Metrics for 2nthrt (problem 3.4.6)

analyze231.0ms (0.9%)

Memory

14.1MiB live, 352.6MiB 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)

sample14.0s (54.1%)

Memory

109.2MiB live, 17 841.9MiB allocated

Samples

9.2s	4 802×	5	exit
1.4s	2 768×	2	valid
988.0ms	2 863×	1	valid
508.0ms	2 276×	1	exit
366.0ms	2 615×	0	valid
166.0ms	1 557×	0	exit
33.0ms	74×	2	exit
13.0ms	5×	4	exit
4.0ms	10×	3	valid
3.0ms	2×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 11.7s

ival-pow: 9.2s (78.9% of total)

adjust: 1.0s (8.8% of total)

ival-div: 475.0ms (4.1% of total)

ival-add: 464.0ms (4% of total)

ival-sub: 440.0ms (3.8% of total)

exact: 35.0ms (0.3% of total)

ival-true: 17.0ms (0.1% of total)

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

Bogosity

preprocess30.0ms (0.1%)

Memory

-6.2MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`sub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
66×	`unsub-neg`
62×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
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)))

explain245.0ms (0.9%)

Memory

1.0MiB live, 682.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
96	1	(4.066669329299133e+38 4.248218748758635e+283)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
41	41	(1.0971863766440802e-177 -2.8838799388423136e-108)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
3	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
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	97	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	82	1
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	114	0
-	65	77

Precision

0.6368715083798883

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	0
-	65	1	76

Precision?

0.6333333333333333

Recall?

1.0

Freqs

test

number	freq
0	77
1	177
2	1
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	156×	2	valid
72.0ms	238×	1	valid
12.0ms	118×	0	valid

Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-pow: 86.0ms (66.8% of total)

adjust: 19.0ms (14.8% of total)

ival-div: 10.0ms (7.8% of total)

ival-add: 7.0ms (5.4% of total)

ival-sub: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

ival-true: 1.0ms (0.8% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify10.0ms (0%)

Memory

-23.6MiB live, 14.8MiB 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))

localize104.0ms (0.4%)

Memory

27.2MiB live, 148.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	86.3%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	64.8%	(-.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

46.0ms	78×	2	valid
40.0ms	119×	1	valid
6.0ms	59×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-pow: 55.0ms (75.8% of total)

adjust: 7.0ms (9.6% of total)

ival-div: 4.0ms (5.5% of total)

ival-add: 3.0ms (4.1% of total)

ival-sub: 3.0ms (4.1% of total)

exact: 0.0ms (0% of total)

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

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

series116.0ms (0.4%)

Memory

-14.2MiB live, 61.8MiB 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
39.0ms	x	@	inf	(pow x (/ 1 n))
25.0ms	x	@	0	(pow x (/ 1 n))
24.0ms	x	@	0	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
19.0ms	x	@	-inf	(pow x (/ 1 n))
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite1.1s (4.3%)

Memory

-269.3MiB live, 346.0MiB 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)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))
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(exp.f64 (.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
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(pow.f64 x (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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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 1/2 binary64)))
(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)))
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(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))))
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(*.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 1/4 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 1/4 binary64))))

simplify527.0ms (2%)

Memory

33.4MiB live, 665.8MiB 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 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (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)))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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) (/ (* (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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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) (+ (/ (* (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 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (+.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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 n (.f64 n n))))) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) 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 (fma.f64 (exp.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 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) 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 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 #s(literal 1/2 binary64) (.f64 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 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (.f64 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 (fma.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) (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 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 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)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) (log.f64 x)))) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 n (.f64 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 (log.f64 x) (fma.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) (log1p.f64 x))) (neg.f64 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 (fma.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)) (neg.f64 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 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (.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)) (neg.f64 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))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 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))))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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)) (/ (* (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)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 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 (/ (+ (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 (fma.f64 (exp.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 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) 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 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 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))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
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 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n))) n) (log1p.f64 x)) 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 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 (fma.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: -9.3MiB live, 143.7MiB allocated
Compiler: Compiled 12 144 to 1 432 computations (88.2% saved)

prune68.0ms (0.3%)

Memory

-14.7MiB live, 185.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	469	15	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	15	485

Accuracy

99.8%

Counts

485 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.4%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
▶	20.8%	(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	34.9%	(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
▶	41.9%	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
	60.1%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	24.1%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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))))
	23.8%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.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))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
	56.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	26.7%	(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	24.1%	(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 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 (pow.f64 x (/.f64 #s(literal 2 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)))))
▶	36.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	64.4%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	42.5%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.1%	(.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))) (.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))) (/.f64 #s(literal 1 binary64) (+.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 796 to 382 computations (52% saved)

simplify345.0ms (1.3%)

Memory

11.0MiB live, 764.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	448	(fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 x n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	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

13 606×	`accelerator-lowering-fma.f32`
13 606×	`accelerator-lowering-fma.f64`
4 356×	`+-lowering-+.f64`
4 356×	`+-lowering-+.f32`
2 664×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	495
1	105	495
2	315	495
3	1007	495
4	3871	495
5	7283	495
0	8317	476

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

localize300.0ms (1.2%)

