Metrics for 2nthrt (problem 3.4.6)

analyze302.0ms (1%)

Memory

2.9MiB live, 398.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	7
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	8
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	9
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	10
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	11
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.4s (48.2%)

Memory

-51.1MiB live, 19 521.1MiB allocated

Samples

10.2s	6 145×	5	exit
1.3s	2 920×	2	valid
839.0ms	2 811×	1	valid
226.0ms	2 525×	0	valid
173.0ms	1 604×	0	exit
170.0ms	1 057×	1	exit
99.0ms	73×	4	exit
4.0ms	5×	2	exit
4.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 11.5s

ival-pow: 9.2s (80.3% of total)

adjust: 1.0s (8.7% of total)

ival-div: 497.0ms (4.3% of total)

ival-add: 427.0ms (3.7% of total)

ival-sub: 284.0ms (2.5% of total)

exact: 33.0ms (0.3% of total)

ival-true: 15.0ms (0.1% of total)

ival-assert: 8.0ms (0.1% of total)

Bogosity

preprocess34.0ms (0.1%)

Memory

-8.3MiB live, 74.4MiB allocated

Algorithm

2×	egg-herbie

Rules

140×	`sub-neg`
86×	`unsub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
80×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Call 2

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (/ 1 n)) (pow (- 1 x) (/ 1 n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (/ 1 x)) (pow n (/ 1 x)))

explain390.0ms (1.3%)

Memory

-17.6MiB live, 536.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
105	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
43	30	(4.600998127471288e-182 3.525450507025083e-101)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	105	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	73	1

Confusion

	Predicted +	Predicted -
+	129	0
-	49	78

Precision

0.7247191011235955

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	49	1	77

Precision?

0.7206703910614525

Recall?

1.0

Freqs

test

number	freq
0	78
1	178

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

159.0ms	188×	2	valid
67.0ms	242×	1	valid
7.0ms	82×	0	valid

Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow: 102.0ms (55.3% of total)

ival-add: 54.0ms (29.3% of total)

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

adjust: 11.0ms (6% of total)

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

exact: 1.0ms (0.5% of total)

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

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

eval0.0ms (0%)

Memory: 1.3MiB live, 1.2MiB allocated
Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify8.0ms (0%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize158.0ms (0.5%)

Memory

-11.6MiB live, 148.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	84.2%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	62.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

104.0ms	121×	1	valid
37.0ms	94×	2	valid
3.0ms	41×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-pow: 111.0ms (84.7% of total)

adjust: 9.0ms (6.9% of total)

ival-div: 4.0ms (3.1% of total)

ival-add: 3.0ms (2.3% of total)

ival-sub: 3.0ms (2.3% of total)

exact: 0.0ms (0% of total)

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

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

series66.0ms (0.2%)

Memory

12.3MiB live, 87.5MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<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 (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(pow x (/ 1 n))
22.0ms	x	@	-inf	(pow x (/ 1 n))
6.0ms	x	@	inf	(pow x (/ 1 n))
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	x	@	-inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite337.0ms (1.1%)

Memory

-1.0MiB live, 595.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 822×	`accelerator-lowering-fma.f32`
3 822×	`accelerator-lowering-fma.f64`
3 746×	`-lowering-.f32`
3 746×	`-lowering-.f64`
3 490×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	58	31
2	402	31
3	4324	31
0	8399	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 321

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))

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

simplify551.0ms (1.8%)

Memory

-31.3MiB live, 947.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 074×	`accelerator-lowering-fma.f32`
13 074×	`accelerator-lowering-fma.f64`
4 500×	`-lowering-.f32`
4 500×	`-lowering-.f64`
3 564×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))

Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) (.f64 x (*.f64 x x))))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) n)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (log.f64 x))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (log1p.f64 x) (+.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) n) (/.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) n) n)) n)) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (+.f64 (log.f64 x) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)))) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1/24 binary64) n) n)) n)))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n))))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n))))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n)))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 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)
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval63.0ms (0.2%)

Memory: 16.1MiB live, 168.9MiB allocated
Compiler: Compiled 12 416 to 1 461 computations (88.2% saved)

prune73.0ms (0.2%)

Memory

10.6MiB live, 203.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	472	12	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	473	12	485

Accuracy

99.8%

Counts

485 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.7%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
▶	57.4%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	41.2%	(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) x)
	36.7%	(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) (.f64 x (*.f64 x x))))))) x)
	45.8%	(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))) x)
▶	63.5%	(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
	20.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	30.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	21.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	14.6%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	62.9%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	39.9%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 644 to 376 computations (41.6% saved)

simplify338.0ms (1.1%)

Memory

13.2MiB live, 838.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n))))))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	128	(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n))
✓	cost-diff	128	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
✓	cost-diff	0	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
✓	cost-diff	0	(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓	cost-diff	12800	(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x)))

Rules

10 394×	`accelerator-lowering-fma.f32`
10 394×	`accelerator-lowering-fma.f64`
3 374×	`-lowering-.f32`
3 374×	`-lowering-.f64`
2 114×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	303
1	79	303
2	186	303
3	410	293
4	1076	293
5	2950	281
6	7030	281
0	8440	247

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x))) n)
(+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x)))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
1/2
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
n
(- (log (+ 1 x)) (log x))
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(pow x (/ 1 n))
x
(/ 1 n)
1
n
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))))
1
(* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))
x
(+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))
(/ 1 n)
n
(* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))
(+ (/ (/ 1/2 n) n) (/ -1/2 n))
(/ (/ 1/2 n) n)
(/ 1/2 n)
1/2
(/ -1/2 n)
-1/2
(pow x (/ 1 n))
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n

Outputs
(/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x))) n)
(/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x)))
(.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
n
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(/ (/ (pow x (/ 1 n)) x) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (pow x (/ 1 n)) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))))
1
#s(literal 1 binary64)
(* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))
(.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
x
(+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))
(.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) n)
(+ (/ (/ 1/2 n) n) (/ -1/2 n))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(/ (/ 1/2 n) n)
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n

localize288.0ms (1%)

Memory

16.8MiB live, 613.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.7%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	accuracy	57.9%	(-.f64 (log1p.f64 x) (log.f64 x))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
✓	accuracy	96.1%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))
✓	accuracy	92.0%	(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))
✓	accuracy	69.7%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	49.0%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.6%	(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	57.9%	(-.f64 (log1p.f64 x) (log.f64 x))
✓	accuracy	57.8%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

