Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (13.6%)

Memory

28.4MiB live, 1 566.4MiB allocated

Samples

811.0ms	6 386×	1	valid
120.0ms	1 870×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-log1p: 270.0ms (37.8% of total)

ival-log: 198.0ms (27.7% of total)

adjust: 113.0ms (15.8% of total)

ival-sub: 67.0ms (9.4% of total)

ival->: 27.0ms (3.8% of total)

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

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

exact: 9.0ms (1.3% of total)

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

Bogosity

preprocess23.0ms (0.3%)

Memory

-6.1MiB live, 30.5MiB 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))

explain119.0ms (1.3%)

Memory

20.4MiB live, 217.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
246	2	(96.57315195971096)	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	-	`N`
0	0	-	-	`(log.f64 N)`
0	0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	246	0
-	2	8

Precision

0.9919354838709677

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	246	0	0
-	2	1	7

Precision?

0.9879518072289156

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	412×	1	valid
9.0ms	100×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

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

ival-log1p: 16.0ms (34.8% of total)

ival-log: 14.0ms (30.5% of total)

adjust: 9.0ms (19.6% of total)

ival-sub: 4.0ms (8.7% of total)

ival-add: 3.0ms (6.5% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.8%	(-.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

14.2MiB live, 14.2MiB 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)

localize47.0ms (0.5%)

Memory

-20.6MiB live, 74.0MiB 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 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	21.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

36.0ms	206×	1	valid
3.0ms	50×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-log1p: 15.0ms (49.9% of total)

ival-log: 8.0ms (26.6% of total)

adjust: 4.0ms (13.3% of total)

ival-sub: 2.0ms (6.7% of total)

ival-add: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

13.5MiB live, 87.1MiB 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
25.0ms	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))

rewrite359.0ms (3.9%)

Memory

4.7MiB live, 468.5MiB 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 (/.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))

simplify307.0ms (3.4%)

Memory

-13.5MiB live, 482.7MiB 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)))

eval59.0ms (0.6%)

Memory: 13.3MiB live, 129.4MiB allocated
Compiler: Compiled 13 648 to 1 544 computations (88.7% saved)

prune108.0ms (1.2%)

Memory

-42.2MiB live, 133.3MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	447	23	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	448	23	471

Accuracy

99.6%

Counts

471 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(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))))))
	23.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	19.8%	(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)))))
	23.0%	(/.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)))
	23.2%	(/.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)))
▶	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	21.8%	(/.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)))))
	21.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.7%	(/.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))))
	21.7%	(/.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))))
	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
▶	96.5%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
	95.4%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	25.0%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
▶	86.0%	(/.f64 #s(literal 1 binary64) N)
	21.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (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)))))))
	21.8%	(-.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))))))
	21.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.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 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	24.6%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
▶	24.6%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.6%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Compiler

Compiled 1 440 to 598 computations (58.5% saved)

simplify351.0ms (3.8%)

Memory

18.6MiB live, 406.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
✓	cost-diff	6592	(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)))))
✓	cost-diff	21632	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
✓	cost-diff	15232	(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)))))
✓	cost-diff	0	(-.f64 (*.f64 N N) N)
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	cost-diff	704	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)

Rules

11 902×	`lower-fma.f32`
11 890×	`lower-fma.f64`
3 096×	`lower-+.f32`
3 090×	`lower-+.f64`
2 808×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	493
0	100	472
1	163	472
2	307	456
3	728	454
4	1848	422
5	6274	419
0	8121	418

Stop Event

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

Calls

Call 1

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

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

localize350.0ms (3.8%)

Memory

29.0MiB live, 422.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	99.1%	(pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64))
✓	accuracy	99.1%	(pow.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) #s(literal 2 binary64))
✓	accuracy	23.5%	(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)))))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.1%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	24.6%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	24.5%	(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)))))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.8%	(-.f64 (*.f64 N N) N)
✓	accuracy	99.7%	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	25.1%	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

214.0ms	213×	1	valid
21.0ms	43×	0	valid

Compiler

Compiled 557 to 55 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-log: 49.0ms (25.4% of total)

ival-div: 27.0ms (14% of total)

adjust: 21.0ms (10.9% of total)

ival-log1p: 21.0ms (10.9% of total)

ival-mult: 18.0ms (9.3% of total)

ival-add: 18.0ms (9.3% of total)

ival-pow2: 16.0ms (8.3% of total)

ival-sub: 8.0ms (4.1% of total)

const: 7.0ms (3.6% of total)

ival-neg: 5.0ms (2.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series101.0ms (1.1%)

