Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze224.0ms (1%)

Memory

10.5MiB live, 366.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.8s (64.3%)

Memory

150.1MiB live, 13 316.2MiB allocated

Samples

9.8s	4 764×	5	exit
1.5s	2 809×	2	valid
1.2s	2 781×	1	valid
597.0ms	2 274×	1	exit
321.0ms	1 629×	0	exit
255.0ms	2 666×	0	valid
30.0ms	2×	2	exit
26.0ms	9×	4	exit
2.0ms	3×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 12.3s

ival-pow: 9.7s (79.2% of total)

adjust: 1.1s (9.3% of total)

ival-div: 559.0ms (4.5% of total)

ival-sub: 468.0ms (3.8% of total)

ival-add: 355.0ms (2.9% of total)

ival-true: 16.0ms (0.1% of total)

exact: 12.0ms (0.1% of total)

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

Bogosity

explain200.0ms (0.9%)

Memory

-13.3MiB live, 268.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
115	31	(1.040343539353958e+179 -1.6239087670238386e+143)	0	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
40	33	(2.6382504834372074e-284 3.3393681355769064e-124)	35	(4.3484446449264665e-204 2.441765347095166e-288)	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	0	-	`n`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	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	146	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	38	0

Confusion

	Predicted +	Predicted -
+	118	20
-	66	52

Precision

0.6413043478260869

Recall

0.855072463768116

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	20
-	66	0	52

Precision?

0.6413043478260869

Recall?

0.855072463768116

Freqs

test

number	freq
0	72
1	184

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

43.9052734375

Average Time

0.17150497436523438

Samples

40.0ms	130×	1	valid
36.0ms	83×	2	valid
4.0ms	43×	0	valid

Compiler

Compiled 117 to 50 computations (57.3% saved)

Precisions

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

ival-pow: 42.0ms (62.6% of total)

adjust: 14.0ms (20.9% of total)

ival-div: 5.0ms (7.5% of total)

ival-add: 3.0ms (4.5% of total)

ival-sub: 3.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess59.0ms (0.3%)

Memory

-17.8MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

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
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (0.5%)

Memory

7.6MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	8.940227167021193	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	26.772704988359145	(-.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

72.0ms	130×	1	valid
36.0ms	83×	2	valid
4.0ms	43×	0	valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-pow: 79.0ms (80.9% of total)

adjust: 8.0ms (8.2% of total)

ival-div: 5.0ms (5.1% of total)

ival-add: 3.0ms (3.1% of total)

ival-sub: 3.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 43

Calls

Call 1

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

Outputs
(- 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)))
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))))
(+ 1 x)
(/ (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 (* -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)))))
x
(* x (+ 1 (/ 1 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) (* -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 x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 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 (/ (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))) (* -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 (/ (+ (* -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)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
2.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))

simplify204.0ms (0.9%)

Memory

7.1MiB live, 118.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1357
1	700	1251
2	1966	1182
3	6919	1182
0	8117	1082

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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)))
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))))
(+ 1 x)
(/ (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 (* -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)))))
x
(* x (+ 1 (/ 1 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) (* -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 x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 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 (/ (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))) (* -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 (/ (+ (* -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)))

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 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 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)))
(fma.f64 (.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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))) (- (+ (* 1/24 (/ 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 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(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 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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)) (/ (* (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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (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)))))
(fma.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) 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 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))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (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)) 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 (.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 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) x) (/.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 (/ (+ (* -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 (-.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 #s(literal 1/2 binary64) 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 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) x))) x)) x) (/.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))
(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 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (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)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (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)) n)) x) (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)) (* -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 (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 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) 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.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.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 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (+.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (/.f64 #s(literal 1/6 binary64) n) (log.f64 x))) (log1p.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 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x))) (-.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (/.f64 #s(literal 1/6 binary64) n) (log.f64 x))) (.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n)
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(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
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(+ 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))))
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(* -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 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n) (-.f64 (log.f64 x) (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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.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 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.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))) (neg.f64 n))) n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (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 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) (log1p.f64 x)) n))

rewrite280.0ms (1.2%)

Memory

6.8MiB live, 124.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	63	26
2	407	26
3	4335	26
0	8433	22