134.0ms	69×	2	valid
73.0ms	110×	1	valid
20.0ms	77×	0	valid

Compiler

Compiled 279 to 33 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-log: 52.0ms (28.1% of total)

ival-pow2: 41.0ms (22.1% of total)

ival-div: 32.0ms (17.3% of total)

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

ival-log1p: 11.0ms (5.9% of total)

adjust: 10.0ms (5.4% of total)

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

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

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

exact: 1.0ms (0.5% of total)

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

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

series158.0ms (0.5%)

Memory

-14.2MiB live, 365.2MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#<alt (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x)))>
#<alt (/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x))) n)>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ (/ (pow x (/ 1 n)) x) n)>
#<alt (/ (pow x (/ 1 n)) x)>
#<alt (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))>
#<alt (+ (/ (/ 1/2 n) n) (/ -1/2 n))>
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (log x)>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (pow (log x) 2)>
#<alt (pow (log (+ 1 x)) 2)>
#<alt (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))>
#<alt (/ (/ 1/2 n) n)>

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

Calls

105 calls:

Time	Variable		Point	Expression
81.0ms	n	@	0	(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
17.0ms	n	@	inf	(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
8.0ms	n	@	0	(+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x)))
7.0ms	x	@	-inf	(/ (/ (pow x (/ 1 n)) x) n)
5.0ms	x	@	inf	(/ (/ (pow x (/ 1 n)) x) n)

rewrite474.0ms (1.6%)

Memory

-6.6MiB live, 976.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 098×	`accelerator-lowering-fma.f32`
5 098×	`accelerator-lowering-fma.f64`
5 038×	`/-lowering-/.f32`
5 038×	`/-lowering-/.f64`
4 294×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	232
1	250	232
2	2596	232
0	9871	202

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 908

Calls

Call 1

Inputs
(+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x)))
(/ (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (- (log (+ 1 x)) (log x))) n)
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))
(+ (/ (/ 1/2 n) n) (/ -1/2 n))
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ (/ 1/2 n) n) (/ -1/2 n))))))
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
(log x)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log x) 2)
(pow (log (+ 1 x)) 2)
(* x (+ (/ (/ 1/2 n) n) (/ -1/2 n)))
(/ (/ 1/2 n) n)

Outputs
(+.f64 (log1p.f64 x) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))))
(+.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))))
(-.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 (pow.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)) (+.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 (log1p.f64 x) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) x)) (neg.f64 (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n))) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/8 binary64) (.f64 n (.f64 n n)))) x)) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 n n)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (*.f64 n n)) x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 n (.f64 n n)) #s(literal -1/8 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 n (.f64 n n)) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))))) (+.f64 (.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))) (-.f64 (.f64 (/.f64 x (/.f64 n (/.f64 #s(literal 1/2 binary64) n))) (/.f64 x (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) x)
(.f64 (/.f64 x n) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) n))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) n) (/.f64 x n))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (*.f64 n n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 #s(literal -1/2 binary64) n) n))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 n (-.f64 #s(literal 0 binary64) n))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) n)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 n n))))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 n #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1/2 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) n))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 n n)))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 n #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(pow.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n n)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) n))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) n) n))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 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 2 binary64)))
(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) n) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) n))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))

simplify516.0ms (1.7%)

Memory

18.1MiB live, 859.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 058×	`accelerator-lowering-fma.f32`
8 058×	`accelerator-lowering-fma.f64`
4 958×	`+-lowering-+.f64`
4 958×	`+-lowering-+.f32`
3 648×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	796	6771
1	2482	6323
2	7120	6263
0	8208	5894

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1/2 (/ (pow (log x) 2) n))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))
(* -1 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* -1 (/ (pow (log x) 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
(* -2 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x)))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))) (/ 1 (* n (pow x 2)))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (/ 11/12 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))))) (/ 1 (* n (pow x 2)))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x)))
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (+ (* -1 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (/ 1 n))) x))) x))
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) x)) (/ 1 n))) x))) x))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
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(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))

Outputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(+.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal -1/2 binary64) x)))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x)))) (/.f64 #s(literal -1/2 binary64) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) n) (/.f64 #s(literal 11/12 binary64) n)) (.f64 x (.f64 x x))) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x)))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (-.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))) x))) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (-.f64 (+.f64 (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal -1/4 binary64))) x)) x)))) x))) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(+.f64 (/.f64 x n) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) n)) (/.f64 #s(literal -1/2 binary64) (.f64 x n))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x (.f64 x n))))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x (.f64 x n))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n)))) (.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) n) (/.f64 #s(literal 11/12 binary64) n)) (.f64 x (.f64 x x)))))) (-.f64 (/.f64 (log.f64 x) (.f64 n n)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) n)))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 #s(literal -1 binary64) n))) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) n) (/.f64 #s(literal -1/3 binary64) n)) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) n) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) n) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/4 binary64)) (/.f64 #s(literal 11/24 binary64) n)) n) (/.f64 #s(literal -1/4 binary64) n)) x)) (/.f64 #s(literal -1/3 binary64) n)) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
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(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) n))) (*.f64 n n))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) n))) (*.f64 n n))
(* -1/2 (/ x n))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) n)
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(* -1/2 (/ x n))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) n)
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) n) (.f64 x #s(literal 1/2 binary64))) n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) n) (.f64 x #s(literal 1/2 binary64))) n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) n) (.f64 x #s(literal 1/2 binary64))) n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))

eval298.0ms (1%)

Memory: 15.2MiB live, 484.8MiB allocated
Compiler: Compiled 48 987 to 5 300 computations (89.2% saved)

prune258.0ms (0.9%)

Memory

-8.8MiB live, 536.8MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1 656	32	1 688
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1 663	37	1 700

Accuracy

99.9%

Counts

1 700 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓	59.7%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	31.1%	(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
	50.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
	31.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
	36.1%	(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	7.0%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
	57.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	57.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
	33.7%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	31.1%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
	52.7%	(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
	27.3%	(/.f64 (-.f64 x (log.f64 x)) n)
	50.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
	31.0%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
	46.2%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
	7.5%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
	59.7%	(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
	57.1%	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
▶	57.1%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
	27.6%	(/.f64 (log.f64 x) (neg.f64 n))
	57.0%	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
	20.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	30.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (.f64 n n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	10.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
▶	62.9%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	39.9%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	32.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	33.9%	(.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
	57.0%	(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
	7.5%	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
▶	7.8%	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
▶	57.0%	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))