Memory

-23.7MiB live, 50.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (* -1 N)>
#<alt (* N (- N 1))>
#<alt (* N (- N 1))>
#<alt (* N (- N 1))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* -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))>
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#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -2 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -3 (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) (* -1 (log (/ -1 N)))) (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (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)))))) (+ (* 4 (/ (log (/ -1 N)) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 3))) (* 4 (/ (pow (log (/ -1 N)) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 4))))))) (+ (* -5/3 (/ (+ (* -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))))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ 1 (* -2 (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))) (+ (* 1/2 (/ (- (+ (* 4 (/ (log (/ -1 N)) (+ (log -1) (* -5 (log (/ -1 N)))))) (* 4 (/ (pow (log (/ -1 N)) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2)))) (/ (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))) (+ (log -1) (* -5 (log (/ -1 N)))))) (+ (* 8/3 (/ (log (/ -1 N)) (+ (log -1) (* -5 (log (/ -1 N)))))) (+ (/ 1 (+ (log -1) (* -5 (log (/ -1 N))))) (/ (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 4))))))))) N)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (log -1) (* -5 (log (/ -1 N)))))) (/ (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 3))))) (+ (* 1/2 (/ (+ (* -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))))) (* (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2) (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* 4 (/ (log (/ -1 N)) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))) (* 4 (/ (pow (log (/ -1 N)) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 3)))))) N)) (+ (* 4 (/ (log (/ -1 N)) (+ (log -1) (* -5 (log (/ -1 N)))))) (* 4 (/ (pow (log (/ -1 N)) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))))) (/ (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (pow (+ (log -1) (* -5 (log (/ -1 N)))) 2))) N)) (/ (- (pow (+ (log -1) (* -3 (log (/ -1 N)))) 2) (* 4 (pow (log (/ -1 N)) 2))) (+ (log -1) (* -5 (log (/ -1 N)))))))>
#<alt (* N (pow (log N) 2))>
#<alt (* N (+ (* N (+ (* -1 (log N)) (* -1/2 (pow (log N) 2)))) (pow (log N) 2)))>
#<alt (* N (+ (* N (+ (* -1 (log N)) (+ (* -1/2 (pow (log N) 2)) (* N (+ (log N) (* -5/3 (pow (log N) 2))))))) (pow (log N) 2)))>
#<alt (* 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)))>
#<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 (log N) 2))>
#<alt (* -1 (pow (log N) 2))>
#<alt (* -1 (pow (log N) 2))>
#<alt (* -1 (pow (log N) 2))>
#<alt (* -1 (pow (log (/ 1 N)) 2))>
#<alt (* -1 (pow (log (/ 1 N)) 2))>
#<alt (* -1 (pow (log (/ 1 N)) 2))>
#<alt (* -1 (pow (log (/ 1 N)) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<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 (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (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)))>
#<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))>

Calls

66 calls:

Time	Variable		Point	Expression
30.0ms	N	@	-inf	(+ (* (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (+ (* N N) N)))) (log (/ (+ N 1) N))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
5.0ms	N	@	-inf	(/ (+ (* (neg (pow (log N) 2)) (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N)))) (* (log N) (- (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)))))
3.0ms	N	@	inf	(/ (+ (* (neg (pow (log N) 2)) (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N)))) (* (log N) (- (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)))))
3.0ms	N	@	inf	(+ (* (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (+ (* N N) N)))) (log (/ (+ N 1) N))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
2.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (+ (* N N) N))))

rewrite310.0ms (3.4%)

Memory

18.2MiB live, 458.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 118×	`lower-/.f32`
4 098×	`lower-/.f64`
3 294×	`lower-*.f32`
3 282×	`lower-*.f64`
2 610×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	288
0	100	276
1	410	250
2	3491	243
0	8913	243

Stop Event

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

Counts

22 → 742

Calls

Call 1

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

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

simplify441.0ms (4.8%)

Memory

-2.7MiB live, 668.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 456×	`lower-fma.f64`
8 456×	`lower-fma.f32`
6 624×	`lower-+.f64`
6 624×	`lower-+.f32`
4 522×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	957	7837
1	3018	7361
0	8224	7011

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

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

eval172.0ms (1.9%)

Memory: 10.6MiB live, 355.9MiB allocated
Compiler: Compiled 48 498 to 4 208 computations (91.3% saved)

prune158.0ms (1.7%)

Memory

-2.4MiB live, 367.0MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 133	19	1 152
Fresh	6	12	18
Picked	1	4	5
Done	0	0	0
Total	1 140	35	1 175

Accuracy

99.8%

Counts

1 175 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(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))))))
	23.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	19.8%	(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)))))
	85.9%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
▶	23.5%	(/.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) (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 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	96.0%	(/.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)))
	96.3%	(/.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)
	96.4%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))) N)
	96.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))))) N)
	21.8%	(/.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)))))
	21.7%	(/.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)))
▶	96.5%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
	19.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	95.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	95.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	96.5%	(/.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)
	25.0%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
▶	96.5%	(/.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))))
✓	86.0%	(/.f64 #s(literal 1 binary64) N)
	21.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (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)))))))
	21.8%	(-.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))))))
▶	21.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.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 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	96.4%	(*.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)))
	24.6%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
	23.5%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
	95.4%	(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
	24.2%	(neg.f64 (-.f64 (log.f64 (-.f64 (/.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (/.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	23.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.6%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	23.0%	(exp.f64 (.f64 (log.f64 (/.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 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)) (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)))))))) #s(literal -1 binary64)))

Compiler

Compiled 2 068 to 839 computations (59.4% saved)

simplify304.0ms (3.3%)

Memory

26.6MiB live, 302.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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	(.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))
✓	cost-diff	14784	(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) (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))))))
✓	cost-diff	30464	(/.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) (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 N) (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 N)
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	cost-diff	320	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
✓	cost-diff	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

