Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.3s (12.5%)

Memory

12.3MiB live, 1 713.3MiB allocated

Samples

908.0ms	7 038×	1	valid
112.0ms	1 218×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 749.0ms

ival-log1p: 316.0ms (42.2% of total)

ival-log: 211.0ms (28.2% of total)

adjust: 86.0ms (11.5% of total)

ival-sub: 69.0ms (9.2% of total)

ival->: 26.0ms (3.5% of total)

ival-<: 19.0ms (2.5% of total)

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

exact: 10.0ms (1.3% of total)

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

Bogosity

preprocess22.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain117.0ms (1.2%)

Memory

-13.8MiB live, 183.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
250	1	(82.90921095238176)	1	(20.889109980018254)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	250	2

Confusion

	Predicted +	Predicted -
+	249	1
-	1	5

Precision

0.996

Recall

0.996

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	1	0
-	1	1	4

Precision?

0.9920634920634921

Recall?

1.0

Freqs

test

number	freq
0	6
1	250

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	430×	1	valid
5.0ms	82×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 14.0ms (31.7% of total)

ival-log1p: 14.0ms (31.7% of total)

adjust: 8.0ms (18.1% of total)

ival-sub: 4.0ms (9.1% of total)

ival-add: 3.0ms (6.8% of total)

ival-true: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	24.4%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB 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×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.4%)

Memory

-24.3MiB live, 52.5MiB 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	24.4%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

29.0ms	215×	1	valid
2.0ms	41×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 8.0ms (36.9% of total)

ival-log1p: 8.0ms (36.9% of total)

adjust: 3.0ms (13.8% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

-1.9MiB live, 76.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (+ N 1))>
#<alt (- (log (+ N 1)) (log N))>
#<alt (+ N 1)>
#<alt (log 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
26.0ms	N	@	0	(log N)
19.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	inf	(log (+ N 1))

rewrite648.0ms (6.4%)

Memory

-172.1MiB live, 491.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 976×	`/-lowering-/.f32`
4 976×	`/-lowering-/.f64`
3 238×	`-lowering-.f32`
3 238×	`-lowering-.f64`
2 654×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	38	15
2	265	15
3	2625	15
0	8843	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 425

Calls

Call 1

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

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

simplify337.0ms (3.3%)

Memory

-6.5MiB live, 474.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 472×	`accelerator-lowering-fma.f32`
11 472×	`accelerator-lowering-fma.f64`
2 762×	`-lowering-.f32`
2 762×	`-lowering-.f64`
2 058×	`+-lowering-+.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 → 48

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

eval58.0ms (0.6%)

Memory: 35.3MiB live, 111.4MiB allocated
Compiler: Compiled 13 908 to 1 540 computations (88.9% saved)

prune93.0ms (0.9%)

Memory

-8.6MiB live, 146.7MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	453	20	473
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	454	20	474

Accuracy

99.4%

Counts

474 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.0%	(/.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)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.3%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))))
	92.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
▶	97.0%	(/.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)
	95.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	27.9%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))))
▶	83.9%	(/.f64 #s(literal 1 binary64) N)
	24.3%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.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))))
	24.4%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
▶	27.4%	(.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.4%	(.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))))
	27.9%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N)))))
▶	27.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	26.9%	(neg.f64 (log.f64 (/.f64 (.f64 N (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 N (.f64 N N) #s(literal 1 binary64)))))
▶	27.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	27.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 1 024 to 482 computations (52.9% saved)

simplify317.0ms (3.1%)

Memory

2.4MiB live, 403.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	cost-diff	320	(*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	53888	(.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	14592	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(/.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

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
2 942×	`+-lowering-+.f64`
2 942×	`+-lowering-+.f32`
2 374×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	303
1	61	301
2	102	301
3	216	245
4	600	245
5	2880	245
6	5731	245
7	6620	245
0	8127	224

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize205.0ms (2%)

Memory

-18.6MiB live, 293.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	accuracy	99.4%	(*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	accuracy	99.1%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	27.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	accuracy	99.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
✓	accuracy	99.4%	(/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))
✓	accuracy	27.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	28.0%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)

