* (- (pow (log (+ 1 (* N (* N N)))) 2) (pow (log (+ 1 (- (* N N) N))) 2)) (log N)) (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (neg (pow (log N) 2)))) (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (log N)))
3.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 2) (/ 1 (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))

rewrite669.0ms (6.5%)

Memory

11.1MiB live, 481.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 686×	`lower-*.f32`
6 676×	`lower-*.f64`
4 484×	`lower-fma.f32`
4 474×	`lower-fma.f64`
4 060×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	251
0	85	216
1	365	213
2	3064	213
0	10356	213

Stop Event

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

Counts

20 → 718

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

simplify448.0ms (4.3%)

Memory

16.3MiB live, 570.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 770×	`lower-fma.f64`
8 770×	`lower-fma.f32`
6 868×	`lower-+.f64`
6 868×	`lower-+.f32`
4 172×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	955	7465
1	3000	7022
0	8201	6672

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

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)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
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(* N (pow (log N) 2))
(* N (+ (* N (+ (* -1 (log N)) (* -1/2 (pow (log N) 2)))) (pow (log N) 2)))
(* N (+ (* N (+ (* -1 (log N)) (+ (* -1/2 (pow (log N) 2)) (* N (+ (log N) (* -5/3 (pow (log N) 2))))))) (pow (log N) 2)))
(* N (+ (* N (+ (* -1 (log N)) (+ (* -1/2 (pow (log N) 2)) (* N (+ (log N) (+ (* -5/3 (pow (log N) 2)) (* N (+ (* -1/4 (pow (log N) 2)) (* 13/12 (log N)))))))))) (pow (log N) 2)))
(+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (* 5 (pow (log (/ 1 N)) 3)))
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(+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (* (log (/ 1 N)) (- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (+ 1 (* -6 (log (/ 1 N)))) (* -8/3 (log (/ 1 N))))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (+ (/ (* (log (/ 1 N)) (+ 1 (* -2 (log (/ 1 N))))) (pow N 2)) (/ (pow (log (/ 1 N)) 2) N))))))))
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(* -1 (pow N 2))
(* (pow N 2) (- N 1))
(* (pow N 2) (- (* N (+ 1 (* 13/12 N))) 1))
(* (pow N 2) (- (* N (+ 1 (* N (+ 13/12 (* -1/6 N))))) 1))
(- (* 9 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2)))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (* 9 (pow (log (/ 1 N)) 2))) (* 4 (pow (log (/ 1 N)) 2)))
(- (+ (* -1 (/ (+ 1 (* -2 (log (/ 1 N)))) (pow N 2))) (* 9 (pow (log (/ 1 N)) 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2))))
(- (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 3)))) (+ (* -8/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))
(- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2)))
(- (+ (* -4 (/ (log (/ -1 N)) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))
(- (+ (* -1 (/ (- (+ (* -2 (/ (log (/ -1 N)) N)) (/ 1 N)) (* -4 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (+ 1 (* 8/3 (log (/ -1 N))))) N)) (+ 1 (* -2 (log (/ -1 N))))) N)) (* -4 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)) (* 4 (pow (log (/ -1 N)) 2)))
(pow N 6)
(* (pow N 6) (+ 1 (* -1 (pow N 3))))
(* (pow N 6) (+ 1 (* (pow N 3) (- (* 11/12 (pow N 3)) 1))))
(* (pow N 6) (+ 1 (* (pow N 3) (- (* (pow N 3) (+ 11/12 (* -5/6 (pow N 3)))) 1))))
(* 9 (pow (log (/ 1 N)) 2))
(+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (* 9 (pow (log (/ 1 N)) 2)))
(+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* 3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 6)))))
(- (+ (* -6 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 9))) (+ (* 3 (/ (log (/ 1 N)) (pow N 6))) (+ (* 9 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 6)))))) (/ 1 (pow N 9)))
(pow (+ (log -1) (* -3 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -3 (log (/ -1 N)))) (pow N 3))) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -3 (log (/ -1 N)))))) (pow N 3)))) (pow N 3))) (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -3 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -3 (log (/ -1 N)))))) (pow N 3))))) (pow N 3)))) (pow N 3))) (pow (+ (log -1) (* -3 (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)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
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(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* -13/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (- (* 1/6 N) 13/12)) 1))))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -8/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(* 4 (pow (log (/ -1 N)) 2))
(+ (* 4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 8/3 (log (/ -1 N)))) N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))