10 284×	`lower-fma.f32`
10 278×	`lower-fma.f64`
3 436×	`lower-*.f32`
3 426×	`lower-*.f64`
1 922×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	412
0	74	348
1	130	334
2	245	328
3	690	328
4	2088	328
5	6293	328
0	8072	328

Stop Event

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

Calls

Call 1

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

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

localize302.0ms (3.3%)

Memory

-16.3MiB live, 229.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.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) (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 N) (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 (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	99.1%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	23.8%	(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) (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))))))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	21.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	accuracy	99.9%	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
✓	accuracy	100.0%	(/.f64 #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 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
✓	accuracy	99.9%	(/.f64 #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	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

143.0ms	199×	1	valid
17.0ms	57×	0	valid

Compiler

Compiled 453 to 43 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-div: 43.0ms (34.3% of total)

adjust: 15.0ms (12% of total)

ival-mult: 15.0ms (12% of total)

ival-log: 13.0ms (10.4% of total)

ival-sub: 10.0ms (8% of total)

ival-add: 9.0ms (7.2% of total)

ival-log1p: 8.0ms (6.4% of total)

const: 7.0ms (5.6% of total)

ival-pow2: 4.0ms (3.2% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series26.0ms (0.3%)

Memory

-20.4MiB live, 17.6MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ -1/4 (pow N 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 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<alt (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<alt (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<alt (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<alt (- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))>
#<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 (+ (* -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 (/ (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))) (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 N)>
#<alt (/ (- (+ 1 (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (/ 1/5 (* N (log (/ 1 N))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/10 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (/ 1/5 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (+ (* -5/3 (log (/ 1 N))) (+ (* -5/4 (pow (log (/ 1 N)) 2)) (+ (* 1/4 (log (/ 1 N))) (* 1/3 (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/3 (* (pow N 3) (log (/ 1 N)))) (* 1/10 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/10 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/5 (/ (- (+ (* 1/10 (/ 1 (log (/ 1 N)))) (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2)))) (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (/ 1/5 (* N (log (/ 1 N)))))))) N)>
#<alt (/ 1 N)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/12 (/ 1 (+ (log -1) (* -5 (log (/ -1 N)))))) (+ 1/4 (* 17/12 (/ 1 (+ (log -1) (* -5 (log (/ -1 N)))))))) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* N (pow (log N) 2))>
#<alt (* N (- (* N (- (* -1 (log N)) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))>
#<alt (* N (- (* N (- (+ (* -1 (log N)) (* N (- (log N) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))>
#<alt (* N (- (* N (- (+ (* -1 (log N)) (* N (- (+ (log N) (* N (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))))) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))>
#<alt (* 5 (/ (pow (log (/ 1 N)) 2) N))>
#<alt (/ (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) N)>
#<alt (/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)>
#<alt (/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -5/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -5/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)>
#<alt (/ (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) N)>
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N))>
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))>
#<alt (* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/4 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (+ (log -1) (* -1 (log (/ -1 N))))) (* 5/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))>
#<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 (* 5 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))>
#<alt (- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (/ 1 (pow N 2)))>
#<alt (- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -10/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 3)) (/ (log (/ 1 N)) N))))))) (/ 1 (pow N 2)))>
#<alt (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -5 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -5/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -5 (log (/ -1 N)))))) 1) N)) (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))>
#<alt (* -1 N)>
#<alt (* N (- (* 1/2 N) 1))>
#<alt (* N (- (* N (+ 1/2 (* 5/3 N))) 1))>
#<alt (* N (- (* N (+ 1/2 (* N (+ 5/3 (* 1/4 N))))) 1))>
#<alt (* -5 (log (/ 1 N)))>
#<alt (- (* -5 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -5 (log (/ 1 N))) (/ 1/2 (pow N 2))) (/ 1 N))>
#<alt (- (+ (* -5 (log (/ 1 N))) (+ (/ 1/2 (pow N 2)) (* 5/3 (/ 1 (pow N 3))))) (/ 1 N))>
#<alt (+ (log -1) (* -5 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -5 (log (/ -1 N)))) (/ 1 N))>
#<alt (+ (log -1) (+ (* -5 (log (/ -1 N))) (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))>
#<alt (+ (log -1) (+ (* -5 (log (/ -1 N))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 5/3 (/ 1 N))) N))) N))))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (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 (* N (pow (log N) 2)))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* 1/2 (* N (pow (log N) 2)))))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* 5/3 (* N (pow (log N) 2)))))))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* N (+ (* 1/4 (* N (pow (log N) 2))) (* 5/3 (pow (log N) 2))))))))>
#<alt (* -5 (pow (log (/ 1 N)) 3))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (* -1 (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))>
#<alt (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (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 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (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 (/ (+ (* -1 (/ (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>

Calls

69 calls:

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

rewrite426.0ms (4.7%)

Memory

18.1MiB live, 218.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 730×	`lower-/.f32`
4 708×	`lower-/.f64`
2 932×	`lower-*.f32`
2 922×	`lower-*.f64`
2 422×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	299
0	74	285
1	335	257
2	2902	257
0	8214	244