Samples

124.0ms	194×	1	valid
20.0ms	62×	0	valid

Compiler

Compiled 268 to 35 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-div: 27.0ms (24% of total)

ival-log: 26.0ms (23.1% of total)

const: 18.0ms (16% of total)

ival-mult: 11.0ms (9.8% of total)

ival-add: 10.0ms (8.9% of total)

adjust: 7.0ms (6.2% of total)

ival-log1p: 5.0ms (4.4% of total)

ival-pow2: 4.0ms (3.6% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series25.0ms (0.2%)

Memory

3.1MiB live, 40.9MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 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 (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow 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>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)>
#<alt (/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ 1 (log (/ -1 N)))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/6 (/ 1 (log (/ -1 N))))) (+ (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1 (log N))>
#<alt (- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))>
#<alt (- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))>
#<alt (/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N)>
#<alt (/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N)>
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#<alt (/ 1 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
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#<alt (pow (log N) 2)>
#<alt (+ (* N (log N)) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<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))))>
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#<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)>
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#<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 (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>

Calls

66 calls:

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

rewrite378.0ms (3.7%)

Memory

48.6MiB live, 717.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 182×	`/-lowering-/.f32`
5 182×	`/-lowering-/.f64`
4 520×	`-lowering-.f32`
4 520×	`-lowering-.f64`
2 424×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	177
1	202	177
2	1735	177
0	8468	157

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 236

Calls

Call 1

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

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

simplify498.0ms (4.9%)

Memory

-33.8MiB live, 808.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 748×	`accelerator-lowering-fma.f32`
7 748×	`accelerator-lowering-fma.f64`
4 850×	`+-lowering-+.f64`
4 850×	`+-lowering-+.f32`
3 930×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	4869
1	1924	4244
2	6998	4206
0	8403	4041

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval394.0ms (3.9%)

Memory: 37.1MiB live, 575.8MiB allocated
Compiler: Compiled 75 116 to 5 552 computations (92.6% saved)

prune286.0ms (2.8%)

Memory

-29.5MiB live, 578.1MiB allocated

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	2 167	32	2 199
Fresh	5	10	15
Picked	2	3	5
Done	0	0	0
Total	2 174	45	2 219

Accuracy

99.5%

Counts

2 219 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.0%	(/.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)))) (-.f64 #s(literal 0 binary64) (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)))
	96.8%	(/.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)
	96.9%	(/.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)
	24.4%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.3%	(/.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)))
	97.0%	(/.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)
	24.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	95.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	96.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
▶	92.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	97.0%	(/.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)
	83.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))) N)
	96.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
	96.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
	27.9%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))))
▶	97.0%	(/.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))))
✓	83.9%	(/.f64 #s(literal 1 binary64) N)
	24.3%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.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))))
	97.0%	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
	97.0%	(-.f64 (/.f64 (+.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))
	27.4%	(-.f64 (/.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (/.f64 (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))) (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	24.4%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	27.4%	(.f64 (fma.f64 (log.f64 N) (-.f64 (log.f64 (.f64 (fma.f64 N N N) (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.9%	(.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N))) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 2 binary64)))))))
	25.4%	(.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (.f64 N (.f64 N N))) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 N N))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N)) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))))))
	96.9%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))) N))
	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
	27.4%	(.f64 (-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N N) (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	25.4%	(.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (.f64 N (.f64 N N))) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 N N))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N)) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
▶	27.9%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
	25.4%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (fma.f64 #s(literal 2 binary64) (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)))))
✓	27.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))))
	27.4%	(.f64 (log.f64 (fma.f64 N N N)) (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64))))
	97.0%	(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N))
✓	27.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	28.3%	(neg.f64 (log.f64 (*.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
▶	27.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.4%	(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)))
	27.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 2 859 to 1 344 computations (53% saved)

simplify190.0ms (1.9%)

Memory

32.6MiB live, 227.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	7104	(*.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N)))
✓	cost-diff	13632	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
✓	cost-diff	14592	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N)))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	14592	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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