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)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
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(/ 1 N)
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(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.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))
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(/ -1/4 (pow N 3))
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(/ (- (* 1/3 N) 1/4) (pow N 3))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
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(/.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
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(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
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1
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(- 1 (* 1/2 (/ 1 N)))
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(/ -1/4 (pow N 3))
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(/ (- (* 1/3 N) 1/4) (pow N 3))
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(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(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))
(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))
(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))
(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))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(fma.f64 N (fma.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) #s(literal -1 binary64)) (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(fma.f64 N (fma.f64 N (fma.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/3 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N)))) #s(literal -1 binary64)) (log.f64 N))
(* -1/2 (log (/ 1 N)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal -1/4 binary64) N))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) (neg.f64 (log.f64 N)))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1/8 binary64) (.f64 N N))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N))))) (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (log.f64 N))) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/4 binary64) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) (neg.f64 (log.f64 N))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 N (log.f64 (/.f64 #s(literal -1 binary64) N)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (neg.f64 N)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (neg.f64 N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (* N (- (* -13/12 N) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N #s(literal -13/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* N (- (* N (- (* 1/6 N) 13/12)) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/6 binary64) #s(literal -13/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* 4 (pow (log (/ 1 N)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* 4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 N) N))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 #s(literal 4 binary64) (+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(- (+ (* -8/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (/ (log (/ 1 N)) N)) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) #s(literal -8/3 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(* 4 (pow (log (/ -1 N)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))
(+ (* 4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) N) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -4 binary64)) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 1 binary64)) N)) N))
(+ (* -1 (/ (+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 8/3 (log (/ -1 N)))) N)))) N))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 8/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) (neg.f64 N)))

eval158.0ms (1.5%)

Memory: 24.8MiB live, 298.3MiB allocated
Compiler: Compiled 45 749 to 3 093 computations (93.2% saved)

prune134.0ms (1.3%)

Memory

0.1MiB live, 237.8MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 099	23	1 122
Fresh	9	14	23
Picked	1	4	5
Done	0	0	0
Total	1 109	41	1 150

Accuracy

99.5%

Counts

1 150 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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)))))
	25.0%	(fma.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N (.f64 (.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))))) #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)))))
	26.1%	(fma.f64 (pow.f64 (log1p.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)))) (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))))))
✓	26.5%	(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)))))
	25.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	22.4%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.2%	(fma.f64 (log1p.f64 N) (/.f64 (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)))) (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))))))
▶	24.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
	25.3%	(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N)))) (/.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)))))
	26.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
✓	25.2%	(/.f64 (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
	25.2%	(/.f64 (fma.f64 (-.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))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (exp.f64 (log.f64 (log.f64 N)))))
	25.1%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (log.f64 N)))
	25.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	25.4%	(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
	95.1%	(/.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)))
	24.1%	(/.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	95.5%	(/.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)
	24.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	24.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (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))))
	95.6%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
	24.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	94.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	91.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	94.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	95.6%	(/.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)
▶	95.6%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
✓	84.0%	(/.f64 #s(literal 1 binary64) N)
	24.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
✓	24.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.6%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N)))
	24.1%	(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
▶	25.4%	(.f64 (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
	95.6%	(*.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)))
	27.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
▶	27.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.7%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	91.0%	(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)))
	26.7%	(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 2 159 to 1 029 computations (52.3% saved)

simplify291.0ms (2.8%)

Memory

-27.3MiB live, 377.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	14144	(.f64 (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
✓	cost-diff	14784	(fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	17024	(/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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))))
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	0	(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	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

10 100×	`lower-fma.f32`
10 090×	`lower-fma.f64`
3 168×	`lower-*.f32`
3 158×	`lower-*.f64`
2 558×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	450
0	85	437
1	140	435
2	255	385
3	564	385
4	1507	323
5	5109	323
0	8355	323

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

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

localize281.0ms (2.7%)

Memory

45.2MiB live, 312.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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))))
✓	accuracy	99.4%	(.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	29.1%	(fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	accuracy	99.9%	(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
✓	accuracy	99.2%	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	27.7%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	30.0%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	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 (-.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 #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	99.8%	(+.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