Memory

35.4MiB live, 467.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.2%	(/.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)
✓	accuracy	95.3%	(+.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))))
✓	accuracy	86.2%	(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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))
✓	accuracy	82.5%	(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
✓	accuracy	96.2%	(fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	95.3%	(+.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))))
✓	accuracy	81.0%	(fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓	accuracy	55.3%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	66.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	55.3%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.9%	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	accuracy	99.8%	(/.f64 (log1p.f64 x) n)
✓	accuracy	64.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

96.0ms	78×	2	valid
50.0ms	129×	0	valid
43.0ms	49×	1	valid

Compiler

Compiled 507 to 42 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div: 39.0ms (27.3% of total)

ival-pow: 20.0ms (14% of total)

ival-add: 18.0ms (12.6% of total)

adjust: 17.0ms (11.9% of total)

ival-mult: 17.0ms (11.9% of total)

const: 9.0ms (6.3% of total)

ival-sub: 7.0ms (4.9% of total)

ival-exp: 7.0ms (4.9% of total)

ival-log1p: 7.0ms (4.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series133.0ms (0.5%)

Memory

6.2MiB live, 79.6MiB allocated

Counts

19 → 420

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

Calls

105 calls:

Time	Variable		Point	Expression
47.0ms	n	@	0	(/ (log (+ 1 x)) n)
16.0ms	x	@	inf	(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
12.0ms	n	@	-inf	(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
8.0ms	n	@	inf	(/ (log (+ 1 x)) n)
4.0ms	x	@	-inf	(/ (pow x (/ 1 n)) x)

rewrite561.0ms (2.2%)

Memory

4.8MiB live, 355.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 372×	`-lowering-.f32`
4 372×	`-lowering-.f64`
4 020×	`/-lowering-/.f32`
4 020×	`/-lowering-/.f64`
3 900×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	321
1	334	321
2	4426	321
0	9284	283

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 544

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 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
(/ x n)
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ (+ (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) (/ (pow x (/ 1 n)) n)) x)
(+ (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) (/ (pow x (/ 1 n)) n))
(/ (pow x (/ 1 n)) x)
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))
(/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)

Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (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 (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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 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)))))
(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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (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)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 2 binary64))) (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 (neg.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))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (+.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 #s(literal -1 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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (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 2 binary64))) (pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))
(.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 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) 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)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(.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)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 (log1p.f64 x) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 n)))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (/.f64 n (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(pow.f64 (/.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))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.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))
(.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 #s(literal 1 binary64) x))
(.f64 (+.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))))))
(.f64 (pow.f64 (/.f64 x (.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 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (.f64 (.f64 n n) #s(literal 1/3 binary64)))) (.f64 n (.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (.f64 (.f64 n n) #s(literal 1/3 binary64)))) (.f64 n (*.f64 n n)))))

simplify432.0ms (1.7%)

Memory

1.6MiB live, 636.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 970×	`accelerator-lowering-fma.f32`
7 970×	`accelerator-lowering-fma.f64`
6 716×	`+-lowering-+.f64`
6 716×	`+-lowering-+.f32`
3 952×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1044	8928
1	3328	8501
0	8138	8119

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

eval218.0ms (0.8%)

Memory: 27.2MiB live, 448.7MiB allocated
Compiler: Compiled 63 395 to 3 746 computations (94.1% saved)

prune184.0ms (0.7%)

Memory

-12.8MiB live, 335.1MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 479	26	1 505
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	1 489	31	1 520

Accuracy

99.8%

Counts

1 520 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.5%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) #s(literal 1 binary64))
▶	30.3%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	27.1%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	28.2%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
▶	9.0%	(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
	60.1%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	44.3%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
	60.4%	(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
	23.7%	(/.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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
	32.5%	(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))))) n)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 n))
	56.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	28.5%	(/.f64 (-.f64 x (log.f64 x)) n)
	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
▶	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	44.0%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
	10.7%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
	60.1%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	4.4%	(/.f64 x n)
	16.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
▶	64.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	64.4%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.3%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	21.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
	58.1%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	42.5%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	30.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	41.9%	(.f64 (fma.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) x))
	8.6%	(.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 (.f64 x x)))
	28.9%	(neg.f64 (/.f64 (log.f64 x) n))

Compiler

Compiled 1 166 to 672 computations (42.4% saved)

simplify428.0ms (1.7%)

Memory

9.2MiB live, 539.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))
✓	cost-diff	0	(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n)
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	448	(fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
✓	cost-diff	640	(fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	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

19 536×	`accelerator-lowering-fma.f32`
19 536×	`accelerator-lowering-fma.f64`
4 406×	`-lowering-.f32`
4 406×	`-lowering-.f64`
2 820×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	418
1	144	418
2	376	406
3	1144	406
4	3453	400
5	4757	400
6	6191	400
0	8173	349