3 164×	`accelerator-lowering-fma.f32`
3 164×	`accelerator-lowering-fma.f64`
2 340×	`/-lowering-/.f32`
2 340×	`/-lowering-/.f64`
1 898×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	303
1	79	302
2	158	264
3	358	258
4	835	258
5	2673	258
6	4795	258
0	8158	249

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize230.0ms (2.3%)

Memory

-7.4MiB live, 306.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.4%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
✓	accuracy	99.2%	(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))
✓	accuracy	28.0%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
✓	accuracy	99.4%	(/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N)))
✓	accuracy	28.0%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	accuracy	27.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.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

125.0ms	204×	1	valid
14.0ms	52×	0	valid

Compiler

Compiled 320 to 39 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-div: 32.0ms (30.5% of total)

ival-log: 24.0ms (22.9% of total)

ival-mult: 11.0ms (10.5% of total)

ival-add: 10.0ms (9.5% of total)

adjust: 8.0ms (7.6% of total)

const: 7.0ms (6.7% of total)

ival-sub: 6.0ms (5.7% of total)

ival-pow2: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

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

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

series16.0ms (0.2%)

Memory

3.5MiB live, 41.7MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow 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>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt -1>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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 (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt (pow (log N) 2)>
#<alt (+ (* 2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (* 4 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))>
#<alt (- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 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 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (pow (log N) 2)>
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* 2 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))>

Calls

69 calls:

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

rewrite389.0ms (3.8%)

Memory

22.5MiB live, 648.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`/-lowering-/.f32`
5 068×	`/-lowering-/.f64`
4 900×	`-lowering-.f32`
4 900×	`-lowering-.f64`
2 306×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	207
1	252	205
2	2013	181
0	9014	168

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 887

Calls

Call 1

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

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

simplify402.0ms (4%)

Memory

-10.9MiB live, 653.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 174×	`accelerator-lowering-fma.f32`
8 174×	`accelerator-lowering-fma.f64`
4 794×	`+-lowering-+.f64`
4 794×	`+-lowering-+.f32`
3 248×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	3330
1	1473	3074
2	4271	2979
0	8269	2857

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -2 (log (/ -1 N)))
(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(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
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ -1/2 (* N (log (/ -1 N))))
(* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)
(/ -1/2 (* N (log (/ -1 N))))
(* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))
0
0
0
0
0
0
0
0
0
0
0
0
(/ 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)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- 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)))
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 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 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(pow (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))

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

eval230.0ms (2.3%)

Memory: 12.7MiB live, 473.6MiB allocated
Compiler: Compiled 50 832 to 5 057 computations (90.1% saved)

prune251.0ms (2.5%)

Memory

-16.1MiB live, 435.6MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 664	19	1 683
Fresh	19	18	37
Picked	4	1	5
Done	0	3	3
Total	1 687	41	1 728

Accuracy

99.7%

Counts

1 728 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (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))))))
	96.8%	(/.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)
	97.0%	(/.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)
	24.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	95.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	97.0%	(/.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)
	27.9%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))))
	96.9%	(/.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)))))
	95.8%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
▶	92.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
▶	97.4%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
	95.8%	(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
✓	83.9%	(/.f64 #s(literal 1 binary64) N)
	24.3%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.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))))
	27.4%	(-.f64 (/.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (/.f64 (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))) (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	24.4%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
▶	27.9%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
	27.4%	(.f64 (-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N N) (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	24.5%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 0 binary64))) #s(literal 2 binary64))))
▶	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal 2 binary64))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (fma.f64 N (.f64 N (.f64 N N)) (.f64 N (-.f64 N (*.f64 N N)))))) #s(literal 2 binary64))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N N) (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) #s(literal 2 binary64))))
	25.8%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (+.f64 (fma.f64 (/.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) N)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4/3 binary64) (.f64 N N))) (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N))))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N N)))))))
	24.6%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64))) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 0 binary64)) #s(literal 2 binary64))))
	27.9%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (fma.f64 N (.f64 N (.f64 N N)) (.f64 N (-.f64 N (*.f64 N N))))))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
	25.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)))))
✓	27.9%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (+.f64 (.f64 N N) N))))
✓	27.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	27.4%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))
	27.9%	(.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))))
	27.4%	(.f64 (log.f64 (fma.f64 N N N)) (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64))))
✓	27.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
▶	27.4%	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
	27.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 2 283 to 1 154 computations (49.5% saved)

simplify177.0ms (1.7%)