147.0ms	186×	1	valid
31.0ms	11×	5	exit
22.0ms	58×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 508 to 49 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-log: 37.0ms (23.2% of total)

ival-div: 33.0ms (20.7% of total)

ival-mult: 21.0ms (13.1% of total)

adjust: 17.0ms (10.6% of total)

ival-add: 16.0ms (10% of total)

ival-log1p: 10.0ms (6.3% of total)

const: 7.0ms (4.4% of total)

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

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

ival-pow2: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series34.0ms (0.3%)

Memory

-3.1MiB live, 34.3MiB allocated

Counts

24 → 288

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 (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))>
#<alt (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))>
#<alt (/.f64 N (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
#<alt (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))>
#<alt (log1p.f64 N)>
#<alt (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))>
#<alt (log.f64 (fma.f64 N N N))>
#<alt (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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))))>
#<alt (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))>
#<alt (.f64 (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))>
#<alt (log.f64 N)>
#<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 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N))))>
#<alt (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 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 (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (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 N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))>
#<alt (+ (* -1/2 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))>
#<alt (+ (* -1/2 (log (/ 1 N))) (+ (* 1/2 (log (/ 1 N))) (/ 1 N)))>
#<alt (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1/8 (pow N 2)) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))>
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#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -5/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 5/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (+ (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (* -1 (log N))>
#<alt (+ (* -1 (log N)) (* N (- (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))))>
#<alt (+ (* -1 (log N)) (* N (- (+ (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (+ (log N) (* -5/3 (pow (log N) 2))) (log N))) (+ (* -1/2 (- (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))) (* 5/3 (log N)))))) (* 1/2 (log N)))))>
#<alt (+ (* -1 (log N)) (* N (- (+ (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* N (- (+ (* -1 (/ (+ (log N) (* -5/3 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (+ (* -1/4 (pow (log N) 2)) (* 13/12 (log N))) (log N))) (+ (* -5/3 (- (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))) (+ (* -1/2 (- (* -1 (/ (+ (log N) (* -5/3 (pow (log N) 2))) (log N))) (+ (* -1/2 (- (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))) (* 5/3 (log N))))) (* 1/4 (log N))))))) (+ (* -1/2 (- (* -1 (/ (+ (* -1 (log N)) (* -1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))) (* 5/3 (log N)))))) (* 1/2 (log N)))))>
#<alt (* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))>
#<alt (- (+ (* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))>
#<alt (- (+ (* 1/5 (/ (+ (log (/ 1 N)) (+ (* -5/2 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))))) (+ (* -1/50 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/5 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))))))>
#<alt (- (+ (* 1/5 (/ (+ (log (/ 1 N)) (+ (* -5/2 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (+ (* 1/5 (/ (+ (* -5/3 (pow (log (/ 1 N)) 2)) (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1/10 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/15 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/50 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (+ (* -5/2 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1/50 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))) (* 1/5 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/5 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N)))))))))))>
#<alt (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 N)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N))))))) (+ 1/2 (* 1/2 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) 1) N)) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -5/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (+ (* 1/2 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 3) (+ (log -1) (* -1 (log (/ -1 N))))))) (* 5/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))))) (+ 1/3 (+ (* -5/3 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))))))) N)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))))) (+ 1/2 (* 1/2 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) 1) N)) (+ (log -1) (* -1 (log (/ -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))))>
#<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 (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ 1/2 (/ 1 (log N))))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))))))))>
#<alt (* 1/2 (log (/ 1 N)))>
#<alt (+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))))>
#<alt (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (pow N 3))) (+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))))>
#<alt (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (* N (pow (log N) 2))>
#<alt (* N (+ (* -1/2 (* N (pow (log N) 2))) (pow (log N) 2)))>
#<alt (* N (+ (* N (+ (* -5/3 (* N (pow (log N) 2))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2)))>
#<alt (* N (+ (* N (+ (* -1/2 (pow (log N) 2)) (* N (+ (* -5/3 (pow (log N) 2)) (* -1/4 (* N (pow (log N) 2))))))) (pow (log N) 2)))>
#<alt (* 5 (pow (log (/ 1 N)) 3))>
#<alt (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))>
#<alt (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))))>
#<alt (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)))>
#<alt (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))>

Calls

72 calls:

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

rewrite315.0ms (3.1%)