Stop Event

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

Counts

23 → 1 050

Calls

Call 1

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

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 #s(literal -1/2 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) 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 -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))
(-.f64 (/.f64 #s(literal 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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) N) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.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 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) N) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) N))
(-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (.f64 N (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 N N))))) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 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)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 N (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (.f64 N (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) N) (.f64 N N)) (/.f64 (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (*.f64 N N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.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 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.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 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))) (/.f64 (.f64 (/.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 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) 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 -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) 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))
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(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) N) (.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) N)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64)) (.f64 (.f64 N 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 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) (.f64 (*.f64 N 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))) (.f64 N 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)) (.f64 N N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 N N))
(/.f64 (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (.f64 N (neg.f64 N)))
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #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 (*.f64 N (neg.f64 N))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64))) (neg.f64 (.f64 (.f64 N 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 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64))) (neg.f64 (.f64 (*.f64 N 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)) (/.f64 #s(literal 1 binary64) (.f64 N 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) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(/.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 #s(literal 1/16 binary64) (.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 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)) (.f64 N N))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (*.f64 N (neg.f64 N)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 N (neg.f64 N))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1 binary64))) (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) (.f64 N N)))) (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 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (*.f64 N 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))) N) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (/.f64 #s(literal 1 binary64) N))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal 1 binary64))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 N (neg.f64 N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 N (.f64 N N))) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(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)))
(+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log1p.f64 (.f64 N (.f64 N N)))) (.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))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log1p.f64 (.f64 N (.f64 N N))) (.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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (log1p.f64 (-.f64 (.f64 N N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(.f64 (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)))))
(.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 (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 (.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)))) (log.f64 N))

simplify468.0ms (5.1%)

Memory

19.9MiB live, 373.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 290×	`lower-fma.f64`
7 290×	`lower-fma.f32`
4 130×	`lower-*.f64`
4 130×	`lower-*.f32`
3 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	3837
1	1780	3403
2	5943	3349
0	8265	3188

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(* -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))
(+ (* -1 (log N)) (* N (- (* -1 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 1/2 (log N)))))
(+ (* -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)))))
(+ (* -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 (/ (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))) (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)))))
(/ 1 N)
(/ (- (+ 1 (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))) (/ 1/5 (* N (log (/ 1 N))))) N)
(/ (- (+ 1 (+ (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/10 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (/ 1/5 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (+ (* -5/3 (log (/ 1 N))) (+ (* -5/4 (pow (log (/ 1 N)) 2)) (+ (* 1/4 (log (/ 1 N))) (* 1/3 (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/3 (* (pow N 3) (log (/ 1 N)))) (* 1/10 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/10 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/5 (/ (- (+ (* 1/10 (/ 1 (log (/ 1 N)))) (* 1/5 (/ (- (+ (* -1 (log (/ 1 N))) (* 10/3 (pow (log (/ 1 N)) 2))) (* 5/3 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2)))) (* 1/5 (/ (- (* 1/5 (/ (+ (log (/ 1 N)) (* -5/2 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (* 1/5 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (/ 1/5 (* N (log (/ 1 N)))))))) 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 (/ (- (* 17/12 (/ 1 (+ (log -1) (* -5 (log (/ -1 N)))))) (+ 1/4 (* 17/12 (/ 1 (+ (log -1) (* -5 (log (/ -1 N)))))))) N)) 1/3) N)) 1/2) N)) 1) N))
(* N (pow (log N) 2))
(* N (- (* N (- (* -1 (log N)) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (log N) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (+ (log N) (* N (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))))) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* 5 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)
(/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -5/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -5/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)
(/ (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) N)
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N))
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/4 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (+ (log -1) (* -1 (log (/ -1 N))))) (* 5/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))
(* -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))
(* 5 (pow (log (/ 1 N)) 2))
(+ (* -5 (/ (log (/ 1 N)) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))
(- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (/ 1 (pow N 2)))
(- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -10/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 3)) (/ (log (/ 1 N)) N))))))) (/ 1 (pow N 2)))
(* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -5 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -5/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -5 (log (/ -1 N)))))) 1) N)) (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(* -1 N)
(* N (- (* 1/2 N) 1))
(* N (- (* N (+ 1/2 (* 5/3 N))) 1))
(* N (- (* N (+ 1/2 (* N (+ 5/3 (* 1/4 N))))) 1))
(* -5 (log (/ 1 N)))
(- (* -5 (log (/ 1 N))) (/ 1 N))
(- (+ (* -5 (log (/ 1 N))) (/ 1/2 (pow N 2))) (/ 1 N))
(- (+ (* -5 (log (/ 1 N))) (+ (/ 1/2 (pow N 2)) (* 5/3 (/ 1 (pow N 3))))) (/ 1 N))
(+ (log -1) (* -5 (log (/ -1 N))))
(- (+ (log -1) (* -5 (log (/ -1 N)))) (/ 1 N))
(+ (log -1) (+ (* -5 (log (/ -1 N))) (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
(+ (log -1) (+ (* -5 (log (/ -1 N))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 5/3 (/ 1 N))) N))) N))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(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 (* N (pow (log N) 2)))
(* N (+ (* -1 (pow (log N) 2)) (* 1/2 (* N (pow (log N) 2)))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* 5/3 (* N (pow (log N) 2)))))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* N (+ (* 1/4 (* N (pow (log N) 2))) (* 5/3 (pow (log N) 2))))))))
(* -5 (pow (log (/ 1 N)) 3))
(+ (* -5 (pow (log (/ 1 N)) 3)) (* -1 (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))
(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))
(* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (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 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 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 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) 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))))
(+.f64 N #s(literal 1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)) (neg.f64 N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
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(* -5 (log (/ 1 N)))
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-1/3
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-1/3
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(- (* 1/4 (/ 1 N)) 1/3)
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(/ 1/4 (pow N 3))
(/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
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(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
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(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
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(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))
(* -1 (* N (pow (log N) 2)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 N))
(* N (+ (* -1 (pow (log N) 2)) (* 1/2 (* N (pow (log N) 2)))))
(.f64 N (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* 5/3 (* N (pow (log N) 2)))))))
(.f64 N (-.f64 (.f64 N (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 N #s(literal 5/3 binary64) #s(literal 1/2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* N (+ (* 1/4 (* N (pow (log N) 2))) (* 5/3 (pow (log N) 2))))))))
(.f64 N (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (.f64 N N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 N #s(literal 1/4 binary64) #s(literal 5/3 binary64))))))
(* -5 (pow (log (/ 1 N)) 3))
(neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -5 binary64)))
(+ (* -5 (pow (log (/ 1 N)) 3)) (* -1 (/ (pow (log (/ 1 N)) 2) N)))
(-.f64 (neg.f64 (*.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 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N)) (-.f64 (neg.f64 (.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)))
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(fma.f64 #s(literal -5 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (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)) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 N)))))
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(+ (* -1 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(-.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) N) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(-.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -5 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 5/3 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) N) (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)))) N)) N))