Memory

-18.0MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
✓	cost-diff	7104	(*.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N)))
✓	cost-diff	13632	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	14592	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	0	(sqrt.f64 (log.f64 (fma.f64 N N N)))
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
✓	cost-diff	14592	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #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 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
✓	cost-diff	1216	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))

Rules

3 744×	`accelerator-lowering-fma.f32`
3 744×	`accelerator-lowering-fma.f64`
2 810×	`-lowering-.f32`
2 810×	`-lowering-.f64`
1 456×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	353
1	89	328
2	209	291
3	702	284
4	3176	276
5	6542	276
0	8105	261

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (2.2%)

Memory

8.9MiB live, 370.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	accuracy	28.0%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
✓	accuracy	99.4%	(/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N)))
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
✓	accuracy	28.0%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
✓	accuracy	27.4%	(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
✓	accuracy	99.8%	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
✓	accuracy	99.5%	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
✓	accuracy	99.5%	(/.f64 #s(literal 1/24 binary64) N)

Samples

109.0ms	173×	1	valid
31.0ms	83×	0	valid

Compiler

Compiled 363 to 41 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 28.0ms (26.2% of total)

ival-log: 16.0ms (15% of total)

ival-mult: 13.0ms (12.2% of total)

const: 9.0ms (8.4% of total)

adjust: 8.0ms (7.5% of total)

ival-pow2: 8.0ms (7.5% of total)

ival-sub: 8.0ms (7.5% of total)

ival-add: 7.0ms (6.6% of total)

ival-sqrt: 3.0ms (2.8% of total)

ival-log1p: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series12.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt (sqrt (log N))>
#<alt (+ (sqrt (log N)) (* 1/2 (* N (sqrt (/ 1 (log N))))))>
#<alt (+ (sqrt (log N)) (* N (+ (* -1/2 (* (* N (+ 1/2 (* 1/4 (/ 1 (log N))))) (sqrt (/ 1 (log N))))) (* 1/2 (sqrt (/ 1 (log N)))))))>
#<alt (+ (sqrt (log N)) (* N (+ (* 1/2 (sqrt (/ 1 (log N)))) (* N (+ (* -1/2 (* (sqrt (/ 1 (log N))) (+ 1/2 (* 1/4 (/ 1 (log N)))))) (* 1/2 (* (* N (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (log N)))) (log N))))) (sqrt (/ 1 (log N))))))))))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -2))>
#<alt (+ (* 1/2 (* (/ 1 (* N (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -2)))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -2) 2))))) (* (pow N 2) (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -2))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -2) 2))))) (* (pow N 2) (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -2) 2))))) (* (log (/ 1 N)) (pow (sqrt -2) 2))))) (* (pow N 3) (sqrt -2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -2)))))>
#<alt (* (sqrt (log (/ -1 N))) (sqrt -2))>
#<alt (+ (* 1/2 (* (/ 1 (* N (sqrt -2))) (sqrt (/ 1 (log (/ -1 N)))))) (* (sqrt (log (/ -1 N))) (sqrt -2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 N)))) (/ 1 (sqrt -2)))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 N)) (pow (sqrt -2) 2))))) (* N (sqrt -2))) (sqrt (/ 1 (log (/ -1 N))))))) N)) (* (sqrt (log (/ -1 N))) (sqrt -2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 N)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 N)) (pow (sqrt -2) 2))))) (sqrt -2)))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 N)) (pow (sqrt -2) 2))))) (* (log (/ -1 N)) (pow (sqrt -2) 2))))) (* N (sqrt -2))) (sqrt (/ 1 (log (/ -1 N))))))) N)) (* -1/2 (* (sqrt (/ 1 (log (/ -1 N)))) (/ 1 (sqrt -2))))) N)) (* (sqrt (log (/ -1 N))) (sqrt -2)))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt -1>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ 1/12 N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ 1/12 N)>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (/ -1/24 N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt -1>
#<alt (- (* 2 (/ N (log N))) 1)>
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (log N)))))) (* N (+ (* 2/3 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (pow (log N) 2)))))))) (* 2 (/ 1 (log N))))) 1)>
#<alt (/ -1/2 (* N (log (/ 1 N))))>
#<alt (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ 1 N)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* 1/4 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/4 (/ 1 (log (/ 1 N))))) N)))) (* 1/2 (/ 1 (log (/ 1 N))))) N)>
#<alt (/ -1/2 (* N (log (/ -1 N))))>
#<alt (* -1 (/ (- (+ (/ 1/4 (* N (pow (log (/ -1 N)) 2))) (* 1/2 (/ 1 (log (/ -1 N))))) (/ 1/4 (* N (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (/ 1/8 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (/ 1/6 (* N (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N))))))) (/ 1/12 (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (* N (log (/ -1 N))))) (+ (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/6 (/ 1 (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/4 (/ 1 (log (/ -1 N))))) (log (/ -1 N)))))) (* N (log (/ -1 N))))) (/ 1/8 (* N (log (/ -1 N))))))) N))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* 2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (* 4 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))>
#<alt (- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 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 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(sqrt (log (+ (* N N) N)))
1.0ms	N	@	-inf	(sqrt (log (+ (* N N) N)))
0.0ms	N	@	0	(sqrt (log (+ (* N N) N)))
0.0ms	N	@	0	(* (- -1 (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N)) (- 0 N))
0.0ms	N	@	-inf	(/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N)