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)
(- 1 1)
1
(/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))
(+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x))))
n
(+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))
(* x (+ (* x (+ (* x 1/3) -1/2)) 1))
x
(+ (* x (+ (* x 1/3) -1/2)) 1)
(+ (* x 1/3) -1/2)
1/3
-1/2
1
(* (* x x) (+ (* x -1/2) 1/2))
(* x x)
(+ (* x -1/2) 1/2)
1/2
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
(* n (* n n))
(* n n)
(+ (* x (/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)) (- 1 (pow x (/ 1 n))))
x
(/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)
(+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1))
(+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))
(+ (* x 1/3) -1/2)
1/3
-1/2
(/ (+ (* x -1/2) 1/2) n)
(+ (* x -1/2) 1/2)
1/2
n
(+ (* 1/6 (/ (* x x) (* n n))) 1)
1/6
(/ (* x x) (* n n))
(* x x)
(* n n)
1
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (* 2 (/ 1 n))))
1
(pow x (* 2 (/ 1 n)))
x
(* 2 (/ 1 n))
2
(/ 1 n)
n
(+ 1 (pow x (/ 1 n)))
(pow x (/ 1 n))

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)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))
(.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 n (fma.f64 n (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))) (.f64 n (.f64 n n))))
(+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x))))
(fma.f64 (.f64 x n) (fma.f64 x (fma.f64 n (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64))))
n
(+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))
(*.f64 x (fma.f64 x (fma.f64 n (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))
(* x (+ (* x (+ (* x 1/3) -1/2)) 1))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
x
(+ (* x (+ (* x 1/3) -1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ (* x 1/3) -1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(* (* x x) (+ (* x -1/2) 1/2))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(* x x)
(*.f64 x x)
(+ (* x -1/2) 1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/6 (* x (* x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* n (* n n))
(.f64 n (.f64 n n))
(* n n)
(*.f64 n n)
(+ (* x (/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)) (- 1 (pow x (/ 1 n))))
(-.f64 (fma.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/6 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
x
(/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)
(/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/6 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) n)
(+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1))
(fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/6 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))
(+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))
(+ (* x 1/3) -1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (+ (* x -1/2) 1/2) n)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)
(+ (* x -1/2) 1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
n
(+ (* 1/6 (/ (* x x) (* n n))) 1)
(fma.f64 x (.f64 #s(literal 1/6 binary64) (/.f64 x (.f64 n n))) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(/ (* x x) (* n n))
(/.f64 (.f64 x x) (.f64 n n))
(* x x)
(*.f64 x x)
(* n n)
(*.f64 n n)
1
#s(literal 1 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- 1 (pow x (* 2 (/ 1 n))))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
1
#s(literal 1 binary64)
(pow x (* 2 (/ 1 n)))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
x
(* 2 (/ 1 n))
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(+ 1 (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize295.0ms (1.1%)

Memory

12.2MiB live, 365.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	accuracy	55.3%	(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
✓	accuracy	99.2%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	accuracy	94.0%	(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n)
✓	accuracy	81.5%	(/.f64 (.f64 x x) (.f64 n n))
✓	accuracy	55.3%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	92.8%	(fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	accuracy	66.8%	(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.9%	(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
✓	accuracy	99.8%	(/.f64 (log1p.f64 x) n)
✓	accuracy	64.8%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

110.0ms	78×	2	valid
41.0ms	49×	1	valid
34.0ms	83×	0	valid
18.0ms	46×	0	exit

Compiler

Compiled 397 to 52 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-pow: 41.0ms (25% of total)

ival-mult: 31.0ms (18.9% of total)

adjust: 21.0ms (12.8% of total)

ival-add: 20.0ms (12.2% of total)

ival-div: 19.0ms (11.6% of total)

ival-sub: 8.0ms (4.9% of total)

ival-exp: 8.0ms (4.9% of total)

const: 8.0ms (4.9% of total)

ival-log1p: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series42.0ms (0.2%)

Memory

-17.8MiB live, 55.2MiB allocated

Counts

22 → 432

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)>
#<alt (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))>
#<alt (/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))>
#<alt (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x))))>
#<alt (* x (+ (* x (+ (* x 1/3) -1/2)) 1))>
#<alt (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1))>
#<alt (+ (* x (/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)) (- 1 (pow x (/ 1 n))))>
#<alt (/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)>
#<alt (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))>
#<alt (* 2 (/ 1 n))>
#<alt (/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))>
#<alt (- 1 (pow x (* 2 (/ 1 n))))>
#<alt (pow x (* 2 (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (* 1/6 (* x (* x x)))>
#<alt (+ (* x 1/3) -1/2)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (/ (* x x) (* 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)>
#<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 (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))>
#<alt (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))>
#<alt (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))>
#<alt (* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))>
#<alt (* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))>
#<alt (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))>
#<alt (* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))>
#<alt (* n x)>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))>
#<alt (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))>
#<alt (* (pow x 3) (- (* 1/3 n) 1/2))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ n x)) (+ (* 1/3 n) (* 1/2 (/ 1 x)))) 1/2))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ n x)) (+ (* 1/3 n) (+ (* 1/2 (/ 1 x)) (/ n (pow x 2))))) 1/2))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ n x)) (+ (* 1/3 n) (+ (* 1/2 (/ 1 x)) (/ n (pow x 2))))) 1/2))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1/3 n))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 n)) x)) (* -1/3 n)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 n) (/ n x))) x)) (* -1/3 n)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 n) (/ n x))) x)) (* -1/3 n)))))>
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)>
#<alt (/ (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) n)>
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n))) 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))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* 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 (/ (* (pow x 3) (+ 1/6 (* n (- (* 1/3 n) 1/2)))) (pow n 3))>
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#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (pow (log x) 4)) (+ (* -1/2 (* (log x) (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))))) (+ (* -1/12 (pow (log x) 4)) (* 1/4 (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) n)) (* 2/3 (pow (log x) 3))) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* -2 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -2 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -2 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -2 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (- 1 (exp (* 2 (/ (log x) n))))>
#<alt (* -2 (/ (log x) n))>
#<alt (/ (- (* -2 (/ (pow (log x) 2) n)) (* 2 (log x))) n)>
#<alt (/ (- (* -4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -2 (/ (log x) n))>
#<alt (* -1 (/ (- (* 2 (/ (pow (log x) 2) n)) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow (log x) 4) n)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log x) 3) (pow n 3))) (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -1 (/ (+ (* 4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n))) 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)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>
#<alt (/ (pow x 2) (pow n 2))>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	n	@	0	(/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))
2.0ms	n	@	-inf	(/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))
1.0ms	n	@	inf	(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
1.0ms	x	@	0	(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
1.0ms	x	@	-inf	(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))