eval338.0ms (3.7%)

Memory: 20.6MiB live, 404.4MiB allocated
Compiler: Compiled 62 589 to 4 417 computations (92.9% saved)

prune299.0ms (3.3%)

Memory

-24.0MiB live, 400.7MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1 516	12	1 528
Fresh	9	17	26
Picked	2	3	5
Done	0	4	4
Total	1 527	36	1 563

Accuracy

99.8%

Counts

1 563 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.8%	(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)))))
▶	21.3%	(/.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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))
✓	23.5%	(/.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) (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 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	22.8%	(/.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)) (exp.f64 (log.f64 (log.f64 N))) (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 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	96.3%	(/.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)
	96.4%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))) N)
	21.8%	(/.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)))))
	21.7%	(/.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)))
▶	96.5%	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)
	19.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	95.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
✓	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	92.8%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	96.5%	(/.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)
	25.0%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	21.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) 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)))))
	96.3%	(/.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)))))
	95.9%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
▶	96.9%	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
▶	93.7%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	96.8%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))
	95.8%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)) (neg.f64 N)))
✓	86.0%	(/.f64 #s(literal 1 binary64) N)
	21.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (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)))))))
	21.8%	(-.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))))))
✓	21.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.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 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	24.6%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
▶	23.5%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
	24.2%	(neg.f64 (-.f64 (log.f64 (-.f64 (/.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (/.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	23.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.6%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))

Compiler

Compiled 1 983 to 839 computations (57.7% saved)

simplify267.0ms (2.9%)

Memory

6.9MiB live, 520.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.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))
✓	cost-diff	128	(neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
✓	cost-diff	13440	(/.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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))
✓	cost-diff	14784	(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) (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))))))
✓	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 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64)))
✓	cost-diff	64	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)
✓	cost-diff	0	(+.f64 N #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
✓	cost-diff	0	(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
✓	cost-diff	1344	(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))

Rules

9 320×	`lower-fma.f32`
9 308×	`lower-fma.f64`
4 372×	`lower-*.f32`
4 358×	`lower-*.f64`
1 422×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	535
0	100	477
1	191	448
2	418	443
3	1321	431
4	4506	425
0	8141	425

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
#s(literal 1 binary64)
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
N
(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))
#s(literal 1/24 binary64)
(.f64 N (.f64 N N))
(*.f64 N N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/12 binary64) N)
#s(literal -1/12 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
(fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(.f64 N (.f64 N N))
(*.f64 N N)
#s(literal 1 binary64)
(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 (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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))
(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) (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))) (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))
N
(*.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)
(log.f64 N)
(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 (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))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (log.f64 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N))))))
(fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))))
#s(literal 5 binary64)
(+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N)))
#s(literal 5/3 binary64)
(.f64 N (.f64 N N))
(neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(+.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

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

localize309.0ms (3.4%)

Memory

-4.0MiB live, 554.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))
✓	accuracy	99.4%	(.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	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	24.2%	(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) (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))))))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	99.8%	(sqrt.f64 (log.f64 N))
✓	accuracy	23.7%	(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
✓	accuracy	99.9%	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.6%	(fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.5%	(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.4%	(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/12 binary64) N)

