Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (15.1%)

Memory

9.9MiB live, 1 658.1MiB allocated

Samples

1.0s	6 469×	1	valid
117.0ms	1 787×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 933.0ms

ival-log1p: 434.0ms (46.5% of total)

ival-log: 250.0ms (26.8% of total)

adjust: 91.0ms (9.8% of total)

ival-sub: 70.0ms (7.5% of total)

ival->: 44.0ms (4.7% of total)

ival-<: 17.0ms (1.8% of total)

ival-and: 12.0ms (1.3% of total)

exact: 10.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess20.0ms (0.2%)

Memory

-8.8MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
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))

explain124.0ms (1.3%)

Memory

-1.9MiB live, 173.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	246	4

Confusion

	Predicted +	Predicted -
+	246	1
-	0	9

Precision

1.0

Recall

0.9959514170040485

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	246	1	0
-	0	3	6

Precision?

0.988

Recall?

1.0

Freqs

test

number	freq
0	10
1	246

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	406×	1	valid
6.0ms	106×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log1p: 19.0ms (39.8% of total)

ival-log: 14.0ms (29.3% of total)

adjust: 7.0ms (14.7% of total)

ival-sub: 4.0ms (8.4% of total)

ival-add: 3.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.7%	(-.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

8.3MiB live, 8.3MiB 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)

localize48.0ms (0.5%)

Memory

-25.6MiB live, 53.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	22.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

26.0ms	203×	1	valid
3.0ms	53×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 8.0ms (38.4% of total)

ival-log: 6.0ms (28.8% of total)

adjust: 3.0ms (14.4% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% 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

8.5MiB live, 83.7MiB 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	@	0	(log (+ N 1))

rewrite341.0ms (3.5%)

Memory

10.8MiB live, 533.4MiB 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 (log1p.f64 (.f64 N (.f64 N N))) (neg.f64 (log1p.f64 (-.f64 (*.f64 N N) N))))
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(+.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (neg.f64 (log1p.f64 (-.f64 (.f64 N N) N))) (log1p.f64 (.f64 N (*.f64 N N))))
(+.f64 (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 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 N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))))) (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal 1 binary64)) (.f64 N (*.f64 N N))))))
(-.f64 (log.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (.f64 N N) #s(literal -1 binary64)))))
(-.f64 (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 N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 (.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 N (-.f64 #s(literal 1 binary64) N))))) (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 N (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (log.f64 (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (log1p.f64 (.f64 N N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (.f64 N N) N)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (-.f64 (*.f64 N N) N)))))))
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(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (+.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (/.f64 (-.f64 #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 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.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 N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.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 N (-.f64 #s(literal 1 binary64) N))))) (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 N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(.f64 (+.f64 N #s(literal 1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (.f64 N N) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(.f64 (/.f64 (-.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 N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (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 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.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 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(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))

simplify462.0ms (4.7%)

Memory

-8.7MiB live, 385.5MiB 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 (*.f64 N #s(literal -1/2 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(fma.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 N N) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(fma.f64 (fma.f64 N (fma.f64 N #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N) N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(+.f64 (log.f64 (neg.f64 N)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 N (fma.f64 N (*.f64 N #s(literal 1/2 binary64)) (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 N (fma.f64 N (*.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64))) (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))

eval128.0ms (1.3%)

Memory: 27.9MiB live, 104.5MiB allocated
Compiler: Compiled 13 662 to 1 543 computations (88.7% saved)

prune148.0ms (1.5%)

Memory

-17.5MiB live, 116.2MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	450	23	473
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	23	474

Accuracy

99.6%

Counts

474 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	22.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	23.3%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N)))
	24.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))
	24.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
▶	23.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	93.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
▶	96.7%	(/.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)
	95.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	26.1%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
▶	85.2%	(/.f64 #s(literal 1 binary64) N)
	22.7%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))))
	22.7%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (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)))))
	22.6%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	22.1%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N)))
	26.1%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
▶	25.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.4%	(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 1 362 to 558 computations (59% saved)

simplify365.0ms (3.7%)

Memory

-16.3MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))
✓	cost-diff	6784	(-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
✓	cost-diff	28480	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(log.f64 (fma.f64 N N N))
✓	cost-diff	0	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	14592	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	cost-diff	0	(-.f64 (*.f64 N N) N)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)

Rules

7 154×	`accelerator-lowering-fma.f32`
7 154×	`accelerator-lowering-fma.f64`
4 268×	`/-lowering-/.f32`
4 268×	`/-lowering-/.f64`
3 550×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	350
1	91	350
2	265	305
3	1329	303
4	4931	303
0	8072	272