Compiler

Compiled 1 230 to 765 computations (37.8% saved)

simplify257.0ms (0.9%)

Memory

19.5MiB live, 542.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	256	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
✓	cost-diff	128	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	256	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(/.f64 (log1p.f64 x) n)
✓	cost-diff	0	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	cost-diff	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Rules

8 074×	`accelerator-lowering-fma.f32`
8 074×	`accelerator-lowering-fma.f64`
3 690×	`-lowering-.f32`
3 690×	`-lowering-.f64`
2 330×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	166
1	52	166
2	100	163
3	185	161
4	409	159
5	1308	159
6	3995	159
0	8136	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
1
(- 1 1)
1
(* (* x x) (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n)))
(* x x)
x
(+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n))
(/ (/ 1 n) x)
(/ 1 n)
1
n
(/ (+ -1/2 (/ 1/2 n)) n)
(+ -1/2 (/ 1/2 n))
-1/2
(/ 1/2 n)
1/2
(/ (log (/ (+ 1 x) x)) n)
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
1
x
n
(* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))
(log (/ 1 (/ (+ 1 x) x)))
(/ 1 (/ (+ 1 x) x))
1
(/ (+ 1 x) x)
(+ 1 x)
x
(/ -1 n)
-1
n

Outputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* (* x x) (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n)))
(.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(* x x)
(*.f64 x x)
x
(+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/ (/ 1 n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(/ (+ -1/2 (/ 1/2 n)) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+ -1/2 (/ 1/2 n))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
-1/2
#s(literal -1/2 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)
(log (/ (+ 1 x) x))
(log1p.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
n
(* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))
(/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)
(log (/ 1 (/ (+ 1 x) x)))
(-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 (/ (+ 1 x) x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n

localize141.0ms (0.5%)

Memory

-5.0MiB live, 209.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	accuracy	99.8%	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.9%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
✓	accuracy	95.7%	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
✓	accuracy	83.0%	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(exp.f64 (/.f64 (log1p.f64 x) n))

Samples

52.0ms	179×	1	exit
38.0ms	77×	0	valid

Compiler

Compiled 167 to 30 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 36.0ms (51.1% of total)

adjust: 8.0ms (11.4% of total)

ival-log: 6.0ms (8.5% of total)

ival-mult: 5.0ms (7.1% of total)

ival-add: 4.0ms (5.7% of total)

ival-log1p: 4.0ms (5.7% of total)

ival-pow: 4.0ms (5.7% of total)

ival-exp: 2.0ms (2.8% of total)

ival-sub: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series116.0ms (0.4%)

Memory

-21.7MiB live, 170.5MiB allocated

Counts

18 → 300

Calls

Call 1

Inputs
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (log (+ 1 x))>
#<alt (- 1 1)>
#<alt (* (* x x) (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n)))>
#<alt (* x x)>
#<alt (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n))>
#<alt (/ (/ 1 n) x)>
#<alt (log (/ (+ 1 x) x))>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))>
#<alt (/ 1 (/ (+ 1 x) x))>
#<alt (log (/ 1 (/ (+ 1 x) x)))>
#<alt (/ 1 n)>
#<alt (/ (+ -1/2 (/ 1/2 n)) n)>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
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#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
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#<alt 1>
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#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
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#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
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#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
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#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
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#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
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#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
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#<alt (/ (log (+ 1 x)) n)>
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#<alt (/ (log (+ 1 x)) n)>
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#<alt (/ (log (+ 1 x)) n)>
#<alt x>
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#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
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#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
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#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* (pow x 2) (- (/ 1 x) 1/2)))) (pow n 2))>
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#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* (pow x 2) (- (/ 1 x) 1/2))) n)>
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#<alt (* -1 (/ (* (pow x 2) (- 1/2 (/ 1 x))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* (pow x 2) (- 1/2 (/ 1 x)))) n))>
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#<alt (pow x 2)>
#<alt (pow x 2)>
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#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1/2 (pow n 2))>
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#<alt (/ (+ 1/2 (* n (- (/ 1 x) 1/2))) (pow n 2))>
#<alt (/ (+ 1/2 (* n (- (/ 1 x) 1/2))) (pow n 2))>
#<alt (/ (- (/ 1 x) 1/2) n)>
#<alt (/ (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2) n)>
#<alt (/ (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2) n)>
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#<alt (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))) n))>
#<alt (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))) n))>
#<alt (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))) n))>
#<alt (/ 1 (* n x))>
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#<alt (/ (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) x)>
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#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))>
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#<alt (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
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#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ 1 (* n x))>
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#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
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#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
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#<alt (/ 1 (* n x))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (log (/ (+ 1 x) x)) n)>
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#<alt (/ 1 x)>
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#<alt 1>
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#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
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#<alt (+ 1 (/ 1 x))>
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#<alt 1>
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#<alt (+ 1 x)>
#<alt x>
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#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
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#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt x>
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#<alt 1>
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#<alt 1>
#<alt (- 1 (/ 1 x))>
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#<alt (/ -1 x)>
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#<alt (/ -1 x)>
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#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>
#<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 (/ 1/2 (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ -1/2 n)>
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#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)>
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)>
#<alt (/ -1/2 n)>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>

Calls

75 calls:

Time	Variable		Point	Expression
61.0ms	n	@	0	(* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))
15.0ms	n	@	0	(/ (log (/ (+ 1 x) x)) n)
8.0ms	x	@	inf	(* (* x x) (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n)))
8.0ms	n	@	inf	(/ (log (/ (+ 1 x) x)) n)
5.0ms	n	@	inf	(* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))

rewrite431.0ms (1.4%)

Memory

37.7MiB live, 622.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 754×	`accelerator-lowering-fma.f32`
6 754×	`accelerator-lowering-fma.f64`
4 286×	`/-lowering-/.f32`
4 286×	`/-lowering-/.f64`
3 538×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
1	166	120
2	1510	120
0	8522	106