Stop Event

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

Counts

4 → 271

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)))
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
(.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (-.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) n) #s(literal -3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) n) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) n) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) n) (pow.f64 n #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) n) (.f64 (.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) n) (.f64 #s(literal 2 binary64) n)))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 (pow.f64 n #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) n) (.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) n) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal -1 binary64))) (.f64 (.f64 #s(literal 2 binary64) n) (.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) n) (pow.f64 n #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (.f64 (.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 n n)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 n)))

eval124.0ms (0.5%)

Memory: -14.0MiB live, 64.6MiB allocated
Compiler: Compiled 10 290 to 1 319 computations (87.2% saved)

prune23.0ms (0.1%)

Memory

-3.3MiB live, 33.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	356	11	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	356	12	368

Accuracy

99.9%

Counts

368 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	58.2%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	13.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
	33.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	37.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 663 to 392 computations (40.9% saved)

simplify463.0ms (2%)

Memory

-220.4MiB live, 123.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
cost-diff	1024	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	264
0	60	264
1	88	264
2	147	264
3	343	264
4	826	262
5	2089	262
6	4877	258
7	6476	258
8	7522	258
0	8037	256

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)

Outputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal 1/2 binary64) n)
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(expm1.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)

localize309.0ms (1.3%)

Memory

-3.5MiB live, 231.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	0.296875	(/.f64 (log.f64 x) n)
accuracy	17.927835893883152	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
accuracy	29.602194020600813	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
accuracy	0	(log.f64 x)
accuracy	0.2109375	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	22.95495639459274	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	26.473828370212953	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.015625	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy	0.14453125	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy	28.933911643312047	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
accuracy	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	18.14652802032629	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	26.772704988359145	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0	(log1p.f64 x)
accuracy	0	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.15234375	(/.f64 (log1p.f64 x) n)
accuracy	26.772704988359145	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Samples

183.0ms	96×	2	valid
90.0ms	147×	1	valid
3.0ms	13×	0	valid

Compiler

Compiled 506 to 67 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-pow: 63.0ms (29.8% of total)

ival-sub: 35.0ms (16.6% of total)

ival-div: 29.0ms (13.7% of total)

adjust: 23.0ms (10.9% of total)

ival-expm1: 19.0ms (9% of total)

ival-log: 11.0ms (5.2% of total)

ival-log1p: 10.0ms (4.7% of total)

ival-exp: 8.0ms (3.8% of total)

ival-mult: 7.0ms (3.3% of total)

ival-add: 5.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series209.0ms (0.9%)

Memory

12.1MiB live, 281.4MiB allocated

Counts

21 → 131

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(log.f64 x)
(/.f64 (log.f64 x) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))

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

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	n	@	0	((- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (log x) (/ (log x) n) (/ 1/2 (* n n)))
43.0ms	x	@	-inf	((- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (log x) (/ (log x) n) (/ 1/2 (* n n)))
34.0ms	n	@	-inf	((- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (log x) (/ (log x) n) (/ 1/2 (* n n)))
30.0ms	x	@	0	((- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (log x) (/ (log x) n) (/ 1/2 (* n n)))
29.0ms	x	@	inf	((- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (log x) (/ (log x) n) (/ 1/2 (* n n)))

simplify159.0ms (0.7%)

Memory

32.1MiB live, 225.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	2854
1	1700	2649
2	4635	2601
0	8384	2444

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 130

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

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

rewrite207.0ms (0.9%)

Memory

-12.6MiB live, 270.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	207
0	60	197
1	276	191
2	2273	191
0	8909	191

Stop Event

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

Counts

21 → 727

Calls

Call 1

Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(log.f64 x)
(/.f64 (log.f64 x) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))

Outputs
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64)) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) (neg.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)))) (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log1p.f64 x) 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))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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eval166.0ms (0.7%)

Memory: 18.0MiB live, 241.5MiB allocated
Compiler: Compiled 33 427 to 3 690 computations (89% saved)

prune52.0ms (0.2%)

Memory

-5.7MiB live, 84.0MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	982	27	1 009
Fresh	4	2	6
Picked	3	2	5
Done	1	0	1
Total	990	31	1 021

Accuracy

100.0%

Counts

1 021 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	22.7%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	54.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
✓	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	16.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))))))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	50.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
	57.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	40.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
▶	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
▶	57.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	13.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
▶	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	4.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n (.f64 (*.f64 x x) #s(literal 1/2 binary64))) n) n)))
	7.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 (.f64 x (/.f64 x n)) #s(literal 1/2 binary64)) n)))
	6.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))