Samples

183.0ms	198×	1	valid
28.0ms	57×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 586 to 59 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 32.0ms (18.7% of total)

ival-add: 31.0ms (18.1% of total)

ival-mult: 25.0ms (14.6% of total)

adjust: 20.0ms (11.7% of total)

const: 16.0ms (9.4% of total)

ival-log: 14.0ms (8.2% of total)

ival-log1p: 9.0ms (5.3% of total)

ival-sub: 8.0ms (4.7% of total)

ival-neg: 7.0ms (4.1% of total)

ival-pow2: 4.0ms (2.3% of total)

ival-sqrt: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series20.0ms (0.2%)

Memory

-6.9MiB live, 32.0MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))>
#<alt (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))>
#<alt (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))>
#<alt (+.f64 N #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)>
#<alt (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) N)>
#<alt (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))>
#<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 (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) (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))))))>
#<alt (/.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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))>
#<alt (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 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))) (log1p.f64 N))>
#<alt (/.f64 #s(literal -1/12 binary64) N)>
#<alt (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))>
#<alt (.f64 N (.f64 N N))>
#<alt (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))>
#<alt (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64))>
#<alt (log1p.f64 N)>
#<alt (pow.f64 (log.f64 N) #s(literal 2 binary64))>
#<alt (.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))))>

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1/24 (pow N 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 (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
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#<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 (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 (* N (pow (log N) 2)))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* 1/2 (* N (pow (log N) 2)))))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* 5/3 (* N (pow (log N) 2)))))))>
#<alt (* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* N (+ (* 1/4 (* N (pow (log N) 2))) (* 5/3 (pow (log N) 2))))))))>
#<alt (* -5 (pow (log (/ 1 N)) 3))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (* -1 (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))>
#<alt (+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))>
#<alt (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (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 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (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 (/ (+ (* -1 (/ (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	N	@	inf	(/ (- (/ -1/2 N) (- (/ (+ (* N -1/3) 1/4) (* N (* N N))) 1)) N)
2.0ms	N	@	-inf	(/ (+ (* (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (log (+ 1 N))) (log N)) (neg (* (pow (log N) 2) (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N)))))) (* (log N) (+ (* (log N) 5) (+ (/ 5/3 (* N (* N N))) (neg (/ (+ N -1/2) (* N N)))))))
1.0ms	N	@	0	(/ (+ (* (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (log (+ 1 N))) (log N)) (neg (* (pow (log N) 2) (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N)))))) (* (log N) (+ (* (log N) 5) (+ (/ 5/3 (* N (* N N))) (neg (/ (+ N -1/2) (* N N)))))))
1.0ms	N	@	0	(/ 1/24 (* N (* N N)))
0.0ms	N	@	inf	(/ (+ (* (* (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N))) (log (+ 1 N))) (log N)) (neg (* (pow (log N) 2) (log (* (+ (* N (* N N)) 1) (- (+ (* N N) 1) N)))))) (* (log N) (+ (* (log N) 5) (+ (/ 5/3 (* N (* N N))) (neg (/ (+ N -1/2) (* N N)))))))

rewrite321.0ms (3.5%)

Memory

-3.8MiB live, 539.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 268×	`lower-*.f32`
4 254×	`lower-*.f64`
3 852×	`lower-fma.f32`
3 840×	`lower-fma.f64`
3 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	338
0	100	299
1	451	268
2	4370	262
0	8864	245

Stop Event

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

Counts

26 → 636

Calls

Call 1

Inputs
(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(+.f64 N #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) N)
(-.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N))) #s(literal 1 binary64))
(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)
(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) (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 (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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))))
(neg.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.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))
(/.f64 #s(literal -1/12 binary64) N)
(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))
(.f64 N (.f64 N N))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
(fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64))
(log1p.f64 N)
(pow.f64 (log.f64 N) #s(literal 2 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))))

Outputs
(+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(fma.f64 N (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) N (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 (.f64 N #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))))
(/.f64 (.f64 N (fma.f64 N (.f64 (.f64 N N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N #s(literal 1/24 binary64)))) (.f64 N (.f64 N (*.f64 N N))))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N (.f64 N N))))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))))
(/.f64 (.f64 N (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N N)))) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(/.f64 (.f64 (fma.f64 N (.f64 (.f64 N N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N #s(literal 1/24 binary64))) N) (.f64 N (.f64 N (*.f64 N N))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N (.f64 N N)))) N) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N N))) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)) N)
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))
(pow.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal 1/16 binary64)) (.f64 N #s(literal -1/12 binary64))) (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 N N) #s(literal 1/9 binary64) #s(literal -1/16 binary64))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64)) (-.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal 1/16 binary64)) (.f64 N #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 N N) #s(literal 1/9 binary64)) (*.f64 N #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 N N) #s(literal 1/9 binary64) #s(literal -1/16 binary64)) (fma.f64 N #s(literal -1/3 binary64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal 1/16 binary64)) (.f64 N #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) #s(literal 1/9 binary64) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 N N) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal 1/16 binary64)) (.f64 N #s(literal -1/12 binary64))) (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 N N) #s(literal 1/9 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 N (.f64 N N)) #s(literal -1/27 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal 1/16 binary64)) (*.f64 N #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 N N) #s(literal 1/9 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N #s(literal -1/3 binary64) #s(literal -1/4 binary64))))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (.f64 N (.f64 N N))) (neg.f64 (log1p.f64 (-.f64 (*.f64 N N) N))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (*.f64 N N) N)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (*.f64 N N) #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 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (*.f64 N N))))))
(-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (.f64 N N) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 N N))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(neg.f64 (neg.f64 (log1p.f64 N)))
(neg.f64 (log.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(log1p.f64 N)
(*.f64 #s(literal 1 binary64) (log1p.f64 N))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 N))) #s(literal 4 binary64)))
(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))))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 N))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 N))) #s(literal 4 binary64)))
(+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log1p.f64 (.f64 N (.f64 N N)))) (.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))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (log1p.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log1p.f64 (.f64 N (.f64 N N))) (.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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (log1p.f64 (-.f64 (.f64 N N) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(.f64 (log.f64 N) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(.f64 (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N)) (log.f64 N))