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

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

localize456.0ms (4.7%)

Memory

6.0MiB live, 321.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (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	99.1%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	23.4%	(-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	accuracy	99.5%	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	26.4%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.8%	(-.f64 (*.f64 N N) N)
✓	accuracy	99.7%	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	26.4%	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 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

221.0ms	188×	1	valid
20.0ms	64×	0	valid
2.0ms	2×	3	valid
2.0ms	2×	2	valid

Compiler

Compiled 319 to 41 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-log1p: 57.0ms (30.9% of total)

ival-log: 43.0ms (23.3% of total)

ival-div: 26.0ms (14.1% of total)

ival-mult: 12.0ms (6.5% of total)

adjust: 11.0ms (6% of total)

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

ival-pow2: 8.0ms (4.3% of total)

const: 7.0ms (3.8% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series42.0ms (0.4%)

Memory

-4.3MiB live, 79.7MiB allocated

Counts

23 → 276

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

Calls

69 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(/ (- (* 1 (log (+ (* N N) N))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (log (+ (* N N) N))))
7.0ms	N	@	inf	(/ (- (* 1 (log (+ (* N N) N))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (log (+ (* N N) N))))
3.0ms	N	@	0	(/ (- (* 1 (log (+ (* N N) N))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (log (+ (* N N) N))))
3.0ms	N	@	0	(/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2))
2.0ms	N	@	-inf	(/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2))

rewrite333.0ms (3.4%)

Memory

28.5MiB live, 780.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 126×	`/-lowering-/.f32`
5 126×	`/-lowering-/.f64`
4 892×	`-lowering-.f32`
4 892×	`-lowering-.f64`
2 438×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	272
1	267	235
2	2284	228
0	9133	203

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 918

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

simplify425.0ms (4.3%)

Memory

-2.9MiB live, 595.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 390×	`accelerator-lowering-fma.f32`
8 390×	`accelerator-lowering-fma.f64`
7 136×	`+-lowering-+.f64`
7 136×	`+-lowering-+.f32`
4 244×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	865	8300
1	2790	7596
0	8302	7246

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

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

eval239.0ms (2.4%)

Memory: 36.9MiB live, 371.8MiB allocated
Compiler: Compiled 68 125 to 5 500 computations (91.9% saved)

prune228.0ms (2.3%)

Memory

-17.2MiB live, 388.0MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 702	33	1 735
Fresh	10	8	18
Picked	3	2	5
Done	0	0	0
Total	1 715	43	1 758

Accuracy

99.8%

Counts

1 758 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	22.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	85.2%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	23.3%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N)))
	96.1%	(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
	96.6%	(/.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)
	23.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))))
	96.7%	(/.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)
	96.7%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
	20.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.1%	(/.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)))
	95.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	96.7%	(/.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))))
▶	93.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
	95.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	96.7%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
	96.7%	(/.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)
	85.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))) N)
▶	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N)))))
	23.2%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
▶	96.8%	(/.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))))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	22.7%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) #s(literal -1 binary64)))
	96.7%	(*.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)))
	26.1%	(.f64 (/.f64 #s(literal -1 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)))))
	24.0%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
	22.6%	(neg.f64 (/.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))))))
	26.6%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	26.5%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	25.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.1%	(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)))
▶	25.4%	(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 2 261 to 1 091 computations (51.7% saved)

simplify205.0ms (2.1%)

Memory

3.9MiB live, 195.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	cost-diff	640	(fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))
✓	cost-diff	640	(fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Rules

5 904×	`accelerator-lowering-fma.f32`
5 904×	`accelerator-lowering-fma.f64`
2 304×	`-lowering-.f32`
2 304×	`-lowering-.f64`
1 332×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	370
1	96	343
2	212	331
3	458	331
4	1034	330
5	2693	330
6	4698	330
7	6887	330
8	7954	330
0	8057	321

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

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

localize257.0ms (2.6%)

Memory

15.8MiB live, 296.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	accuracy	99.5%	(.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	98.7%	(-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))))
✓	accuracy	26.4%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	accuracy	95.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
✓	accuracy	25.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.8%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	accuracy	99.9%	(/.f64 #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