rewrite422.0ms (1.6%)

Memory

17.9MiB live, 552.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 176×	`accelerator-lowering-fma.f32`
4 176×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
3 550×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	305
1	360	279
2	3479	279
0	8953	241

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 791

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)
(+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))
(/ (+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x)))) (* n (* n n)))
(+ (* n (+ (* n (* x (+ (* x (+ (* x 1/3) -1/2)) 1))) (* (* x x) (+ (* x -1/2) 1/2)))) (* 1/6 (* x (* x x))))
(* x (+ (* x (+ (* x 1/3) -1/2)) 1))
(+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1))
(+ (* x (/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)) (- 1 (pow x (/ 1 n))))
(/ (+ (* x (+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))) (+ (* 1/6 (/ (* x x) (* n n))) 1)) n)
(+ (+ (* x 1/3) -1/2) (/ (+ (* x -1/2) 1/2) n))
(* 2 (/ 1 n))
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (* 2 (/ 1 n))))
(pow x (* 2 (/ 1 n)))
(pow x (/ 1 n))
(* 1/6 (* x (* x x)))
(+ (* x 1/3) -1/2)
(- 1 (pow x (/ 1 n)))
(/ (* x x) (* n n))

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

simplify393.0ms (1.5%)

Memory

19.0MiB live, 595.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 964×	`accelerator-lowering-fma.f32`
7 964×	`accelerator-lowering-fma.f64`
5 908×	`+-lowering-+.f64`
5 908×	`+-lowering-+.f32`
5 022×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	915	7976
1	2956	7643
0	8273	7093

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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)))
(/ x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* -1 (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(* n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))
(* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))
(* n (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))
(* n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))
(* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))
(* -1 (* n (+ (* -1 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))))
(* n x)
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(/ (- (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -2/3 (/ (pow (log x) 3) (pow n 2))) (* -1/3 (/ (pow (log x) 4) (pow n 3)))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/4 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/12 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/4 (/ (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))) (pow n 3))) (+ (* 1/2 (/ (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))) (pow n 2))) (* 1/2 (/ (* (log x) (- (* -2/3 (pow (log x) 3)) (+ (* -1/4 (pow (log x) 3)) (* 1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) (pow n 3))))))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (pow (log x) 4)) (+ (* -1/2 (* (log x) (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))))) (+ (* -1/12 (pow (log x) 4)) (* 1/4 (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) n)) (* 2/3 (pow (log x) 3))) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))
(- 1 (exp (* 2 (/ (log x) n))))
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(- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(* -2 (/ (log x) n))
(/ (- (* -2 (/ (pow (log x) 2) n)) (* 2 (log x))) n)
(/ (- (* -4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)
(* -2 (/ (log x) n))
(* -1 (/ (- (* 2 (/ (pow (log x) 2) n)) (* -2 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow (log x) 4) n)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
1
(+ 1 (* 2 (/ (log x) n)))
(+ 1 (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log x) 3) (pow n 3))) (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2))))))
1
(+ 1 (* 2 (/ (log x) n)))
(+ 1 (* -1 (/ (+ (* -2 (log x)) (* -2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log x)) (* -1 (/ (+ (* 4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n))) 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)))
(* 1/6 (pow x 3))
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(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(- 1 (exp (/ (log x) n)))
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(- 1 (exp (/ (log x) n)))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(* -1 (/ (log x) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))
(/ (pow x 2) (pow n 2))

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

eval202.0ms (0.8%)

Memory: -7.9MiB live, 303.2MiB allocated
Compiler: Compiled 54 625 to 3 821 computations (93% saved)

prune201.0ms (0.8%)

Memory

4.5MiB live, 322.1MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 332	24	1 356
Fresh	7	17	24
Picked	5	0	5
Done	0	2	2
Total	1 344	43	1 387