Memory

3.4MiB live, 356.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`lower-/.f32`
5 310×	`lower-/.f64`
3 648×	`lower-*.f32`
3 638×	`lower-*.f64`
2 902×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	85	320
1	354	317
2	2896	310
0	8759	292

Stop Event

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

Counts

24 → 893

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

simplify452.0ms (4.4%)

Memory

16.7MiB live, 563.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 066×	`lower-fma.f64`
10 066×	`lower-fma.f32`
7 202×	`lower-+.f64`
7 202×	`lower-+.f32`
4 204×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	953	6967
1	3048	5493
0	8653	5270

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

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)))
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(* N (+ (* N (+ (* -1 (log N)) (+ (* -1/2 (pow (log N) 2)) (* N (+ (log N) (+ (* -5/3 (pow (log N) 2)) (* N (+ (* -1/4 (pow (log N) 2)) (* 13/12 (log N)))))))))) (pow (log N) 2)))
(+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3)))
(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N)))))
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(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 5 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 3)) (+ (/ (log (/ 1 N)) (pow N 2)) (/ (pow (log (/ 1 N)) 2) N))))))))))))
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(* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
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(- (+ (* 1/5 (/ (+ (log (/ 1 N)) (+ (* -5/2 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))) (+ (* 1/5 (/ (+ (* -5/3 (pow (log (/ 1 N)) 2)) (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))) (+ (* -1/10 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/15 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/50 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (+ (* -5/2 (pow (log (/ 1 N)) 2)) (+ (* -1/2 (pow (log (/ 1 N)) 2)) (* 1/2 (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 2))) (+ (* -1/50 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))) (* 1/5 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/5 (/ (- (* 1/5 (/ (+ (* -1 (pow (log (/ 1 N)) 2)) (+ (* 5 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/25 (/ (+ (* -5 (pow (log (/ 1 N)) 3)) (* 5 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N)))))))))))
(/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 N)))
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(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -5/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (+ (* 1/2 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 3) (+ (log -1) (* -1 (log (/ -1 N))))))) (* 5/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))))) (+ 1/3 (+ (* -5/3 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))))))) N)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))))) (+ 1/2 (* 1/2 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) 1) N)) (+ (log -1) (* -1 (log (/ -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))))
(/ 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)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ 1/2 (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))))))))
(* 1/2 (log (/ 1 N)))
(+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N))))
(+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (pow N 3))) (+ (* 1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(* N (pow (log N) 2))
(* N (+ (* -1/2 (* N (pow (log N) 2))) (pow (log N) 2)))
(* N (+ (* N (+ (* -5/3 (* N (pow (log N) 2))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2)))
(* N (+ (* N (+ (* -1/2 (pow (log N) 2)) (* N (+ (* -5/3 (pow (log N) 2)) (* -1/4 (* N (pow (log N) 2))))))) (pow (log N) 2)))
(* 5 (pow (log (/ 1 N)) 3))
(+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))
(+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))))
(* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 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 1/3 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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (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))
(* -4 (pow N 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N #s(literal -16/3 binary64) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N #s(literal 8/9 binary64) #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -112/27 binary64) #s(literal 8/9 binary64)) #s(literal -16/3 binary64)) #s(literal -4 binary64)))
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))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N)) N)) N))
(* N (pow (log N) 2))
(*.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* N (+ (* -1/2 (* N (pow (log N) 2))) (pow (log N) 2)))
(.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(* N (+ (* N (+ (* -5/3 (* N (pow (log N) 2))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2)))
(.f64 N (fma.f64 N (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 #s(literal -5/3 binary64) N #s(literal -1/2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(* N (+ (* N (+ (* -1/2 (pow (log N) 2)) (* N (+ (* -5/3 (pow (log N) 2)) (* -1/4 (* N (pow (log N) 2))))))) (pow (log N) 2)))
(.f64 N (fma.f64 N (fma.f64 N (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) N #s(literal -5/3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(* 5 (pow (log (/ 1 N)) 3))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 5 binary64))
(+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 5 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))
(+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 5 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)))
(+ (* -5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 3)) (/ (pow (log (/ 1 N)) 2) N))))
(fma.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (.f64 N N))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 5 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))))
(* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(neg.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)))
(neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)))
(+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))
(neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (*.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)))) N)) N)))

eval250.0ms (2.4%)