159.0ms	176×	1	valid
30.0ms	80×	0	valid

Compiler

Compiled 416 to 46 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-log: 42.0ms (26.7% of total)

ival-div: 39.0ms (24.8% of total)

ival-add: 15.0ms (9.5% of total)

ival-mult: 15.0ms (9.5% of total)

adjust: 13.0ms (8.3% of total)

ival-pow: 13.0ms (8.3% of total)

const: 7.0ms (4.4% of total)

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

ival-exp: 5.0ms (3.2% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series27.0ms (0.3%)

Memory

-7.2MiB live, 30.2MiB 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 (pow (* N N) -1/2)>
#<alt (* N N)>
#<alt (exp (* (log (/ 1 (log (/ (+ N 1) N)))) -1))>
#<alt (log (/ 1 (log (/ (+ N 1) N))))>
#<alt (* (log (/ 1 (log (/ (+ N 1) N)))) -1)>
#<alt (/ 1 (log (/ (+ N 1) N)))>
#<alt (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))>
#<alt (+ (* N (- N (* N N))) (* N (* N (* N N))))>
#<alt (/ (* (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1)))) (neg (log (+ (* N N) N))))>
#<alt (* (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1))))>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (log (/ (+ N 1) N))>
#<alt (/ (+ N 1) N)>
#<alt (log (/ N (+ N 1)))>
#<alt (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N 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 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 (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<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 (/ -1 (log N)))>
#<alt (+ (log (/ -1 (log N))) (/ N (log N)))>
#<alt (+ (log (/ -1 (log N))) (* N (+ (* 1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))>
#<alt (+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* 1/2 (/ 1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 5/24 (/ 1 N)) 1/2) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 5/24) N)) 1/2) N))))>
#<alt (* -1 (log (/ -1 (log N))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* -1 (/ N (log N))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* N (- (* -1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* N (- (* N (+ (* -1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (* -1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))))) (/ 1 (log N)))))>
#<alt (log (/ 1 N))>
#<alt (- (log (/ 1 N)) (* 1/2 (/ 1 N)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (- (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ 1 N)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N)))>
#<alt (/ -1 (log N))>
#<alt (- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<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 (pow N 3)>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* -1 (- (* 3 (log N)) (* 2 (log N))))>
#<alt (+ N (* -1 (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* -1 (* N (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))))))))>
#<alt (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* N (+ (* -1 (* N (- (+ 1/3 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 3))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ (* 3/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))))) (+ (* 1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))) (* -1 (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N))))))))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (* N (log (/ 1 N)))))>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))) N)>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N)))))) N)>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* -1/12 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))))) N)>
#<alt (* -1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N)))))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) (* N (log (/ -1 N)))))) (+ (* -1/12 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))>
#<alt (* (log N) (- (* 3 (log N)) (* 2 (log N))))>
#<alt (+ (* N (+ (log N) (* -1 (- (* 3 (log N)) (* 2 (log N)))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (* 1/2 (- (* 3 (log N)) (* 2 (log N))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (+ (* -1/3 (- (* 3 (log N)) (* 2 (log N)))) (* 1/3 (log N))))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (* -1 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 3))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* -1 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) N)) (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (* -1 (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 (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 (- (* 3 (log N)) (* 2 (log N)))>
#<alt (- (+ N (* 3 (log N))) (* 2 (log N)))>
#<alt (- (+ (* 3 (log N)) (* N (+ 1 (* -1/2 N)))) (* 2 (log N)))>
#<alt (- (+ (* 3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* 2 (log N)))>
#<alt (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (* -4 (log (/ 1 N))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))>
#<alt (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(/ (* (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1)))) (neg (log (+ (* N N) N))))
4.0ms	N	@	0	(+ (* N (- N (* N N))) (* N (* N (* N N))))
2.0ms	N	@	-inf	(/ (* (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1)))) (neg (log (+ (* N N) N))))
2.0ms	N	@	0	(/ (* (- (log (+ (* N (* N N)) (* (* N N) (* N (* N (* N N)))))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1)))) (neg (log (+ (* N N) N))))
1.0ms	N	@	0	(log (/ 1 (log (/ (+ N 1) N))))

rewrite381.0ms (3.9%)

Memory

30.8MiB live, 420.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`-lowering-.f32`
5 260×	`-lowering-.f64`
4 116×	`/-lowering-/.f32`
4 116×	`/-lowering-/.f64`
3 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	264
1	291	192
2	2345	190
0	8761	177

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 749

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

simplify372.0ms (3.8%)

Memory

-1.4MiB live, 506.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
4 268×	`+-lowering-+.f64`
4 268×	`+-lowering-+.f32`
3 916×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	584	3841
1	1845	3360
2	6104	3031
0	8569	2914