simplify371.0ms (4.1%)

Memory

32.3MiB live, 667.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 262×	`lower-fma.f64`
7 262×	`lower-fma.f32`
4 452×	`lower-+.f64`
4 452×	`lower-+.f32`
4 094×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4892
1	2099	4361
2	6871	4284
0	8027	4069

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 307

Calls

Call 1

Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ 1/24 (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
2
(+ 2 (* -4 N))
(+ 2 (* N (- (* 8 N) 4)))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
1/2
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* -1 (pow N 2)) 1/3))) (pow N 3))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
-1
(* -1 (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(- (/ 1/4 (pow N 3)) (+ 1 (* 1/3 (/ 1 (pow N 2)))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* -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))
(sqrt (log N))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(sqrt (+ (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))))
(* N (pow (log N) 2))
(* N (- (* N (- (* -1 (log N)) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (log N) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* N (- (* N (- (+ (* -1 (log N)) (* N (- (+ (log N) (* N (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))))) (* 5/3 (pow (log N) 2))))) (* 1/2 (pow (log N) 2)))) (* -1 (pow (log N) 2))))
(* 5 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)
(/ (- (+ (* -5/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -5/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -5/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* -1 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/4 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 10/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))))))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 2)))) N)
(/ (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))) N)
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N))
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))
(* -1 (/ (+ (* -1 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1/4 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (+ (log -1) (* -1 (log (/ -1 N))))) (* 5/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/3 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1/2 (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N))) N))
(* 3/5 (* (pow N 4) (log N)))
(* (pow N 4) (+ (* 3/5 (log N)) (* N (- (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 9/50 (log N))))))
(* (pow N 4) (+ (* 3/5 (log N)) (* N (- (+ (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* N (- (* 3/5 (/ (- (log N) (* 5/3 (pow (log N) 2))) (log N))) (+ (* -9/25 (log N)) (* 3/10 (- (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 9/50 (log N)))))))) (* 9/50 (log N))))))
(* (pow N 4) (+ (* 3/5 (log N)) (* N (- (+ (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* N (- (+ (* 3/5 (/ (- (log N) (* 5/3 (pow (log N) 2))) (log N))) (* N (- (* 3/5 (/ (- (* 13/12 (log N)) (* 1/4 (pow (log N) 2))) (log N))) (+ (* -3/5 (- (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 9/50 (log N)))) (+ (* 3/10 (- (* 3/5 (/ (- (log N) (* 5/3 (pow (log N) 2))) (log N))) (+ (* -9/25 (log N)) (* 3/10 (- (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 9/50 (log N))))))) (* 9/5 (pow (log N) 2))))))) (+ (* -9/25 (log N)) (* 3/10 (- (* 3/5 (/ (- (* -1 (log N)) (* 1/2 (pow (log N) 2))) (log N))) (* 9/50 (log N)))))))) (* 9/50 (log N))))))
(/ 1 N)
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(/ 1/2 (pow N 2))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -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))
(* 5 (pow (log (/ 1 N)) 2))
(+ (* -5 (/ (log (/ 1 N)) N)) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N)))
(- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (/ (log (/ 1 N)) N))))) (/ 1 (pow N 2)))
(- (+ (* -5 (/ (log (/ 1 N)) N)) (+ (* -10/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 5 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 3)) (/ (log (/ 1 N)) N))))))) (/ 1 (pow N 2)))
(* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (+ (log -1) (* -5 (log (/ -1 N))))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ (log -1) (* -5 (log (/ -1 N))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -5/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -5 (log (/ -1 N)))))) 1) N)) (+ (* -1/2 (+ (log -1) (* -5 (log (/ -1 N))))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) 1) N))))) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(pow N 3)
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(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ -1/3 (pow N 2))
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(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
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(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
1/4
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(* -1/3 N)
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(* -1 (* N (- 1/3 (* 1/4 (/ 1 N)))))
(* -1 (* N (- 1/3 (* 1/4 (/ 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)))
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(- (+ (* -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)))
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(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
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(* N (+ (* -1 (pow (log N) 2)) (* 1/2 (* N (pow (log N) 2)))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* 5/3 (* N (pow (log N) 2)))))))
(* N (+ (* -1 (pow (log N) 2)) (* N (+ (* 1/2 (pow (log N) 2)) (* N (+ (* 1/4 (* N (pow (log N) 2))) (* 5/3 (pow (log N) 2))))))))
(* -5 (pow (log (/ 1 N)) 3))
(+ (* -5 (pow (log (/ 1 N)) 3)) (* -1 (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))
(+ (* -5 (pow (log (/ 1 N)) 3)) (+ (* -1 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 5/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))))))
(* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 5/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)) (* (+ (log -1) (* -5 (log (/ -1 N)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))