rewrite485.0ms (4.8%)

Memory

-29.8MiB live, 378.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 354×	`/-lowering-/.f32`
4 354×	`/-lowering-/.f64`
3 972×	`-lowering-.f32`
3 972×	`-lowering-.f64`
2 100×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	230
1	270	213
2	2220	170
0	8409	157

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 714

Calls

Call 1

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

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

simplify478.0ms (4.7%)

Memory

46.3MiB live, 504.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 182×	`accelerator-lowering-fma.f32`
7 182×	`accelerator-lowering-fma.f64`
5 052×	`-lowering-.f32`
5 052×	`-lowering-.f64`
2 712×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	3591
1	1586	3304
2	4681	3142
0	8216	3007

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval310.0ms (3.1%)

Memory: -3.0MiB live, 313.0MiB allocated
Compiler: Compiled 41 345 to 4 282 computations (89.6% saved)

prune282.0ms (2.8%)

Memory

-2.3MiB live, 396.3MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 289	17	1 306
Fresh	28	4	32
Picked	4	1	5
Done	3	1	4
Total	1 324	23	1 347

Accuracy

100.0%

Counts

1 347 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.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)
	97.4%	(/.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
	95.2%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N)
	92.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
	97.4%	(/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))))) (/.f64 #s(literal -1/12 binary64) N)))
	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))
	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 N N #s(literal 0 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
	95.8%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
✓	92.8%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	97.4%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	97.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 N (fma.f64 N (-.f64 #s(literal -1/2 binary64) N) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
	97.4%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (.f64 N (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
	97.4%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (fma.f64 N N #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) N)))
	97.4%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (/.f64 #s(literal -1/24 binary64) (.f64 N (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
✓	83.9%	(/.f64 #s(literal 1 binary64) N)
	99.8%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal 0 binary64))))) (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)))
	97.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (-.f64 #s(literal 0 binary64) (fma.f64 N N #s(literal 0 binary64)))) N)
	92.3%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
	96.9%	(*.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)))
	97.4%	(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N))
	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	9.9%	#s(literal 2 binary64)

Compiler

Compiled 2 804 to 712 computations (74.6% saved)

regimes52.0ms (0.5%)

Memory

-11.6MiB live, 83.4MiB allocated

Counts

89 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

27.0ms	N
20.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.8%	1	`N`
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.2%)