Accuracy

99.8%

Counts

1 387 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	13.3%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
	30.2%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	27.0%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	28.2%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
	8.3%	(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
	8.3%	(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
	8.0%	(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
	9.1%	(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
	60.1%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	8.8%	(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
	8.8%	(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
▶	44.3%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
	60.4%	(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
	24.2%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)) (.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
	32.5%	(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))))) n)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 n))
	56.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	28.5%	(/.f64 (-.f64 x (log.f64 x)) n)
	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	24.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	44.0%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
	8.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
	11.1%	(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
	4.1%	(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
	3.1%	(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
	10.7%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
	8.0%	(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
▶	28.9%	(/.f64 (log.f64 x) (neg.f64 n))
	60.1%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	4.4%	(/.f64 x n)
	16.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	58.1%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	64.4%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.3%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	21.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
▶	58.1%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	42.5%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.9%	(.f64 (fma.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) x))
	9.0%	(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
	6.8%	(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
▶	30.8%	#s(literal 0 binary64)

Compiler

Compiled 1 960 to 1 100 computations (43.9% saved)

simplify277.0ms (1.1%)

Memory

-2.9MiB live, 284.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 x n)
✓	cost-diff	0	(exp.f64 (/.f64 x n))
✓	cost-diff	0	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(neg.f64 n)
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(/.f64 (log.f64 x) (neg.f64 n))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n)
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
✓	cost-diff	0	(/.f64 (neg.f64 (log1p.f64 x)) n)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)))
✓	cost-diff	6272	(exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))

Rules

3 456×	`accelerator-lowering-fma.f32`
3 456×	`accelerator-lowering-fma.f64`
2 016×	`/-lowering-/.f32`
2 016×	`/-lowering-/.f64`
1 648×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
1	52	155
2	89	155
3	154	154
4	312	154
5	557	154
6	871	154
7	1137	154
8	1523	154
9	2514	154
10	4547	154
11	5098	154
12	5267	154
13	5340	154
14	5364	154
15	7047	154
0	8105	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize332.0ms (1.3%)

Memory

12.7MiB live, 286.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	99.9%	(exp.f64 (/.f64 x n))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	66.2%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.6%	(/.f64 (log.f64 x) (neg.f64 n))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	accuracy	94.1%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n)
✓	accuracy	99.9%	(exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))
✓	accuracy	99.9%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.8%	(/.f64 (neg.f64 (log1p.f64 x)) n)
✓	accuracy	64.8%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

173.0ms	49×	1	valid
91.0ms	78×	2	valid
27.0ms	116×	0	valid
3.0ms	13×	0	exit

Compiler

Compiled 151 to 29 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-div: 152.0ms (57.1% of total)

adjust: 41.0ms (15.4% of total)

ival-sub: 25.0ms (9.4% of total)

ival-pow: 14.0ms (5.3% of total)

ival-exp: 11.0ms (4.1% of total)

ival-log1p: 6.0ms (2.3% of total)

const: 5.0ms (1.9% of total)

ival-add: 4.0ms (1.5% of total)

ival-neg: 3.0ms (1.1% of total)

ival-log: 3.0ms (1.1% of total)

ival-mult: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series66.0ms (0.3%)

Memory

-3.2MiB live, 69.6MiB allocated

Counts

16 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
20.0ms	n	@	-inf	(- (/ 1 (exp (/ (neg (log (+ 1 x))) n))) (pow x (/ 1 n)))
13.0ms	n	@	0	(/ (log x) (neg n))
8.0ms	n	@	inf	(/ (log x) (neg n))
1.0ms	n	@	0	(/ (/ (+ (/ 1/3 (* x x)) (+ 1 (/ -1/2 x))) n) x)
1.0ms	x	@	-inf	(/ 1 (exp (/ (neg (log (+ 1 x))) n)))

rewrite331.0ms (1.3%)

Memory

7.1MiB live, 596.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 876×	`accelerator-lowering-fma.f32`
5 876×	`accelerator-lowering-fma.f64`
4 536×	`/-lowering-/.f32`
4 536×	`/-lowering-/.f64`
3 208×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
1	171	113
2	1528	112
0	8361	102

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 615

Calls

Call 1

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

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

simplify707.0ms (2.7%)

Memory

-49.0MiB live, 757.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 998×	`accelerator-lowering-fma.f32`
9 998×	`accelerator-lowering-fma.f64`
4 260×	`+-lowering-+.f64`
4 260×	`+-lowering-+.f32`
4 080×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	619	4973
1	1987	4459
2	6200	4398
0	8167	4119