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 842

Calls

Call 1

Inputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(- 1 1)
(* (* x x) (+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n)))
(* x x)
(+ (/ (/ 1 n) x) (/ (+ -1/2 (/ 1/2 n)) n))
(/ (/ 1 n) x)
(log (/ (+ 1 x) x))
(/ (log (/ (+ 1 x) x)) n)
(/ (+ 1 x) x)
(+ 1 x)
(* (log (/ 1 (/ (+ 1 x) x))) (/ -1 n))
(/ 1 (/ (+ 1 x) x))
(log (/ 1 (/ (+ 1 x) x)))
(/ 1 n)
(/ (+ -1/2 (/ 1/2 n)) n)

Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))) (+.f64 (.f64 (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
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(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
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(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))
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(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n))))) (neg.f64 (*.f64 n (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))) n)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n)))) (neg.f64 (.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n)))) (neg.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)))
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) n) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) n))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) n)
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal -1 binary64) n))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))) n)))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)))
(.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) n))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) n))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (*.f64 n n)))) n) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (*.f64 n n)))) n) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) n) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n))) n) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 n (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 n (*.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (/.f64 n #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (/.f64 n (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1/2 binary64)))

simplify896.0ms (3%)

Memory

-127.0MiB live, 782.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 504×	`accelerator-lowering-fma.f32`
11 504×	`accelerator-lowering-fma.f64`
5 658×	`+-lowering-+.f64`
5 658×	`+-lowering-+.f32`
4 312×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	3781
1	1467	3515
2	3858	3384
0	8500	3182

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
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(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
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(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
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(/ (log (+ 1 x)) n)
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(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
x
(* x (+ 1 (* -1/2 x)))
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(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
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(/ x n)
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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* (pow x 2) (- (/ 1 x) 1/2)))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* (pow x 2) (- (/ 1 x) 1/2)))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* (pow x 2) (- (/ 1 x) 1/2)))) (pow n 2))
(/ (* (pow x 2) (- (/ 1 x) 1/2)) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* (pow x 2) (- (/ 1 x) 1/2))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* (pow x 2) (- (/ 1 x) 1/2))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* (pow x 2) (- (/ 1 x) 1/2))) n)
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(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* (pow x 2) (- 1/2 (/ 1 x)))) n))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(/ 1/2 (pow n 2))
(/ (+ 1/2 (* n (- (/ 1 x) 1/2))) (pow n 2))
(/ (+ 1/2 (* n (- (/ 1 x) 1/2))) (pow n 2))
(/ (+ 1/2 (* n (- (/ 1 x) 1/2))) (pow n 2))
(/ (- (/ 1 x) 1/2) n)
(/ (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2) n)
(/ (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2) n)
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x
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1
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1
(- 1 (/ 1 x))
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(/ 1 n)
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(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))

Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
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(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))) x)
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#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)))) x)
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)))) x) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x) x) #s(literal -1 binary64))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x)
(/ 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)
(/ 1/2 (pow n 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) (.f64 n n))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) (.f64 n n))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 n #s(literal -1/2 binary64))) (.f64 n n))
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))) n)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))) n)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))) n)

eval164.0ms (0.6%)

Memory: 22.9MiB live, 381.2MiB allocated
Compiler: Compiled 27 342 to 3 243 computations (88.1% saved)

prune287.0ms (1%)

Memory

-21.4MiB live, 332.9MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 270	24	1 294
Fresh	11	19	30
Picked	4	1	5
Done	0	2	2
Total	1 285	46	1 331

Accuracy

100.0%

Counts

1 331 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
	58.3%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓	59.7%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	31.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
▶	50.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
	31.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
	36.1%	(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	33.7%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	52.7%	(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
	27.3%	(/.f64 (-.f64 x (log.f64 x)) n)
	50.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
	31.0%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
	50.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
	46.2%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
▶	7.5%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
	59.7%	(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
	6.2%	(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
	10.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
	57.1%	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
✓	57.1%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
	27.6%	(/.f64 (log.f64 x) (neg.f64 n))
	4.4%	(/.f64 x n)
▶	57.0%	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
▶	62.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	53.2%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	39.9%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.1%	(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
	45.2%	(*.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)))
	50.3%	(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
	31.1%	(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
	27.6%	(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
	26.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) n))
	42.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
	57.1%	(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
	3.5%	(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
	11.6%	(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
	9.3%	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
	7.5%	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
	8.6%	(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
	27.6%	(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
	10.1%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
▶	32.8%	#s(literal 0 binary64)

Compiler

Compiled 1 372 to 890 computations (35.1% saved)

simplify437.0ms (1.5%)

Memory

38.8MiB live, 514.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	128	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
✓	cost-diff	256	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
✓	cost-diff	0	(/.f64 (log1p.f64 x) n)
✓	cost-diff	0	(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
✓	cost-diff	0	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	6400	(exp.f64 #s(literal 1 binary64))

Rules

12 162×	`accelerator-lowering-fma.f32`
12 162×	`accelerator-lowering-fma.f64`
4 484×	`-lowering-.f32`
4 484×	`-lowering-.f64`
2 040×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	203
1	62	203
2	120	197
3	216	193
4	353	193
5	472	193
6	668	193
7	1463	193
8	2685	191
9	3355	191
10	4511	191
11	4826	191
12	5391	191
13	6299	191
14	6653	191
15	6914	191
0	8653	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (pow (exp 1) (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(pow (exp 1) (/ (log (+ 1 x)) n))
(exp 1)
1
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
0
(/ (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) n)
(/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x)
(+ 1 (/ (+ -1/2 (/ 1/3 x)) x))
1
(/ (+ -1/2 (/ 1/3 x)) x)
(+ -1/2 (/ 1/3 x))
-1/2
(/ 1/3 x)
1/3
x
n
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x)))) (* n n))
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x))))
(* 1/2 (* x x))
1/2
(* x x)
x
(* (* x n) (+ 1 (* -1/2 x)))
(* x n)
n
(+ 1 (* -1/2 x))
1
(* -1/2 x)
-1/2
(* n n)
(/ 1 (/ n (log (/ (+ 1 x) x))))
1
(/ n (log (/ (+ 1 x) x)))
n
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
x