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

eval177.0ms (1.9%)

Memory: -35.8MiB live, 335.5MiB allocated
Compiler: Compiled 46 036 to 3 724 computations (91.9% saved)

prune153.0ms (1.7%)

Memory

29.6MiB live, 261.9MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 194	11	1 205
Fresh	5	19	24
Picked	4	1	5
Done	1	6	7
Total	1 204	37	1 241

Accuracy

99.8%

Counts

1 241 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
	21.3%	(/.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) (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 N) (fma.f64 (log.f64 N) #s(literal 5 binary64) (+.f64 (/.f64 #s(literal 5/3 binary64) (.f64 N (.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))))
✓	23.5%	(/.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) (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 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	22.8%	(/.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)) (exp.f64 (log.f64 (log.f64 N))) (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 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	96.3%	(/.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)
	96.4%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64))) N)
	21.8%	(/.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)))))
	21.7%	(/.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)))
	19.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	95.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
✓	93.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	92.8%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	93.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
	25.0%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	21.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 N) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) 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)))))
	96.8%	(/.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)))
	96.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 N N) (-.f64 N (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))) (-.f64 N (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))))))
	96.9%	(/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))
	95.9%	(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
✓	93.7%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	96.8%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))
✓	86.0%	(/.f64 #s(literal 1 binary64) N)
	21.7%	(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (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)))))))
	21.8%	(-.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))))))
✓	21.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.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 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	93.2%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
	24.6%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
	23.3%	(neg.f64 (fma.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (log.f64 N))) (neg.f64 (log1p.f64 N))))
	24.2%	(neg.f64 (-.f64 (log.f64 (-.f64 (/.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (/.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	23.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (/.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.6%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64))))
	9.7%	#s(literal 2 binary64)

Compiler

Compiled 2 864 to 776 computations (72.9% saved)

regimes37.0ms (0.4%)

Memory

10.7MiB live, 48.1MiB allocated

Counts

66 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	N
16.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes28.0ms (0.3%)

Memory

-13.6MiB live, 39.0MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
11.0ms	N

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.2%)

Memory

-2.9MiB live, 34.7MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.2%)

Memory

-0.4MiB live, 37.9MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.9%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

-16.9MiB live, 21.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.9%	1	`N`
95.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.7%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.0%	1	`N`
86.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
9.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
9.7%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00045961695509966205	0.0009671745527155551

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	0.00045961695509966205	0.0009671745527155551

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch29.0ms (0.3%)

Memory

-24.7MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	465.95985040698577	1033.4396080519643

Samples

4.0ms

80×

valid

Compiler

Compiled 136 to 98 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (44.2% of total)

ival-log1p: 1.0ms (44.2% of total)

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

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

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

simplify8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
12×	`*-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	134
1	58	134
2	69	134
3	81	134
4	85	134
5	86	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (.f64 N N)))) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 800 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (.f64 N N)))) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 800 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (+.f64 N (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

soundness932.0ms (10.2%)

Memory

33.6MiB live, 764.3MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
7 290×	`lower-fma.f64`
7 290×	`lower-fma.f32`
7 262×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4892
1	2099	4361
2	6871	4284
0	8027	4069
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	576	3837
1	1780	3403
2	5943	3349
0	8265	3188
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	51	288
0	100	276
1	410	250
2	3491	243
0	8913	243

Stop Event

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

Compiler

Compiled 373 to 214 computations (42.6% saved)

preprocess71.0ms (0.8%)

Memory: 12.7MiB live, 173.7MiB allocated
Compiler: Compiled 342 to 130 computations (62% 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%)

sample1.2s (13.6%)

preprocess23.0ms (0.3%)

explain119.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize47.0ms (0.5%)

series53.0ms (0.6%)

rewrite359.0ms (3.9%)

simplify307.0ms (3.4%)

eval59.0ms (0.6%)

prune108.0ms (1.2%)

simplify351.0ms (3.8%)

localize350.0ms (3.8%)

series101.0ms (1.1%)

rewrite310.0ms (3.4%)

simplify441.0ms (4.8%)

eval172.0ms (1.9%)

prune158.0ms (1.7%)

simplify304.0ms (3.3%)

localize302.0ms (3.3%)

series26.0ms (0.3%)

rewrite426.0ms (4.7%)

simplify468.0ms (5.1%)

eval338.0ms (3.7%)

prune299.0ms (3.3%)

simplify267.0ms (2.9%)

localize309.0ms (3.4%)

series20.0ms (0.2%)

rewrite321.0ms (3.5%)

simplify371.0ms (4.1%)

eval177.0ms (1.9%)

prune153.0ms (1.7%)

regimes37.0ms (0.4%)

regimes28.0ms (0.3%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

simplify8.0ms (0.1%)

soundness932.0ms (10.2%)

preprocess71.0ms (0.8%)

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