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 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(* -1 (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 (/ -1 (log N)))
(+ (log (/ -1 (log N))) (/ N (log N)))
(+ (log (/ -1 (log N))) (* N (+ (* 1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))
(- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* 1/2 (/ 1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 5/24 (/ 1 N)) 1/2) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 5/24) N)) 1/2) N))))
(* -1 (log (/ -1 (log N))))
(+ (* -1 (log (/ -1 (log N)))) (* -1 (/ N (log N))))
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* -1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* N (+ (* -1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (* -1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))))) (/ 1 (log N)))))
(log (/ 1 N))
(- (log (/ 1 N)) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 N)))))
(- (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ 1 N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N)))
(/ -1 (log N))
(- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
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)))
(pow N 3)
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (* N (- N 1))))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(pow N 4)
(* (pow N 4) (- 1 (/ 1 N)))
(* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* -1 (- (* 3 (log N)) (* 2 (log N))))
(+ N (* -1 (- (* 3 (log N)) (* 2 (log N)))))
(+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* -1 (* N (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))))))))
(+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* N (+ (* -1 (* N (- (+ 1/3 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 3))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ (* 3/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))))) (+ (* 1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))) (* -1 (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N))))))))))))
(* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (* N (log (/ 1 N)))))
(/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))) N)
(/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N)))))) N)
(/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* -1/12 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))))) N)
(* -1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N)))))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) (* N (log (/ -1 N)))))) (+ (* -1/12 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* (log N) (- (* 3 (log N)) (* 2 (log N))))
(+ (* N (+ (log N) (* -1 (- (* 3 (log N)) (* 2 (log N)))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (* 1/2 (- (* 3 (log N)) (* 2 (log N))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (+ (* -1/3 (- (* 3 (log N)) (* 2 (log N)))) (* 1/3 (log N))))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(* -1 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))) (/ 1 N)) N)
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 3))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* -1 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) N)) (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(* -1 (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))
(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))
(- (* 3 (log N)) (* 2 (log N)))
(- (+ N (* 3 (log N))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* -1/2 N)))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* 2 (log N)))
(- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) (*.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))
(/ (- (* 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)) (.f64 (.f64 N N) (*.f64 N N)))
(/ (- (* 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)) (.f64 (.f64 N N) (*.f64 N N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- (+ 1 (/ 1/3 (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 (.f64 (.f64 N N) (.f64 N N)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(.f64 (.f64 (.f64 N N) (.f64 N N)) (fma.f64 N #s(literal -16/3 binary64) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (.f64 (.f64 N N) (.f64 N N)) (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 (.f64 (.f64 N N) (.f64 N N)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -112/27 binary64) #s(literal 8/9 binary64)) #s(literal -16/3 binary64)) #s(literal -4 binary64)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)) (neg.f64 N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 N (neg.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))))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 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)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 N N) N) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) (log.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- (+ 1 (/ 1/3 (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)
(log (/ -1 (log N)))
(neg.f64 (log.f64 (neg.f64 (log.f64 N))))
(+ (log (/ -1 (log N))) (/ N (log N)))
(+.f64 (neg.f64 (log.f64 (neg.f64 (log.f64 N)))) (/.f64 N (log.f64 N)))
(+ (log (/ -1 (log N))) (* N (+ (* 1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(fma.f64 N (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (log.f64 N) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 N))) (neg.f64 (log.f64 (neg.f64 (log.f64 N)))))
(+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
(fma.f64 N (fma.f64 N (fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (.f64 (log.f64 N) #s(literal -6 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) #s(literal 6 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 N #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (log.f64 N) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 N))) (neg.f64 (log.f64 (neg.f64 (log.f64 N)))))
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/24 binary64) N)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/24 binary64) N)) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* 1/2 (/ 1 N))))
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(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 2 binary64) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))
(- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (.f64 #s(literal 2 binary64) (log.f64 N))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))
(- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 N))))
(- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 N)))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))
(+.f64 (/.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N N)) (.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 N)))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))
(+.f64 (/.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 -2 binary64) (neg.f64 (log.f64 (neg.f64 N)))))

eval174.0ms (1.8%)

Memory: -24.3MiB live, 292.7MiB allocated
Compiler: Compiled 33 800 to 4 070 computations (88% saved)

prune162.0ms (1.7%)