Memory: -10.9MiB live, 335.0MiB allocated
Compiler: Compiled 53 983 to 4 626 computations (91.4% saved)

prune220.0ms (2.1%)

Memory

3.2MiB live, 419.9MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	1 370	23	1 393
Fresh	11	21	32
Picked	1	4	5
Done	1	3	4
Total	1 383	51	1 434

Accuracy

99.7%

Counts

1 434 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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)))))
	25.0%	(fma.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N (.f64 (.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))))) #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)))))
	26.1%	(fma.f64 (pow.f64 (log1p.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)))) (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))))))
✓	26.5%	(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)))))
	25.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (/.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	26.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.2%	(fma.f64 (log1p.f64 N) (/.f64 (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)))) (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))))))
✓	24.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
	25.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))) (neg.f64 (log.f64 (fma.f64 N N N)))))
	26.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
	25.1%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (log.f64 N)))
	25.4%	(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
	25.9%	(/.f64 (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N)))) (.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)))))
	95.5%	(/.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)
	24.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	24.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (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))))
	24.1%	(/.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)))
	95.6%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
	94.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
✓	91.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	25.2%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	94.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	91.3%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	95.6%	(/.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)
	24.6%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	92.2%	(/.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
	25.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.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)))) (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (*.f64 (log1p.f64 N) (log.f64 N))))))
	95.5%	(/.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)))))
▶	95.6%	(/.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))))))
	94.7%	(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
	96.1%	(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
▶	96.2%	(/.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))))
	94.8%	(/.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))))
✓	84.0%	(/.f64 #s(literal 1 binary64) N)
	24.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	95.6%	(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N))
✓	24.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.6%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N)))
	25.9%	(.f64 (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 #s(literal 1 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))))))
	25.9%	(.f64 (/.f64 (fma.f64 (.f64 (log.f64 N) (log1p.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 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
✓	25.4%	(.f64 (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
	23.8%	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N))) (.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))))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
	95.6%	(*.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)))
▶	25.7%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
✓	27.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.7%	(neg.f64 (log.f64 (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
	26.7%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
▶	3.3%	#s(literal 0 binary64)

Compiler

Compiled 2 554 to 1 192 computations (53.3% saved)

simplify199.0ms (1.9%)

Memory

15.0MiB live, 244.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(sqrt.f64 (log.f64 N))
✓	cost-diff	128	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
✓	cost-diff	8000	(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(/.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)))))
✓	cost-diff	704	(/.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))))))
✓	cost-diff	0	(/.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))))
✓	cost-diff	128	(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)))
✓	cost-diff	320	(/.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))
✓	cost-diff	832	(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))

Rules

4 678×	`lower-fma.f32`
4 666×	`lower-fma.f64`
2 744×	`lower-*.f32`
2 740×	`lower-*.f64`
1 410×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	287
0	79	267
1	148	262
2	324	258
3	1009	246
4	3299	246
5	5656	246
6	7437	246
0	8083	246

Stop Event

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

Calls

Call 1

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

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

localize285.0ms (2.8%)

Memory

-53.7MiB live, 299.3MiB allocated

Localize:

Found 16 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	25.0%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	99.8%	(sqrt.f64 (log.f64 N))
✓	accuracy	25.8%	(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
✓	accuracy	99.9%	(/.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))))))
✓	accuracy	99.8%	(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
✓	accuracy	99.5%	(.f64 N (.f64 N N))
✓	accuracy	99.5%	(/.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)))
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.8%	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
✓	accuracy	99.5%	(/.f64 #s(literal -1/24 binary64) N)

Samples

196.0ms	189×	1	valid
25.0ms	64×	0	valid
3.0ms	3×	2	valid

Compiler

Compiled 333 to 49 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-div: 49.0ms (26.9% of total)

ival-neg: 29.0ms (15.9% of total)

adjust: 16.0ms (8.8% of total)

const: 16.0ms (8.8% of total)

ival-add: 16.0ms (8.8% of total)

ival-mult: 15.0ms (8.2% of total)

ival-log: 14.0ms (7.7% of total)

ival-pow: 9.0ms (4.9% of total)

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

ival-pow2: 4.0ms (2.2% of total)

ival-sub: 4.0ms (2.2% of total)

ival-sqrt: 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)

series30.0ms (0.3%)