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x n)))
(-.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (- (* x (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (* x (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/6 (/ 1 (pow n 3))))))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal -1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(exp (/ (log (/ 1 x)) n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(+ (exp (/ (log (/ 1 x)) n)) (* -1 (/ (exp (/ (log (/ 1 x)) n)) (* n x))))
(-.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)))
(+ (exp (/ (log (/ 1 x)) n)) (+ (* -1 (/ (exp (/ (log (/ 1 x)) n)) (* n x))) (/ (* (exp (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (.f64 x x)) (-.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
(+ (exp (/ (log (/ 1 x)) n)) (+ (* -1 (/ (exp (/ (log (/ 1 x)) n)) (* n x))) (+ (* -1 (/ (* (exp (/ (log (/ 1 x)) n)) (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/6 (/ 1 (pow n 3)))))) (pow x 3))) (/ (* (exp (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))))
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (.f64 x x)) (-.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (.f64 x n)))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x (*.f64 x x))))
(exp (* -1 (/ (+ (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))) (neg.f64 n)))
(+ (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (exp (* -1 (/ (+ (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))) (neg.f64 n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) (*.f64 x n)))
(+ (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) (/ (exp (* -1 (/ (+ (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))) (neg.f64 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) n)) x))
(+ (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/6 (/ 1 (pow n 3)))))) x)) (* (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) x)) (/ (exp (* -1 (/ (+ (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))) (neg.f64 n))) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) n) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))))) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)))) x)) x)) x))
(exp (* -1 (/ (log (+ 1 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(exp (* -1 (/ (log (+ 1 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(exp (* -1 (/ (log (+ 1 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(exp (* -1 (/ (log (+ 1 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (log (+ 1 x)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* -1 (/ (log (+ 1 x)) n)) (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* -1 (/ (log (+ 1 x)) n)) (+ (* -1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (log (+ 1 x)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (log (+ 1 x)) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) (log1p.f64 x)) n))
(+ 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 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (/ 1 (pow n 2)) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* -1 (* x (+ (* -1 (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))))) (+ (* -1 (/ (- (/ 1 (pow n 2)) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))))) (/ 1 (pow n 2))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 n (.f64 n n)))) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) n))) (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/ 1 (exp (/ (log (/ 1 x)) n)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(+ (/ 1 (exp (/ (log (/ 1 x)) n))) (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n))))))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (.f64 x n))))
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(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(exp (/ (log x) n))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(exp (/ (log x) n))
(pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (log.f64 x) n) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
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 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 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 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

eval193.0ms (0.7%)

Memory: 23.1MiB live, 291.6MiB allocated
Compiler: Compiled 24 669 to 2 584 computations (89.5% saved)

prune186.0ms (0.7%)

Memory

-19.1MiB live, 303.2MiB allocated

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	997	19	1 016
Fresh	11	25	36
Picked	2	3	5
Done	0	2	2
Total	1 010	49	1 059

Accuracy

99.9%

Counts

1 059 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.3%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
	30.2%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	27.0%	(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	28.2%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
	9.1%	(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
	60.1%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	8.8%	(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
	31.5%	(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
	44.5%	(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
	44.2%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
	24.2%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
	60.4%	(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
	44.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
	37.7%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	43.8%	(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
	24.2%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)) (.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
	56.5%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	28.5%	(/.f64 (-.f64 x (log.f64 x)) n)
	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	24.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
	24.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	15.4%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)))))
	8.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
	11.1%	(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
	4.1%	(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
	3.1%	(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
	36.1%	(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
✓	28.9%	(/.f64 (log.f64 x) (neg.f64 n))
	60.1%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	4.4%	(/.f64 x n)
	44.0%	(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
	37.5%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	45.6%	(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
	28.8%	(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
	58.1%	(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	64.4%	(-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	21.7%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) #s(literal 1 binary64))
✓	36.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.3%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
✓	58.1%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.4%	(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓	42.5%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.9%	(.f64 (fma.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) x))
	9.0%	(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
	44.2%	(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
	28.8%	(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
	6.8%	(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
✓	30.8%	#s(literal 0 binary64)

Compiler

Compiled 2 606 to 864 computations (66.8% saved)

regimes96.0ms (0.4%)

Memory

32.5MiB live, 227.7MiB 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (fma.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))))) n)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 n))
(-.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 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) 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 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
(.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))) (.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))) (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 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 (pow.f64 x (/.f64 #s(literal 2 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.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))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)) (.f64 (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))

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

Calls

4 calls:

26.0ms	n
23.0ms	x
23.0ms	(/.f64 #s(literal 1 binary64) n)
19.0ms	(-.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
76.5%	2	`x`
90.4%	4	`n`
88.2%	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)))`
90.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes28.0ms (0.1%)

Memory

-14.3MiB live, 60.5MiB allocated

Counts

77 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (fma.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))))) n)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 n))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Outputs
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.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
90.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.1%)

Memory

9.1MiB live, 49.5MiB allocated

Counts

66 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
90.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.1%)

Memory

8.4MiB live, 45.0MiB allocated

Counts

60 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (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)))

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

Calls

1 calls:

18.0ms

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

Results

Accuracy	Segments	Branch
90.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes56.0ms (0.2%)

Memory

-9.9MiB live, 103.7MiB allocated

Counts

55 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))

Calls

3 calls:

19.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
17.0ms	n
17.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
86.2%	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)))`
88.8%	5	`n`
88.8%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes78.0ms (0.3%)

Memory

-4.1MiB live, 153.3MiB allocated

Counts

54 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (.f64 (neg.f64 (.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (/.f64 x n) x) n) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))

Outputs

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

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

Calls

4 calls:

21.0ms	n
17.0ms	(/.f64 #s(literal 1 binary64) n)
15.0ms	x
12.0ms	(-.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
74.4%	2	`x`
76.3%	4	`n`
73.4%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
77.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes61.0ms (0.2%)

Memory

35.2MiB live, 149.8MiB allocated

Counts

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

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

Calls

4 calls:

16.0ms	x
15.0ms	n
15.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	(-.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
74.4%	4	`n`
71.5%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
75.1%	4	`(/.f64 #s(literal 1 binary64) n)`
75.7%	4	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes35.0ms (0.1%)