Memory

-23.7MiB live, 293.4MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1 121	19	1 140
Fresh	12	24	36
Picked	5	0	5
Done	0	2	2
Total	1 138	45	1 183

Accuracy

99.9%

Counts

1 183 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	22.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.4%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	23.3%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N)))
	96.1%	(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))
	96.6%	(/.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)
	23.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N)))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))))
	96.7%	(/.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)
	20.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.1%	(/.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64))))
	95.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	92.7%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	96.7%	(/.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)
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (exp.f64 (log.f64 (.f64 N N)))))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	24.2%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N))) (.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (-.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 (.f64 N N) (.f64 N N) N)))) (log.f64 (.f64 (.f64 N (-.f64 N (.f64 N (-.f64 N (.f64 N N))))) (fma.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N))) (.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (-.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (.f64 N (.f64 N N)))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
▶	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (.f64 N N) (fma.f64 (.f64 N N) (.f64 N N) N))) (log.f64 (.f64 N (-.f64 N (.f64 N (-.f64 N (.f64 N N))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 N (.f64 N (-.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 (.f64 N N) (.f64 N N) N))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N)))))
	23.2%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (-.f64 N (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) N))))
	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	96.0%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
▶	97.1%	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
▶	93.6%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	96.0%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)) (neg.f64 N)))
▶	97.1%	(/.f64 #s(literal 1 binary64) (*.f64 N (neg.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)))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	22.7%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	26.1%	(.f64 (/.f64 #s(literal -1 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)))))
▶	24.0%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
	26.6%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	26.5%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	25.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	92.4%	(exp.f64 (.f64 (log.f64 (.f64 N (neg.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 -1 binary64)))
	25.4%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))

Compiler

Compiled 2 631 to 1 203 computations (54.3% saved)

simplify226.0ms (2.3%)

Memory

27.7MiB live, 297.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))))
✓	cost-diff	0	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	cost-diff	640	(fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))
✓	cost-diff	0	(log.f64 N)
✓	cost-diff	0	(sqrt.f64 (log.f64 N))
✓	cost-diff	128	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))
✓	cost-diff	8000	(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 N (neg.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)))))
✓	cost-diff	128	(neg.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)))
✓	cost-diff	192	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
✓	cost-diff	1024	(*.f64 N (neg.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))))
✓	cost-diff	0	(+.f64 N #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
✓	cost-diff	0	(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))))
✓	cost-diff	1856	(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))

Rules

5 930×	`accelerator-lowering-fma.f32`
5 930×	`accelerator-lowering-fma.f64`
2 694×	`-lowering-.f32`
2 694×	`-lowering-.f64`
1 634×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	434
1	124	430
2	300	420
3	768	408
4	1803	395
5	4770	383
0	8090	366

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize314.0ms (3.2%)

Memory

-2.4MiB live, 402.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.3%	(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))
✓	accuracy	98.7%	(-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N))))))
✓	accuracy	26.4%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	99.8%	(sqrt.f64 (log.f64 N))
✓	accuracy	24.1%	(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
✓	accuracy	99.8%	(*.f64 N (neg.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))))
✓	accuracy	99.8%	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
✓	accuracy	99.4%	(/.f64 #s(literal -1/24 binary64) N)
✓	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	99.6%	(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.4%	(/.f64 #s(literal -1/12 binary64) N)
✓	accuracy	99.3%	(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))

Samples

192.0ms	188×	1	valid
32.0ms	65×	0	valid
3.0ms	3×	2	valid

Compiler

Compiled 473 to 55 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-div: 50.0ms (26.8% of total)

ival-log: 29.0ms (15.6% of total)

ival-add: 22.0ms (11.8% of total)

ival-mult: 22.0ms (11.8% of total)

adjust: 18.0ms (9.7% of total)

const: 15.0ms (8.1% of total)

ival-sub: 13.0ms (7% of total)

ival-log1p: 6.0ms (3.2% of total)

ival-neg: 6.0ms (3.2% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series19.0ms (0.2%)