Memory

10.7MiB live, 54.3MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))>
#<alt (* -1 N)>
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))>
#<alt (* -1 N)>
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))>
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (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 (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 (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -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))))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))>
#<alt (/ 1 N)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 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 (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 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) N)>
#<alt (/ (- (+ 1 (+ (* -4/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (- (+ (* -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 (/ (log (/ 1 N)) (+ (* 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)))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -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 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 1/2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -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 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))) N)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))>
#<alt (* -1 (/ (+ (* -2 (/ (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)))) (+ (* -1 (/ (- (+ (* -1/2 (/ (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)))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (* -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))>
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#<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))>
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#<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 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 (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 N)>
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ 1/12 N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ 1/12 N)>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (/ -1/24 N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt -1/4>
#<alt (- (* 1/3 N) 1/4)>
#<alt (- (* N (+ 1/3 (* -1/2 N))) 1/4)>
#<alt (- (* N (+ 1/3 (* -1/2 N))) 1/4)>
#<alt (* -1/2 (pow N 2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))>
#<alt (* -1/2 (pow N 2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))>
#<alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))>
#<alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow N 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

69 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))
4.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))
4.0ms	N	@	inf	(- (pow (log (+ 1 N)) 3) (pow (log N) 3))
1.0ms	N	@	-inf	(- (pow (log (+ 1 N)) 3) (pow (log N) 3))
1.0ms	N	@	0	(/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))

rewrite416.0ms (4%)

Memory

-2.0MiB live, 515.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 478×	`lower-*.f32`
5 474×	`lower-*.f64`
4 912×	`lower-fma.f32`
4 900×	`lower-fma.f64`
3 496×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	226
0	78	190
1	358	180
2	2823	180
0	9892	177

Stop Event

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

Counts

23 → 775

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 N) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))
(+.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) (neg.f64 N))
(-.f64 (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) N)
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (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)) N) N)) (/.f64 (*.f64 N N) (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)) N) N)))
(-.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)) N) #s(literal 0 binary64)) N)
(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)) N) (neg.f64 N))
(fma.f64 N #s(literal -1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (/.f64 #s(literal -1 binary64) N) N) (neg.f64 N))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N (neg.f64 N))
(fma.f64 #s(literal -1 binary64) N (/.f64 (*.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N))
(fma.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (/.f64 #s(literal -1 binary64) N) (neg.f64 N))
(fma.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N))
(neg.f64 (fma.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N))) (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (.f64 N (*.f64 N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)) N) N) (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N))))
(/.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (.f64 N (.f64 N N)))) (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))))
(/.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (.f64 N (.f64 N N)))) (fma.f64 N N (/.f64 (-.f64 (.f64 (/.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (neg.f64 N))) (neg.f64 N))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N)) (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)) N) N))
(/.f64 (neg.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))) (.f64 N (.f64 N N))))) (neg.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (/.f64 (.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N))) (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)) N) N)))
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(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) N) #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(.f64 N (.f64 N N))
(.f64 N (neg.f64 (.f64 N N)))
(.f64 (neg.f64 N) (.f64 N N))
(.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))
(.f64 (.f64 N N) N)
(.f64 (.f64 N N) (neg.f64 N))
(.f64 (.f64 N (*.f64 N N)) #s(literal 1 binary64))
(.f64 (.f64 N (*.f64 N N)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 N (*.f64 N N)))
(.f64 (neg.f64 (.f64 N N)) N)
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 N (*.f64 N N)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 N (neg.f64 N)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(+.f64 #s(literal -1/4 binary64) (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))))
(+.f64 (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 N N)) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(+.f64 (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 N N))) (*.f64 N #s(literal 1/3 binary64)))
(-.f64 (/.f64 (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))))) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(fma.f64 N (*.f64 N #s(literal -1/2 binary64)) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 N #s(literal -1/2 binary64)) N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))))
(/.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)) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))))) (.f64 N (*.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64)) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))))) (-.f64 #s(literal -1/4 binary64) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 N (*.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)))))))
(.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 N))) #s(literal 6 binary64)))
(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))))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 6 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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/4 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 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 5/2 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 (log.f64 N) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 5/2 binary64)) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 N))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 N))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log1p.f64 N))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (log1p.f64 N) (neg.f64 (log1p.f64 N))))
(neg.f64 (*.f64 (neg.f64 (log1p.f64 N)) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.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 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (log1p.f64 N) (neg.f64 (log1p.f64 N))))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (log1p.f64 N) (neg.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 N))

simplify401.0ms (3.9%)