Memory

1.8MiB live, 80.6MiB allocated

Counts

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

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

Calls

2 calls:

17.0ms	x
15.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
75.1%	4	`(/.f64 #s(literal 1 binary64) n)`
72.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes29.0ms (0.1%)

Memory

-8.9MiB live, 67.4MiB allocated

Counts

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

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

Calls

2 calls:

14.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	(-.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
68.9%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
76.1%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes18.0ms (0.1%)

Memory

-2.3MiB live, 39.0MiB allocated

Counts

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

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
76.1%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes92.0ms (0.4%)

Memory

22.4MiB live, 95.7MiB allocated

Counts

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

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

Calls

4 calls:

38.0ms	x
29.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	n
10.0ms	(-.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
58.1%	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)))`
61.4%	3	`x`
67.8%	5	`n`
68.5%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes51.0ms (0.2%)

Memory

10.1MiB live, 80.2MiB allocated

Counts

39 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)

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

Calls

3 calls:

21.0ms	n
17.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	x

Results

Accuracy	Segments	Branch
59.3%	3	`x`
61.9%	4	`n`
62.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.1%)

Memory

-24.9MiB live, 52.4MiB allocated

Counts

37 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))

Outputs

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

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

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

Calls

2 calls:

12.0ms	n
11.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
60.7%	4	`n`
59.3%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes59.0ms (0.2%)

Memory

-22.2MiB live, 94.9MiB allocated

Counts

35 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(.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 (.f64 x x)))
(fma.f64 x (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) (.f64 n n)) #s(literal 1 binary64))) n) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) n) (*.f64 n n))
(/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 n (fma.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 n (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (.f64 x x) x))))) (*.f64 n n)) n)
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (fma.f64 n (+.f64 (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 n n) (.f64 x x))))) (.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 n n) x)) (neg.f64 x)) (fma.f64 n (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (.f64 (+.f64 (fma.f64 n #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 n (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (*.f64 n n)))

Outputs

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

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

Calls

4 calls:

27.0ms	n
11.0ms	x
10.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	(-.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
51.0%	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)))`
58.3%	4	`n`
52.6%	2	`x`
56.0%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory

-20.5MiB live, 18.0MiB allocated

Counts

19 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
55.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

18 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x n))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
55.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

16 → 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) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (.f64 x (.f64 n n)) (.f64 n (.f64 n n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x n))) x)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) x)
(/.f64 (.f64 x (.f64 n (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) (.f64 n (.f64 n n)))
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) n) x)
(/.f64 (fma.f64 n (.f64 x n) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 n (.f64 n n)))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
55.6%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0%)

Memory

-8.5MiB live, 28.1MiB allocated

Counts

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

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

Calls

4 calls:

5.0ms	n
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	(-.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
43.0%	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)))`
46.0%	2	`x`
46.6%	3	`n`
46.6%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.4MiB allocated

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
46.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Memory

-19.3MiB live, 20.2MiB allocated

Accuracy

Total -17.6b remaining (-39.8%)

Threshold costs -17.6b (-39.8%)

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

4 calls:

3.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	x
2.0ms	n
1.0ms	(-.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
30.8%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
30.8%	1	`(/.f64 #s(literal 1 binary64) n)`
30.8%	1	`n`
30.8%	1	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	1.3144811492210129e-50	8.317129685792816e-49
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	1.3144811492210129e-50	8.317129685792816e-49
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	1.3144811492210129e-50	8.317129685792816e-49
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

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	0.6302397253770107	1.4374697554966112
0.0ms	1.3144811492210129e-50	8.317129685792816e-49
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

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	0.6302397253770107	1.4374697554966112
0.0ms	1.3144811492210129e-50	8.317129685792816e-49
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch22.0ms (0.1%)

Memory

6.7MiB live, 49.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.3398529066918258e-5	8.06876355986311e-5

Samples

7.0ms	21×	2	valid
6.0ms	36×	0	valid
4.0ms	23×	1	valid

Compiler

Compiled 263 to 163 computations (38% saved)

Precisions

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

ival-pow: 9.0ms (60.1% of total)

ival-add: 3.0ms (20% of total)

adjust: 1.0ms (6.7% of total)

ival-div: 1.0ms (6.7% of total)

ival-sub: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch77.0ms (0.3%)

Memory

5.4MiB live, 162.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.3398529066918258e-5	8.06876355986311e-5
25.0ms	3.079551097788625e-134	1.6020576556633077e-133
29.0ms	2.5181139474045887e-168	1.1053734156845389e-166

Samples

26.0ms	112×	1	valid
19.0ms	50×	2	valid
12.0ms	125×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 699 to 455 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 33.0ms (70.3% of total)

ival-div: 4.0ms (8.5% of total)

adjust: 4.0ms (8.5% of total)

ival-add: 3.0ms (6.4% of total)

ival-sub: 2.0ms (4.3% 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

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	2.814900747394073e-190	9.450195401972995e-187
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

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	4.828604734750428e+114	1.5930628563807433e+133
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	2.814900747394073e-190	9.450195401972995e-187
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

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	4.828604734750428e+114	1.5930628563807433e+133
0.0ms	0.6302397253770107	1.4374697554966112
0.0ms	2.814900747394073e-190	9.450195401972995e-187
0.0ms	-2.030040467408789e-11	-2.1505579883031111e-19