Memory

-5.6MiB live, 29.3MiB allocated

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/24 (pow N 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 (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 (- (* N (+ 1/2 N)) 1/12))) (pow N 3))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))>
#<alt (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (sqrt (log N))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 N))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* -1 (- (* 3 (log N)) (* 2 (log N))))>
#<alt (+ N (* -1 (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* -1 (* N (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))))))))>
#<alt (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (* N (+ (* -1 (* N (- (+ 1/3 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 3))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ (* 3/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))))) (+ (* 1/3 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N)))))) (* -1 (- (* 1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (+ 1/2 (+ (* -1 (/ (- (* 3 (log N)) (* 2 (log N))) (pow (log N) 2))) (+ (* -1/2 (/ (- (* 3 (log N)) (* 2 (log N))) (log N))) (/ 1 (log N))))))))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (* N (log (/ 1 N)))))>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))) N)>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N)))))) N)>
#<alt (/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* -1/12 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))))) N)>
#<alt (* -1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N)))))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) (* N (log (/ -1 N)))))) (+ (* -1/12 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))>
#<alt (* (log N) (- (* 3 (log N)) (* 2 (log N))))>
#<alt (+ (* N (+ (log N) (* -1 (- (* 3 (log N)) (* 2 (log N)))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (* 1/2 (- (* 3 (log N)) (* 2 (log N))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (+ (* -1/3 (- (* 3 (log N)) (* 2 (log N)))) (* 1/3 (log N))))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (* -1 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 3))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* -1 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) N)) (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))>
#<alt (- (* 3 (log N)) (* 2 (log N)))>
#<alt (- (+ N (* 3 (log N))) (* 2 (log N)))>
#<alt (- (+ (* 3 (log N)) (* N (+ 1 (* -1/2 N)))) (* 2 (log N)))>
#<alt (- (+ (* 3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* 2 (log N)))>
#<alt (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (* -4 (log (/ 1 N))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))>
#<alt (- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))>
#<alt (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))>
#<alt (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (/ -1/12 N)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (/ -1/24 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 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 N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (log N)>
#<alt (+ (log N) (* -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 (pow N 3)>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(sqrt (log N))
0.0ms	N	@	0	(* N (+ (/ 1/24 (* N (* N N))) (/ (+ 1/2 (/ -1/12 N)) N)))
0.0ms	N	@	-inf	(* N (+ (/ 1/24 (* N (* N N))) (/ (+ 1/2 (/ -1/12 N)) N)))
0.0ms	N	@	-inf	(/ (* (- (log (* (+ (* N (* N N)) 1) (* N (* N N)))) (log (+ (* N (- N (* N N))) (* N (* N (* N N)))))) (log (/ N (+ N 1)))) (neg (log (+ (* N N) N))))
0.0ms	N	@	0	(/ 1/24 (* N (* N N)))

rewrite375.0ms (3.8%)

Memory

-1.8MiB live, 635.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 412×	`/-lowering-/.f32`
4 412×	`/-lowering-/.f64`
3 274×	`-lowering-.f32`
3 274×	`-lowering-.f64`
2 840×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	252
1	376	213
2	3506	205
0	8875	189

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 985

Calls

Call 1

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

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

simplify317.0ms (3.2%)

Memory

14.8MiB live, 455.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 000×	`accelerator-lowering-fma.f32`
6 000×	`accelerator-lowering-fma.f64`
4 160×	`-lowering-.f32`
4 160×	`-lowering-.f64`
3 096×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3792
1	1706	3327
2	5549	2906
0	8530	2794

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ 1/24 (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))
2
(+ 2 (* -4 N))
(+ 2 (* N (- (* 8 N) 4)))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
1/2
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/24 (pow N 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 (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 (- (* N (+ 1/2 N)) 1/12))) (pow N 3))
1
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
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(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
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(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(sqrt (log N))
(sqrt (log N))
(sqrt (log N))
(sqrt (log N))
(* (sqrt (log (/ 1 N))) (sqrt -1))
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(* (sqrt (log (/ 1 N))) (sqrt -1))
(* (sqrt (log (/ 1 N))) (sqrt -1))
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(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(log N)
(log N)
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(* -1 (log (/ 1 N)))
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(* (pow N 2) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (* N (- N 1))))
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(* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
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(* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
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(/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 11/12) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/8 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* -1/12 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) (log (/ 1 N))))))) (pow N 3))) (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) 1) (log (/ 1 N)))) (* -1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow (log (/ 1 N)) 2)))) N)) (* -1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (log (/ 1 N))))))) N)
(* -1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (* N (log (/ -1 N)))))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))))) (* -1 (/ (- (+ (* -1 (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))))) (* -1/2 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) (* N (log (/ -1 N)))))) (+ (* -1/12 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (* N (pow (log (/ -1 N)) 2)))) (+ (* 1/4 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (* N (log (/ -1 N))))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (+ (* -1/8 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) (log (/ -1 N)))) (* -1/4 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (* N (log (/ -1 N)))))))) N))) N)) (* 1/2 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) (log (/ -1 N))))) N))
(* (log N) (- (* 3 (log N)) (* 2 (log N))))
(+ (* N (+ (log N) (* -1 (- (* 3 (log N)) (* 2 (log N)))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (* 1/2 (- (* 3 (log N)) (* 2 (log N))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (+ (log N) (+ (* -1 (- (* 3 (log N)) (* 2 (log N)))) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (- (* 3 (log N)) (* 2 (log N)))) (* N (+ 1 (+ (* -1/3 (- (* 3 (log N)) (* 2 (log N)))) (* 1/3 (log N))))))) 1))))) (* (log N) (- (* 3 (log N)) (* 2 (log N)))))
(* -1 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N))) (/ 1 N)) N)
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))) (+ (* -1/3 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 2))) (+ (* 1/4 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) (pow N 3))) (+ (* 1/2 (/ (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) N)) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* -1 (/ (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) 11/12) N)) (* 1/3 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N)) (* 1/2 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) 1) N))) (* -4 (log (/ -1 N)))) N))
(- (* 3 (log N)) (* 2 (log N)))
(- (+ N (* 3 (log N))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* -1/2 N)))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* 2 (log N)))
(- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ 1/24 (pow N 3))
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(/ -1/12 N)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(/ -1/24 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 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)))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow N 3)
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(* (pow N 3) (+ 1 (pow N 3)))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(pow N 6)
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))
(* (pow N 6) (+ 1 (/ 1 (pow N 3))))