Memory

-5.9MiB live, 32.7MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

10.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.4%	1	`N`
97.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Memory

-12.8MiB live, 25.3MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Memory

-21.8MiB live, 17.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB 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 #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 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))) 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 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.8%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (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
92.8%	1	`N`
92.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.7MiB 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
83.9%	1	`N`
83.9%	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

-35.1MiB live, 7.0MiB 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:

4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
1.0ms	N

Results

Accuracy	Segments	Branch
9.9%	1	`N`
9.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify27.0ms (0.3%)

Memory

7.0MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Rules

212×	`distribute-lft-neg-in_binary64`
130×	`neg-mul-1_binary64`
116×	`neg-sub0_binary64`
90×	`distribute-neg-in_binary64`
86×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	96
1	60	96
2	77	96
3	111	96
4	139	95
5	175	94
6	227	94
7	277	94
8	314	94
9	398	94
10	525	94
11	634	94
12	689	94
13	701	94
14	701	94

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.3s (13%)

Memory

21.0MiB live, 974.3MiB allocated

Rules

11 472×	`accelerator-lowering-fma.f32`
11 472×	`accelerator-lowering-fma.f64`
8 174×	`accelerator-lowering-fma.f32`
8 174×	`accelerator-lowering-fma.f64`
7 182×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	3591
1	1586	3304
2	4681	3142
0	8216	3007
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	39	230
1	270	213
2	2220	170
0	8409	157
0	6	15
1	38	15
2	265	15
3	2625	15
0	8843	12
0	483	3330
1	1473	3074
2	4271	2979
0	8269	2857
0	34	177
1	202	177
2	1735	177
0	8468	157

Stop Event

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

Compiler

Compiled 304 to 197 computations (35.2% saved)

preprocess229.0ms (2.3%)

Memory: -15.2MiB live, 242.3MiB allocated
Compiler: Compiled 286 to 152 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	14

Iter	Nodes	Cost
0	44	96
1	60	96
2	77	96
3	111	96
4	139	95
5	175	94
6	227	94
7	277	94
8	314	94
9	398	94
10	525	94
11	634	94
12	689	94
13	701	94
14	701	94

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

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	14

Iter	Nodes	Cost
0	44	96
1	60	96
2	77	96
3	111	96
4	139	95
5	175	94
6	227	94
7	277	94
8	314	94
9	398	94
10	525	94
11	634	94
12	689	94
13	701	94
14	701	94

analyze0.0ms (0%)

sample1.3s (12.5%)

preprocess22.0ms (0.2%)

explain117.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize40.0ms (0.4%)

series53.0ms (0.5%)

rewrite648.0ms (6.4%)

simplify337.0ms (3.3%)

eval58.0ms (0.6%)

prune93.0ms (0.9%)

simplify317.0ms (3.1%)

localize205.0ms (2%)

series25.0ms (0.2%)

rewrite378.0ms (3.7%)

simplify498.0ms (4.9%)

eval394.0ms (3.9%)

prune286.0ms (2.8%)

simplify190.0ms (1.9%)

localize230.0ms (2.3%)

series16.0ms (0.2%)

rewrite389.0ms (3.8%)

simplify402.0ms (4%)

eval230.0ms (2.3%)

prune251.0ms (2.5%)

simplify177.0ms (1.7%)

localize223.0ms (2.2%)

series12.0ms (0.1%)

rewrite485.0ms (4.8%)

simplify478.0ms (4.7%)

eval310.0ms (3.1%)

prune282.0ms (2.8%)

regimes52.0ms (0.5%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

simplify27.0ms (0.3%)

soundness1.3s (13%)

preprocess229.0ms (2.3%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	21	18
4	29	18
5	44	18
6	76	18
7	101	18
8	143	18
9	158	18
10	166	18
0	166	14

Iter	Nodes	Cost
0	44	96
1	60	96
2	77	96
3	111	96
4	139	95
5	175	94
6	227	94
7	277	94
8	314	94
9	398	94
10	525	94
11	634	94
12	689	94
13	701	94
14	701	94