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch2.0ms (0%)

Memory

-37.4MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.828604734750428e+114	1.5930628563807433e+133
0.0ms	0.6302397253770107	1.4374697554966112
1.0ms	-2.0177375425739602e-294	-2.1342514280529377e-302
0.0ms	-1.2373487308308264	-0.00034774714918648286

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	397202.5439383514	1721855522.4055886
0.0ms	-2.0177375425739602e-294	-2.1342514280529377e-302
0.0ms	-1.2373487308308264	-0.00034774714918648286

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.0177375425739602e-294	-2.1342514280529377e-302
0.0ms	-1.2373487308308264	-0.00034774714918648286

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0001450796302776845	-3.432814956165914e-9

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	-0.0001450796302776845	-3.432814956165914e-9

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	-0.0001450796302776845	-3.432814956165914e-9

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	-1.2373487308308264	-0.00034774714918648286

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch58.0ms (0.2%)

Memory

14.5MiB live, 131.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	8.420319171749453e+63	8.611469793708937e+71

Samples

24.0ms	52×	2	valid
12.0ms	62×	0	valid
8.0ms	30×	1	valid
3.0ms	34×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 126 to 103 computations (18.3% saved)

Precisions

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

ival-pow: 20.0ms (67.4% of total)

adjust: 4.0ms (13.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch49.0ms (0.2%)

Memory

16.8MiB live, 93.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	8.420319171749453e+63	8.611469793708937e+71

Samples

19.0ms	52×	2	valid
11.0ms	41×	1	valid
8.0ms	51×	0	valid
2.0ms	25×	0	exit

Compiler

Compiled 126 to 103 computations (18.3% saved)

Precisions

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

ival-pow: 21.0ms (69.9% of total)

adjust: 3.0ms (10% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

simplify25.0ms (0.1%)

Memory

11.0MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative_binary64`
36×	`*-commutative_binary64`
36×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	869
1	187	869
2	218	868
3	245	868
4	254	868
5	256	868

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.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 -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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#s(literal 0 binary64)

Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log1p.f64 x) (neg.f64 n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 n x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 x #s(literal 499999999999999972661166934123722562854823285010623962332920807424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.9s (7.5%)

Memory

3.4MiB live, 1 822.1MiB allocated

Rules

13 074×	`accelerator-lowering-fma.f32`
13 074×	`accelerator-lowering-fma.f64`
9 998×	`accelerator-lowering-fma.f32`
9 998×	`accelerator-lowering-fma.f64`
7 970×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	321
1	334	321
2	4426	321
0	9284	283
0	52	305
1	360	279
2	3479	279
0	8953	241
0	915	7976
1	2956	7643
0	8273	7093
0	27	117
1	171	113
2	1528	112
0	8361	102
0	619	4973
1	1987	4459
2	6200	4398
0	8167	4119
0	8	31
1	58	31
2	402	31
3	4324	31
0	8399	27
0	1044	8928
1	3328	8501
0	8138	8119
0	263	1714
1	761	1578
2	2116	1504
3	7455	1498
0	8736	1380

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 2 050 to 946 computations (53.9% saved)

preprocess213.0ms (0.8%)

Memory: -24.0MiB live, 401.3MiB allocated
Compiler: Compiled 1 770 to 310 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
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	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
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

analyze231.0ms (0.9%)

sample14.0s (54.1%)

preprocess30.0ms (0.1%)

explain245.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0%)

localize104.0ms (0.4%)

series116.0ms (0.4%)

rewrite1.1s (4.3%)

simplify527.0ms (2%)

eval63.0ms (0.2%)

prune68.0ms (0.3%)

simplify345.0ms (1.3%)

localize300.0ms (1.2%)

series133.0ms (0.5%)

rewrite561.0ms (2.2%)

simplify432.0ms (1.7%)

eval218.0ms (0.8%)

prune184.0ms (0.7%)

simplify428.0ms (1.7%)

localize295.0ms (1.1%)

series42.0ms (0.2%)

rewrite422.0ms (1.6%)

simplify393.0ms (1.5%)

eval202.0ms (0.8%)

prune201.0ms (0.8%)

simplify277.0ms (1.1%)

localize332.0ms (1.3%)

series66.0ms (0.3%)

rewrite331.0ms (1.3%)

simplify707.0ms (2.7%)

eval193.0ms (0.7%)

prune186.0ms (0.7%)

regimes96.0ms (0.4%)

regimes28.0ms (0.1%)

regimes25.0ms (0.1%)

regimes22.0ms (0.1%)

regimes56.0ms (0.2%)

regimes78.0ms (0.3%)

regimes61.0ms (0.2%)

regimes35.0ms (0.1%)

regimes29.0ms (0.1%)

regimes18.0ms (0.1%)

regimes92.0ms (0.4%)

regimes51.0ms (0.2%)

regimes25.0ms (0.1%)

regimes59.0ms (0.2%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes13.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.1%)

bsearch77.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch58.0ms (0.2%)

bsearch49.0ms (0.2%)

simplify25.0ms (0.1%)

soundness1.9s (7.5%)

preprocess213.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
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