Outputs
(- (pow (exp 1) (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (exp 1) (/ (log (+ 1 x)) n))
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(exp 1)
(E.f64)
1
#s(literal 1 binary64)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
0
#s(literal 0 binary64)
(/ (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(+ 1 (/ (+ -1/2 (/ 1/3 x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
1
#s(literal 1 binary64)
(/ (+ -1/2 (/ 1/3 x)) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(+ -1/2 (/ 1/3 x))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))
-1/2
#s(literal -1/2 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
n
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x)))) (* n n))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) n)
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x))))
(.f64 x (+.f64 n (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))))
(* 1/2 (* x x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(* (* x n) (+ 1 (* -1/2 x)))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* x n)
(*.f64 x n)
n
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* n n)
(*.f64 n n)
(/ 1 (/ n (log (/ (+ 1 x) x))))
(/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)
1
#s(literal 1 binary64)
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
n
(log (/ (+ 1 x) x))
(log1p.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x

localize306.0ms (1%)

Memory

-14.5MiB live, 257.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.7%	(/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓	accuracy	58.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	91.8%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	66.2%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	95.1%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
✓	accuracy	99.8%	(/.f64 (log1p.f64 x) n)
✓	accuracy	62.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

185.0ms	107×	2	valid
49.0ms	72×	1	valid
21.0ms	77×	0	valid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-div: 70.0ms (31.6% of total)

ival-pow: 41.0ms (18.5% of total)

ival-log: 39.0ms (17.6% of total)

const: 14.0ms (6.3% of total)

ival-mult: 12.0ms (5.4% of total)

adjust: 11.0ms (5% of total)

ival-add: 11.0ms (5% of total)

ival-exp: 10.0ms (4.5% of total)

ival-log1p: 8.0ms (3.6% of total)

ival-sub: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series23.0ms (0.1%)

Memory

4.5MiB live, 40.4MiB allocated

Counts

19 → 336

Calls

Call 1

Inputs
#<alt (exp 1)>
#<alt (- (pow (exp 1) (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (pow (exp 1) (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) n)>
#<alt (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x)>
#<alt (+ 1 (/ (+ -1/2 (/ 1/3 x)) x))>
#<alt (/ (+ -1/2 (/ 1/3 x)) x)>
#<alt (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x))))>
#<alt (/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x)))) (* n n))>
#<alt (* 1/2 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (/ n (log (/ (+ 1 x) x))))>
#<alt (log (/ (+ 1 x) x))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ (+ 1 x) x)>
#<alt (pow x (/ 1 n))>
#<alt (/ 1/3 x)>
#<alt (* (* x n) (+ 1 (* -1/2 x)))>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt (/ x n)>
#<alt (* x (+ (* -1/2 (/ x n)) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ 1/3 (* n (pow x 3)))>
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ 1/3 (pow x 3))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 3))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 2))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 2))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x)))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 2))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/3 (/ 1 x)) 1/2) x)>
#<alt (/ (- (* 1/3 (/ 1 x)) 1/2) x)>
#<alt (/ (- (* 1/3 (/ 1 x)) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))>
#<alt (* n x)>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x)))))>
#<alt (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x)))))>
#<alt (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x)))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))))>
#<alt (* n (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))))>
#<alt (* n (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (* -1 (/ n (log x)))>
#<alt (+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))>
#<alt (+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))>
#<alt (+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))>
#<alt (* n x)>
#<alt (* x (+ n (* 1/2 (/ n x))))>
#<alt (* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))>
#<alt (* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))>
#<alt (* n x)>
#<alt (* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* n x)>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* -1/2 (* n (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* -1/2 (* n (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>

Calls

84 calls:

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

rewrite539.0ms (1.8%)

Memory

6.9MiB live, 609.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 806×	`-lowering-.f32`
4 806×	`-lowering-.f64`
4 592×	`/-lowering-/.f32`
4 592×	`/-lowering-/.f64`
4 254×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	210	153
2	1740	153
0	8839	139

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 745

Calls

Call 1

Inputs
(exp 1)
(- (pow (exp 1) (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(pow (exp 1) (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(/ (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) n)
(/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x)
(+ 1 (/ (+ -1/2 (/ 1/3 x)) x))
(/ (+ -1/2 (/ 1/3 x)) x)
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x))))
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* -1/2 x)))) (* n n))
(* 1/2 (* x x))
(* x x)
(/ 1 (/ n (log (/ (+ 1 x) x))))
(log (/ (+ 1 x) x))
(/ n (log (/ (+ 1 x) x)))
(/ (+ 1 x) x)
(pow x (/ 1 n))
(/ 1/3 x)
(* (* x n) (+ 1 (* -1/2 x)))

Outputs
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(exp.f64 #s(literal 1 binary64))
(sqrt.f64 (*.f64 (E.f64) (E.f64)))
(cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) (/.f64 (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(-.f64 (/.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (E.f64) (E.f64))) (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (log1p.f64 x) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log1p.f64 x) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 x) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(+.f64 (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 x n))
(-.f64 (/.f64 (.f64 (.f64 x n) (.f64 x n)) (-.f64 (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))) (-.f64 (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))
(fma.f64 x n (.f64 (.f64 (*.f64 x n) x) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 n (.f64 x #s(literal -1/2 binary64))) (*.f64 x n))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x n)) (*.f64 x n))
(fma.f64 n x (.f64 (.f64 (*.f64 x n) x) #s(literal -1/2 binary64)))
(fma.f64 n (.f64 x (.f64 x #s(literal -1/2 binary64))) (*.f64 x n))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x n)) (*.f64 x n))
(fma.f64 (.f64 x n) #s(literal 1 binary64) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x n) (.f64 x #s(literal -1/2 binary64)) (*.f64 x n))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x n) (*.f64 x n))
(fma.f64 (.f64 #s(literal 1 binary64) n) x (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) n) x (*.f64 x n))
(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) x) n (*.f64 x n))
(fma.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64) (*.f64 x n))
(fma.f64 (.f64 (.f64 x n) #s(literal -1/2 binary64)) x (*.f64 x n))
(/.f64 (+.f64 (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n))))) (+.f64 (.f64 (.f64 x n) (.f64 x n)) (-.f64 (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))) (.f64 (.f64 x n) (.f64 (.f64 (*.f64 x n) x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x n) (.f64 x n)) (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))) (-.f64 (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x n) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (.f64 x n)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x n)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))))) (neg.f64 (+.f64 (.f64 (.f64 x n) (.f64 x n)) (-.f64 (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))) (.f64 (.f64 x n) (.f64 (.f64 (*.f64 x n) x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x n) (.f64 x n)) (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (.f64 x n) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x n) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) (.f64 x n))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x n))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (.f64 (.f64 x n) (.f64 (.f64 x n) (.f64 x n)))) (+.f64 (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 x n) (.f64 x n)) (.f64 (.f64 (.f64 (.f64 x n) x) #s(literal -1/2 binary64)) (*.f64 x n)))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(.f64 n (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (*.f64 x n))
(.f64 (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) n)

simplify853.0ms (2.9%)