Memory

27.6MiB live, 698.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 290×	`lower-fma.f64`
10 290×	`lower-fma.f32`
5 948×	`lower-+.f64`
5 948×	`lower-+.f32`
4 736×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	708	7008
1	2267	5783
0	8210	5525

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

Calls

Call 1

Inputs
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) 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)))
(* 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))
(/ -1/4 (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))
(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 (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))
(sqrt (log N))
(sqrt (log N))
(sqrt (log N))
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(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))) (/ 1 (pow N 3))) N)
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -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))
(* -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 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) 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 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))
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))))
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/24 N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(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
(- (* 1/3 N) 1/4)
(- (* N (+ 1/3 (* -1/2 N))) 1/4)
(- (* N (+ 1/3 (* -1/2 N))) 1/4)
(* -1/2 (pow N 2))
(* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))
(* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))
(* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))
(* -1/2 (pow N 2))
(* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))
(* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))
(* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(* -1 (pow (log (/ 1 N)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow N 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))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (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))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 #s(literal -1/2 binary64) (neg.f64 N)) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N))
(* -1 N)
(neg.f64 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(*.f64 N (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
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(* -1 N)
(neg.f64 N)
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(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
(neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) N))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
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(/ -1/24 (pow N 3))
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(/ -1/2 N)
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(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
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(/ (+ 1/24 (* -1/12 N)) (pow N 2))
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(/ (+ 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)
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(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
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(* 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)))
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(* 24 (pow N 2))
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(* (pow N 2) (+ 24 (* 48 N)))
(.f64 (.f64 N N) (fma.f64 N #s(literal 48 binary64) #s(literal 24 binary64)))
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1/12
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eval232.0ms (2.2%)

Memory: -12.4MiB live, 249.2MiB allocated
Compiler: Compiled 33 862 to 3 820 computations (88.7% saved)

prune181.0ms (1.8%)

Memory

-0.0MiB live, 412.2MiB allocated

Pruning

53 alts after pruning (45 fresh and 8 done)

	Pruned	Kept	Total
New	1 241	17	1 258
Fresh	11	28	39
Picked	4	1	5
Done	0	7	7
Total	1 256	53	1 309

Accuracy

99.7%

Counts

1 309 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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)))))
	25.0%	(fma.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N (.f64 (.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))))) #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)))))
	26.1%	(fma.f64 (pow.f64 (log1p.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)))) (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))))))
✓	26.5%	(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)))))
	25.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (/.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	26.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.7%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
✓	24.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
	25.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))) (neg.f64 (log.f64 (fma.f64 N N N)))))
	26.4%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
	26.1%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 N)) (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%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (log.f64 N)))
	25.4%	(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 N)))
	25.9%	(/.f64 (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N)))) (.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)))))
	24.1%	(/.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)) (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 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))))))))
	24.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #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))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.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))))
	24.1%	(/.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)))
	94.3%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
✓	91.5%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	25.2%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	94.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	91.3%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	24.6%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	92.2%	(/.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
	96.0%	(/.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)))
	25.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.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)))) (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (*.f64 (log1p.f64 N) (log.f64 N))))))
	96.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.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 (.f64 N N))) (neg.f64 N))))
	96.0%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (/.f64 (neg.f64 N) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 (+.f64 #s(literal 0 binary64) N) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) N) (/.f64 (neg.f64 N) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
	96.1%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) N (.f64 (+.f64 #s(literal 0 binary64) N) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N))))
	96.1%	(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 N (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))
	96.1%	(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
	92.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))
✓	84.0%	(/.f64 #s(literal 1 binary64) N)
	24.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
✓	24.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.6%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N)))
	25.9%	(.f64 (fma.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 #s(literal 1 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))))))
	25.9%	(.f64 (/.f64 (fma.f64 (.f64 (log.f64 N) (log1p.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 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
✓	25.4%	(.f64 (/.f64 (fma.f64 (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log1p.f64 N)) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (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 #s(literal 1 binary64) (log.f64 N)))
	23.8%	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log1p.f64 N) (log.f64 N))) (.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))))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
	7.4%	(.f64 (.f64 N N) #s(literal 24 binary64))
	25.2%	(neg.f64 (fma.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 N))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
	26.0%	(neg.f64 (fma.f64 (sqrt.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (log.f64 N))) (neg.f64 (log1p.f64 N))))
	24.1%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N))))
	27.2%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))))
✓	27.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.7%	(neg.f64 (log.f64 (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
	26.7%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 3 993 to 1 094 computations (72.6% saved)

regimes57.0ms (0.5%)