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

eval206.0ms (2.1%)

Memory: -6.5MiB live, 331.8MiB allocated
Compiler: Compiled 42 308 to 4 620 computations (89.1% saved)

prune267.0ms (2.7%)

Memory

-8.1MiB live, 409.2MiB allocated

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	1 381	24	1 405
Fresh	13	25	38
Picked	3	2	5
Done	0	2	2
Total	1 397	53	1 450

Accuracy

99.9%

Counts

1 450 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
	22.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.4%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	23.3%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 N (.f64 N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 N N) N)) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N)))
	24.4%	(/.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	25.1%	(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	96.1%	(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))
	96.6%	(/.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)
	23.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	97.0%	(/.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)))
	23.7%	(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))))
	20.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	23.1%	(/.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log1p.f64 N)) #s(literal 2 binary64))))
	95.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
	22.6%	(/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	92.7%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
	24.2%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N))) (.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (-.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 (.f64 N N) (.f64 N N) N)))) (log.f64 (.f64 (.f64 N (-.f64 N (.f64 N (-.f64 N (.f64 N N))))) (fma.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N))) (.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (-.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (.f64 N (.f64 N N)))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	24.0%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	22.7%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))) (neg.f64 (log.f64 (fma.f64 N N N))))
✓	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (.f64 N (.f64 N N)))) (log.f64 (.f64 N (*.f64 N (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 N (.f64 N (-.f64 N (.f64 N N))))) (.f64 (.f64 N N) (fma.f64 (.f64 N N) (.f64 N N) N))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.1%	(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log1p.f64 (-.f64 (.f64 N N) N)))))
	23.2%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	97.1%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))
	96.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	97.1%	(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)))))
	96.0%	(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
✓	93.6%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	97.0%	(/.f64 #s(literal 1 binary64) (.f64 N (/.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 (*.f64 N N)))))
	96.0%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	22.7%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	93.3%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1/4 binary64))) (+.f64 N #s(literal -1/2 binary64)))
	96.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)) (-.f64 N (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))))) (-.f64 N (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))
	26.1%	(.f64 (/.f64 #s(literal -1 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)))))
	24.0%	(neg.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log.f64 (+.f64 N #s(literal 1 binary64))))))
	22.6%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))))))
	26.1%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))))
	26.6%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	26.5%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
	22.7%	(neg.f64 (*.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
✓	25.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.4%	(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))) #s(literal -1 binary64)))
	24.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	25.4%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	9.8%	#s(literal 2 binary64)

Compiler

Compiled 4 196 to 1 192 computations (71.6% saved)

regimes53.0ms (0.5%)

Memory

24.3MiB live, 98.0MiB allocated

Counts

100 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

27.0ms	N
22.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.4%)

Memory

-12.9MiB live, 69.8MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

19.0ms	N
14.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes32.0ms (0.3%)

Memory

-5.2MiB live, 71.8MiB allocated

Counts

62 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	N
13.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes30.0ms (0.3%)