Memory

-15.1MiB live, 630.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 068×	`accelerator-lowering-fma.f32`
10 068×	`accelerator-lowering-fma.f64`
5 346×	`-lowering-.f32`
5 346×	`-lowering-.f64`
3 790×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	4352
1	1648	4117
2	4723	4058
0	8650	3804

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
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1
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1
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(/ 1 x)
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1
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1
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(/ 1/3 x)
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(/ 1/3 x)
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(* n x)
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(* n (* x (+ 1 (* -1/2 x))))

Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x n) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* n x)
(*.f64 x n)
(* x (+ n (* -1/2 (* n x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ n (* -1/2 (* n x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ n (* -1/2 (* n x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* -1/2 (* n (pow x 2)))
(.f64 x (.f64 x (*.f64 n #s(literal -1/2 binary64))))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* -1/2 (* n (pow x 2)))
(.f64 x (.f64 x (*.f64 n #s(literal -1/2 binary64))))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(.f64 (.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (/.f64 n x)))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (* x (+ 1 (* -1/2 x))))
(.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))

eval159.0ms (0.5%)

Memory: 7.1MiB live, 320.5MiB allocated
Compiler: Compiled 24 280 to 2 975 computations (87.7% saved)

prune296.0ms (1%)

Memory

-4.4MiB live, 354.1MiB allocated

Pruning

59 alts after pruning (54 fresh and 5 done)

	Pruned	Kept	Total
New	1 057	24	1 081
Fresh	8	30	38
Picked	3	2	5
Done	0	3	3
Total	1 068	59	1 127

Accuracy

100.0%

Counts

1 127 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
	45.2%	(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	58.3%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓	59.7%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	35.9%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
	31.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
	42.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
✓	50.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
	50.3%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
	50.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
	31.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
	42.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
	37.0%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
	36.1%	(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
	57.0%	(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
	42.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	46.6%	(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
	33.7%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	52.7%	(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
	27.3%	(/.f64 (-.f64 x (log.f64 x)) n)
	49.1%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
	46.2%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
	59.7%	(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
	6.2%	(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
	10.4%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
	8.1%	(/.f64 (.f64 x n) (.f64 n n))
	57.1%	(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
✓	57.1%	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
	27.6%	(/.f64 (log.f64 x) (neg.f64 n))
	4.4%	(/.f64 x n)
	49.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
	41.7%	(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
	27.3%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
	57.0%	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
	30.6%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
	31.0%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
	33.5%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
	41.7%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	44.2%	(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
	29.3%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
	30.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.4%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	53.2%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	39.9%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.1%	(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
	44.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
	4.1%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
	31.1%	(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
	26.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) n))
	42.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
	57.1%	(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
	3.5%	(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
	11.6%	(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
	9.3%	(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
	8.6%	(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
	27.6%	(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
	10.1%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
✓	32.8%	#s(literal 0 binary64)

Compiler

Compiled 2 691 to 1 054 computations (60.8% saved)

regimes132.0ms (0.4%)

Memory

-10.8MiB live, 237.8MiB allocated

Counts

93 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (.f64 n n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) (.f64 x (*.f64 x x))))))) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)
(.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

4 calls:

41.0ms	(/.f64 #s(literal 1 binary64) n)
28.0ms	x
26.0ms	n
24.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
85.5%	6	`x`
88.6%	4	`n`
86.1%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
89.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes37.0ms (0.1%)

Memory

19.7MiB live, 95.3MiB allocated

Counts

88 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (.f64 n n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) (.f64 x (*.f64 x x))))))) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) n))

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

1 calls:

24.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
89.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.1%)

Memory

1.3MiB live, 81.5MiB allocated

Counts

85 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (.f64 n n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) x)
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)))) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (.f64 n n))))) (.f64 x (*.f64 x x))))))) x)

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

1 calls:

27.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
89.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes50.0ms (0.2%)

Memory

7.5MiB live, 84.0MiB allocated

Counts

74 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal 1/4 binary64)) (.f64 n n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

2 calls:

21.0ms	n
21.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
85.0%	5	`n`
85.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.2%)

Memory

-17.9MiB live, 101.3MiB allocated

Counts

69 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (/.f64 #s(literal 1 binary64) n) x))

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

2 calls:

25.0ms	(/.f64 #s(literal 1 binary64) n)
20.0ms	n

Results

Accuracy	Segments	Branch
84.3%	6	`n`
84.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes27.0ms (0.1%)

Memory

11.0MiB live, 47.6MiB allocated

Counts

63 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

1 calls:

20.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
84.2%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.1%)

Memory

12.5MiB live, 49.5MiB allocated

Counts

60 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))

Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

1 calls:

19.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
84.2%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes62.0ms (0.2%)

Memory

-20.0MiB live, 106.4MiB allocated

Counts

58 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)

Outputs
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

3 calls:

21.0ms	(/.f64 #s(literal 1 binary64) n)
18.0ms	x
16.0ms	n

Results

Accuracy	Segments	Branch
77.3%	5	`n`
62.9%	3	`x`
77.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes41.0ms (0.1%)

Memory

12.3MiB live, 94.0MiB allocated

Counts

57 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))

Outputs
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))

Calls

2 calls:

18.0ms	n
16.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
77.3%	5	`n`
77.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes53.0ms (0.2%)

Memory

12.8MiB live, 89.8MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))

(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))

#s(literal 0 binary64)

Calls

3 calls:

16.0ms	x
16.0ms	(/.f64 #s(literal 1 binary64) n)
15.0ms	n

Results

Accuracy	Segments	Branch
62.9%	3	`x`
67.1%	6	`n`
67.0%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Memory

3.1MiB live, 41.6MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Outputs

(/.f64 (log.f64 x) (neg.f64 n))

(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))

#s(literal 0 binary64)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
62.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.2%)