Memory

-1.6MiB live, 37.4MiB allocated

Counts

92 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.3%	2	`N`
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes30.0ms (0.3%)

Memory

-11.0MiB live, 27.4MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

(/.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))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`N`
99.3%	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

20.5MiB live, 20.5MiB 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 (+.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) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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 (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 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.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 (.f64 N N))) (neg.f64 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 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(/.f64 #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 1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 N (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) N (.f64 (+.f64 #s(literal 0 binary64) N) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

(/.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))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.2%)

Memory

-7.4MiB live, 29.9MiB 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 (+.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) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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 (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 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.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 (.f64 N N))) (neg.f64 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 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(/.f64 #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 1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 N (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) N (.f64 (+.f64 #s(literal 0 binary64) N) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N))))

Outputs
(/.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))))

Calls

2 calls:

10.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.2%	1	`N`
96.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`N`
96.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Memory

-16.7MiB live, 21.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.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)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.0%	1	`N`
96.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.3%	1	`N`
94.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

-33.9MiB live, 9.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms	N

Results

Accuracy	Segments	Branch
92.2%	1	`N`
92.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 (.f64 N N) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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
91.5%	1	`N`
91.5%	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

6.6MiB live, 6.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N 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
91.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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
84.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
84.0%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
7.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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	`N`
3.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008598510412038962	0.0016315588644078005

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	0.0008598510412038962	0.0016315588644078005

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008598510412038962	0.0016315588644078005

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify40.0ms (0.4%)

Memory

-20.2MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Rules

256×	`distribute-lft-neg-in_binary64`
250×	`neg-mul-1_binary64`
174×	`neg-sub0_binary64`
158×	`unsub-neg_binary64`
148×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	217
1	105	217
2	148	211
3	194	207
4	299	207
5	447	207
6	537	207
7	644	207
8	773	207
9	927	207
10	1051	207
11	1114	207
12	1135	207
13	1137	207

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

soundness1.6s (15.4%)

Memory

17.4MiB live, 1 259.1MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
10 290×	`lower-fma.f64`
10 290×	`lower-fma.f32`
10 066×	`lower-fma.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
0	41	226
0	78	190
1	358	180
2	2823	180
0	9892	177
0	43	251
0	85	216
1	365	213
2	3064	213
0	10356	213
0	708	7008
1	2267	5783
0	8210	5525
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	44	333
0	85	320
1	354	317
2	2896	310
0	8759	292
0	953	6967
1	3048	5493
0	8653	5270

Stop Event

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

Compiler

Compiled 484 to 263 computations (45.7% saved)

preprocess110.0ms (1.1%)

Memory: -9.5MiB live, 186.2MiB allocated
Compiler: Compiled 512 to 198 computations (61.3% 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 (12.5%)

preprocess24.0ms (0.2%)

explain123.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize42.0ms (0.4%)

series51.0ms (0.5%)

rewrite316.0ms (3.1%)

simplify400.0ms (3.9%)

eval69.0ms (0.7%)

prune150.0ms (1.5%)

simplify503.0ms (4.9%)

localize376.0ms (3.6%)

series56.0ms (0.5%)

rewrite669.0ms (6.5%)

simplify448.0ms (4.3%)

eval158.0ms (1.5%)

prune134.0ms (1.3%)

simplify291.0ms (2.8%)

localize281.0ms (2.7%)

series34.0ms (0.3%)

rewrite315.0ms (3.1%)

simplify452.0ms (4.4%)

eval250.0ms (2.4%)

prune220.0ms (2.1%)

simplify199.0ms (1.9%)

localize285.0ms (2.8%)

series30.0ms (0.3%)

rewrite416.0ms (4%)

simplify401.0ms (3.9%)

eval232.0ms (2.2%)

prune181.0ms (1.8%)

regimes57.0ms (0.5%)

regimes30.0ms (0.3%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify40.0ms (0.4%)

soundness1.6s (15.4%)

preprocess110.0ms (1.1%)

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