Memory

3.4MiB live, 42.3MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	N
12.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes51.0ms (0.5%)

Memory

-22.1MiB live, 33.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

42.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N 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
97.1%	1	`N`
97.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

-22.8MiB live, 14.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.6%	1	`N`
93.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB 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:

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

Results

Accuracy	Segments	Branch
85.2%	1	`N`
85.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
9.8%	1	`N`
9.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007296758211383647	0.0014435620289141582

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch9.0ms (0.1%)

Memory

-24.9MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	692.2310040205602	1369.9716744046336

Samples

5.0ms

64×

valid

Compiler

Compiled 167 to 104 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-log: 3.0ms (72.6% of total)

ival-log1p: 1.0ms (24.2% of total)

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

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

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

bsearch6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	692.2310040205602	1369.9716744046336

Samples

3.0ms

64×

valid

Compiler

Compiled 159 to 100 computations (37.1% saved)

Precisions

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

ival-log: 1.0ms (55.3% of total)

ival-log1p: 1.0ms (55.3% of total)

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

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007296758211383647	0.0014435620289141582

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007296758211383647	0.0014435620289141582

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify20.0ms (0.2%)

Memory

-12.2MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

150×	`unsub-neg_binary64`
106×	`neg-mul-1_binary64`
62×	`distribute-neg-out_binary64`
52×	`+-commutative_binary64`
46×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	219
1	88	219
2	121	218
3	160	218
4	182	217
5	206	217
6	231	217
7	246	217
8	323	217
9	407	217
10	410	217

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))) (/.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))))
(if (<=.f64 N #s(literal 950 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 N #s(literal 950 binary64)) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))) (/.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N N N))))
(if (<=.f64 N #s(literal 950 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N)))))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 N #s(literal 950 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 N #s(literal 950 binary64)) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 N #s(literal 950 binary64)) (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))) (neg.f64 (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

soundness1.2s (12.2%)

Memory

20.1MiB live, 1 010.6MiB allocated

Rules

11 472×	`accelerator-lowering-fma.f32`
11 472×	`accelerator-lowering-fma.f64`
7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
6 000×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	252
1	376	213
2	3506	205
0	8875	189
0	545	3792
1	1706	3327
2	5549	2906
0	8530	2794
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	6	15
1	38	15
2	265	15
3	2625	15
0	8843	12
0	584	3841
1	1845	3360
2	6104	3031
0	8569	2914
0	40	272
1	267	235
2	2284	228
0	9133	203

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 473 to 240 computations (49.3% saved)

preprocess122.0ms (1.2%)

Memory: -16.5MiB live, 225.1MiB allocated
Compiler: Compiled 532 to 176 computations (66.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
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	56	219
1	88	219
2	121	218
3	160	218
4	182	217
5	206	217
6	231	217
7	246	217
8	323	217
9	407	217
10	410	217

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
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	56	219
1	88	219
2	121	218
3	160	218
4	182	217
5	206	217
6	231	217
7	246	217
8	323	217
9	407	217
10	410	217

analyze0.0ms (0%)

sample1.5s (15.1%)

preprocess20.0ms (0.2%)

explain124.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize48.0ms (0.5%)

series53.0ms (0.5%)

rewrite341.0ms (3.5%)

simplify462.0ms (4.7%)

eval128.0ms (1.3%)

prune148.0ms (1.5%)

simplify365.0ms (3.7%)

localize456.0ms (4.7%)

series42.0ms (0.4%)

rewrite333.0ms (3.4%)

simplify425.0ms (4.3%)

eval239.0ms (2.4%)

prune228.0ms (2.3%)

simplify205.0ms (2.1%)

localize257.0ms (2.6%)

series27.0ms (0.3%)

rewrite381.0ms (3.9%)

simplify372.0ms (3.8%)

eval174.0ms (1.8%)

prune162.0ms (1.7%)

simplify226.0ms (2.3%)

localize314.0ms (3.2%)

series19.0ms (0.2%)

rewrite375.0ms (3.8%)

simplify317.0ms (3.2%)

eval206.0ms (2.1%)

prune267.0ms (2.7%)

regimes53.0ms (0.5%)

regimes36.0ms (0.4%)

regimes32.0ms (0.3%)

regimes30.0ms (0.3%)

regimes51.0ms (0.5%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness1.2s (12.2%)

preprocess122.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
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	56	219
1	88	219
2	121	218
3	160	218
4	182	217
5	206	217
6	231	217
7	246	217
8	323	217
9	407	217
10	410	217