Memory

-21.9MiB live, 96.7MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(.f64 (/.f64 x (/.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) x)
(+.f64 (.f64 (/.f64 x n) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))) (.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x)) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) n)
(.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x x) (.f64 (+.f64 (/.f64 n (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (.f64 (.f64 x n) n))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 n #s(literal -1/12 binary64)) x)) (*.f64 #s(literal -1/12 binary64) (-.f64 (/.f64 n x) n))) x)) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))) x) n)
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 n (/.f64 (+.f64 (.f64 n #s(literal 1/24 binary64)) (.f64 n #s(literal -1/12 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (.f64 n #s(literal -1/12 binary64)) x) (*.f64 n #s(literal 1/2 binary64))) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) x))) x) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) n)
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) n))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) n)

Outputs
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)

Calls

3 calls:

16.0ms	x
15.0ms	(/.f64 #s(literal 1 binary64) n)
15.0ms	n

Results

Accuracy	Segments	Branch
59.4%	2	`(/.f64 #s(literal 1 binary64) n)`
60.2%	3	`n`
56.2%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 x x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 x n))

Outputs
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n)

Calls

1 calls:

7.0ms

(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
59.1%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0%)

Memory

-8.2MiB live, 30.5MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 n (/.f64 (.f64 n #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)

Outputs

(/.f64 (/.f64 #s(literal 1 binary64) x) n)

(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) n)

(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 n (/.f64 (*.f64 n #s(literal 1/2 binary64)) x))))

Calls

2 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n

Results

Accuracy	Segments	Branch
60.2%	3	`n`
59.9%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0%)

Memory

-13.6MiB live, 28.1MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)

Calls

2 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	n

Results

Accuracy	Segments	Branch
59.7%	3	`(/.f64 #s(literal 1 binary64) n)`
59.7%	3	`n`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (*.f64 n n))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x n))))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)

Calls

2 calls:

4.0ms	n
4.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
57.2%	3	`(/.f64 #s(literal 1 binary64) n)`
57.2%	3	`n`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0%)

Memory

-11.3MiB live, 27.6MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x n) (.f64 n n))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) x))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)

Calls

3 calls:

5.0ms	n
4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	x

Results

Accuracy	Segments	Branch
47.0%	2	`x`
52.7%	3	`(/.f64 #s(literal 1 binary64) n)`
52.7%	3	`n`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Calls

2 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n

Results

Accuracy	Segments	Branch
52.7%	3	`(/.f64 #s(literal 1 binary64) n)`
52.7%	3	`n`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.5%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-29.6MiB live, 9.4MiB allocated

Accuracy

Total -18.9b remaining (-44%)

Threshold costs -18.9b (-44%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

3.0ms	n
2.0ms	x

Results

Accuracy	Segments	Branch
32.8%	1	`x`
32.8%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-1.0960314696668911e-5	-8.193225568602832e-13

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.057097124224732e+142	9.091713728575955e+142
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.057097124224732e+142	9.091713728575955e+142
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.057097124224732e+142	9.091713728575955e+142
0.0ms	1.4218124106407783e-7	58.23400942609096
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-6.1236702608865104e-145	-2.9710003059245012e-145

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.057097124224732e+142	9.091713728575955e+142
0.0ms	1.0324023934073443e-17	4.244390695081033e-12
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-1.6783471559952985e+66	-1.9176807898636057e+63

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.057097124224732e+142	9.091713728575955e+142
0.0ms	1.0324023934073443e-17	4.244390695081033e-12
0.0ms	1.979673968218809e-133	1.815309857096109e-131
0.0ms	-1.6783471559952985e+66	-1.9176807898636057e+63

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch84.0ms (0.3%)

Memory

-19.9MiB live, 102.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	6.324022480797243e+115	1.6246226007732983e+121
21.0ms	1.959088185364041e-88	3.9881356759747107e-88

Samples

35.0ms	94×	2	valid
19.0ms	70×	0	valid
13.0ms	60×	1	valid
3.0ms	30×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 641 to 341 computations (46.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow: 31.0ms (51.4% of total)

ival-sub: 16.0ms (26.5% of total)

adjust: 6.0ms (9.9% of total)

ival-add: 4.0ms (6.6% of total)

ival-div: 4.0ms (6.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch72.0ms (0.2%)

Memory

9.2MiB live, 127.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	6.324022480797243e+115	1.6246226007732983e+121
23.0ms	1.959088185364041e-88	3.9881356759747107e-88

Samples

38.0ms	100×	2	valid
12.0ms	51×	1	valid
8.0ms	73×	0	valid
1.0ms	17×	0	exit

Compiler

Compiled 626 to 331 computations (47.1% saved)

Precisions

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

ival-pow: 34.0ms (71.2% of total)

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

adjust: 4.0ms (8.4% of total)

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

ival-sub: 2.0ms (4.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-188447174289.68106	-352942946.42012876

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-188447174289.68106	-352942946.42012876

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch106.0ms (0.4%)

Memory

-10.7MiB live, 184.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
69.0ms	8.54511679664178e-90	6.42180868488784e-85
30.0ms	-23.858207988825235	-2.833319124642999e-9

Samples

52.0ms	164×	1	valid
12.0ms	105×	0	exit
10.0ms	123×	0	valid
7.0ms	17×	2	valid

Compiler

Compiled 452 to 315 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 52.0ms (77.1% of total)

ival-div: 5.0ms (7.4% of total)

adjust: 4.0ms (5.9% of total)

ival-sub: 3.0ms (4.4% of total)

ival-add: 3.0ms (4.4% of total)

exact: 0.0ms (0% of total)

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

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

bsearch113.0ms (0.4%)

Memory

7.9MiB live, 203.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	8.54511679664178e-90	6.42180868488784e-85
32.0ms	-23.858207988825235	-2.833319124642999e-9

Samples

54.0ms	171×	1	valid
13.0ms	153×	0	exit
10.0ms	112×	0	valid
9.0ms	21×	2	valid

Compiler

Compiled 398 to 279 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 53.0ms (74.2% of total)

ival-div: 6.0ms (8.4% of total)

adjust: 4.0ms (5.6% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

ival-true: 1.0ms (1.4% of total)

exact: 0.0ms (0% of total)

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

bsearch110.0ms (0.4%)

Memory

28.9MiB live, 187.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
73.0ms	8.54511679664178e-90	6.42180868488784e-85
31.0ms	-23.858207988825235	-2.833319124642999e-9

Samples

56.0ms	167×	1	valid
11.0ms	126×	0	exit
10.0ms	118×	0	valid
10.0ms	19×	2	valid

Compiler

Compiled 398 to 279 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 55.0ms (77.2% of total)

ival-div: 5.0ms (7% of total)

adjust: 4.0ms (5.6% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch34.0ms (0.1%)

Memory

-18.2MiB live, 61.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-6.280653432985227e-214	-3.773045521330782e-216
18.0ms	-2.833319124642999e-9	-5.30652690213757e-12

Samples

24.0ms

240×

valid

Compiler

Compiled 198 to 163 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 11.0ms (59.7% of total)

ival-div: 4.0ms (21.7% of total)

ival-add: 2.0ms (10.9% of total)

ival-sub: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.1%)

Memory

25.5MiB live, 64.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-6.280653432985227e-214	-3.773045521330782e-216
17.0ms	-2.833319124642999e-9	-5.30652690213757e-12

Samples

20.0ms

240×

valid

Compiler

Compiled 198 to 163 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 10.0ms (69.5% of total)

ival-div: 2.0ms (13.9% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.1%)

Memory

-17.8MiB live, 59.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-6.280653432985227e-214	-3.773045521330782e-216
17.0ms	-2.833319124642999e-9	-5.30652690213757e-12

Samples

20.0ms

240×

valid

Compiler

Compiled 198 to 163 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 10.0ms (68.3% of total)

ival-div: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.1%)

Memory

-1.4MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`+-commutative_binary64`
52×	`*-commutative_binary64`
50×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	874
1	239	874
2	276	874
3	304	874
4	326	874
5	335	874
6	339	874
7	340	874

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5902958103587057/590295810358705651712 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(if (<=.f64 x #s(literal 1567821319524463/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x)))) (if (<=.f64 x #s(literal 779999999999999967201465691041940584620511335694014588212908264465894055377478110460614188581758042483586190315297439744 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)))) #s(literal 0 binary64)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) n))
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(if (<=.f64 n #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal 7559138504850089/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) n) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
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(if (<=.f64 n #s(literal -6769984589841923/2417851639229258349412352 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -698633141535319/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 n #s(literal -6769984589841923/2417851639229258349412352 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -1552518092300709/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
(if (<=.f64 n #s(literal -6769984589841923/2417851639229258349412352 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 n #s(literal -7374460938428367/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
#s(literal 0 binary64)

Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5902958103587057/590295810358705651712 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -439347050248359/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (-.f64 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(if (<=.f64 n #s(literal -6769984589841923/2417851639229258349412352 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 n #s(literal -7374460938428367/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
(if (<=.f64 n #s(literal -6769984589841923/2417851639229258349412352 binary64)) (/.f64 #s(literal 1 binary64) (.f64 n x)) (if (<=.f64 n #s(literal -7374460938428367/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))))
#s(literal 0 binary64)

soundness4.8s (16.2%)

Memory

67.1MiB live, 5 961.9MiB allocated

Rules

13 074×	`accelerator-lowering-fma.f32`
13 074×	`accelerator-lowering-fma.f64`
11 504×	`accelerator-lowering-fma.f32`
11 504×	`accelerator-lowering-fma.f64`
10 068×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	210	153
2	1740	153
0	8839	139
0	490	3781
1	1467	3515
2	3858	3384
0	8500	3182
0	29	123
1	166	120
2	1510	120
0	8522	106
0	535	4352
1	1648	4117
2	4723	4058
0	8650	3804
0	8	31
1	58	31
2	402	31
3	4324	31
0	8399	27
0	32	232
1	250	232
2	2596	232
0	9871	202
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380
0	796	6771
1	2482	6323
2	7120	6263
0	8208	5894

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

Compiler

Compiled 2 056 to 972 computations (52.7% saved)

preprocess111.0ms (0.4%)

Memory: -13.8MiB live, 282.1MiB allocated
Compiler: Compiled 1 828 to 370 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34

analyze302.0ms (1%)

sample14.4s (48.2%)

preprocess34.0ms (0.1%)

explain390.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize158.0ms (0.5%)

series66.0ms (0.2%)

rewrite337.0ms (1.1%)

simplify551.0ms (1.8%)

eval63.0ms (0.2%)

prune73.0ms (0.2%)

simplify338.0ms (1.1%)

localize288.0ms (1%)

series158.0ms (0.5%)

rewrite474.0ms (1.6%)

simplify516.0ms (1.7%)

eval298.0ms (1%)

prune258.0ms (0.9%)

simplify257.0ms (0.9%)

localize141.0ms (0.5%)

series116.0ms (0.4%)

rewrite431.0ms (1.4%)

simplify896.0ms (3%)

eval164.0ms (0.6%)

prune287.0ms (1%)

simplify437.0ms (1.5%)

localize306.0ms (1%)

series23.0ms (0.1%)

rewrite539.0ms (1.8%)

simplify853.0ms (2.9%)

eval159.0ms (0.5%)

prune296.0ms (1%)

regimes132.0ms (0.4%)

regimes37.0ms (0.1%)

regimes36.0ms (0.1%)

regimes50.0ms (0.2%)

regimes54.0ms (0.2%)

regimes27.0ms (0.1%)

regimes25.0ms (0.1%)

regimes62.0ms (0.2%)

regimes41.0ms (0.1%)

regimes53.0ms (0.2%)

regimes22.0ms (0.1%)

regimes48.0ms (0.2%)

regimes8.0ms (0%)

regimes14.0ms (0%)

regimes14.0ms (0%)

regimes10.0ms (0%)

regimes13.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch84.0ms (0.3%)

bsearch72.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch106.0ms (0.4%)

bsearch113.0ms (0.4%)

bsearch110.0ms (0.4%)

bsearch34.0ms (0.1%)

bsearch32.0ms (0.1%)

bsearch33.0ms (0.1%)

simplify30.0ms (0.1%)

soundness4.8s (16.2%)

preprocess111.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	88
1	48	82
2	101	80
3	174	80
4	272	80
5	399	80
6	504	80
7	564	80
8	651	80
9	681	80
10	697	80
0	8	13
1	13	13
2	17	13
3	23	13
4	31	13
5	46	13
6	78	13
7	102	13
8	145	13
9	160	13
10	168	13
0	168	13

Iter	Nodes	Cost
0	8	34
1	13	34
2	17	34
3	23	34
4	31	34
5	46	34
6	78	34
7	102	34
8	145	34
9	160	34
10	168	34
0	168	34