Compiler

Compiled 1 960 to 1 167 computations (40.5% saved)

simplify124.0ms (0.5%)

Memory

4.6MiB live, 125.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
cost-diff	5888	(neg.f64 (pow.f64 n #s(literal -1 binary64)))
cost-diff	12544	(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64))))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	6464	(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
cost-diff	384	(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	5760	(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
cost-diff	0	(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	6464	(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	524
0	102	524
1	157	519
2	246	507
3	414	501
4	849	501
5	2331	501
6	5391	493
0	8249	487

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (1.2%)

Memory

-17.7MiB live, 409.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))
accuracy	0.08984375	(/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)
accuracy	3.5178907453598365	(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64))))))
accuracy	20.440269252163205	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
accuracy	1.6624731921260887	(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	3.289057339587202	(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n))
accuracy	10.303105639313712	#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	13.53361626226644	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.07421875	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)
accuracy	0.15625	(/.f64 #s(literal 1/3 binary64) n)
accuracy	10.032931265482725	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
accuracy	20.03566263003894	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.09765625	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
accuracy	10.032931265482725	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
accuracy	20.070363854994582	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.3386446101210532	(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.3412476562950723	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	7.585771197752029	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy	10.032931265482725	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))

Samples

100.0ms	68×	1	valid
70.0ms	42×	2	valid
66.0ms	139×	0	invalid
3.0ms	7×	0	valid

Compiler

Compiled 966 to 119 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-pow: 75.0ms (37.1% of total)

ival-div: 35.0ms (17.3% of total)

adjust: 21.0ms (10.4% of total)

ival-sub: 13.0ms (6.4% of total)

ival-mult: 12.0ms (5.9% of total)

ival-add: 11.0ms (5.4% of total)

ival-exp: 10.0ms (4.9% of total)

ival-log1p: 7.0ms (3.5% of total)

ival-log: 6.0ms (3% of total)

const: 5.0ms (2.5% of total)

ival-pow2: 4.0ms (2% of total)

ival-neg: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series193.0ms (0.8%)

Memory

11.9MiB live, 221.1MiB allocated

Counts

25 → 178

Calls

Call 1

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

Outputs
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(- 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)))
(* -1 (/ n (pow (log x) 3)))
(+ (* -1 (/ n (pow (log x) 3))) (* -1 (/ (* n (pow x 3)) (pow (log x) 6))))
(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* 3/2 (/ (* n x) (pow (log x) 6))) (/ n (pow (log x) 6)))))
(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* x (- (* -7/4 (/ (* n x) (pow (log x) 6))) (* -3/2 (/ n (pow (log x) 6))))) (/ n (pow (log x) 6)))))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ 1 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))
(/ 1/3 (* n x))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) x)
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))))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(* (sqrt (/ 1 n)) (/ 1 x))
(* -1 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(pow (log x) 3)
(* (sqrt (/ 1 n)) (/ 1 (exp (* -1 (/ (log x) n)))))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
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(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
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(+ (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)))
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(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x)))))
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x))
(* (sqrt (/ 1 n)) (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
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(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
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(/ (- (* 1/3 (/ 1 x)) 1/2) n)
(* 1/2 (/ (pow x 2) (pow n 2)))
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(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
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(/ -1 n)
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(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
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(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)) (* 1/2 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)))) n)) (+ (* -1/2 (/ (* (pow (log x) 3) (pow (sqrt -1) 2)) (* n x))) (* 1/6 (/ (* (pow (log x) 3) (pow (sqrt -1) 2)) (* n x))))) (+ (* -1 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)) (* 1/2 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)))) n)) (/ (* (log x) (pow (sqrt -1) 2)) x)) n)) (/ (pow (sqrt -1) 2) x)) n))
(* (sqrt (/ 1 n)) (/ (pow (sqrt -1) 2) x))
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Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	n	@	-inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (* (/ (pow n -1/2) x) (/ (pow n -1/2) (pow x (neg (pow n -1))))) (neg (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow n -1/2) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ 1/3 n) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ (pow n -1/2) (pow x (neg (pow n -1)))))
30.0ms	n	@	inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (* (/ (pow n -1/2) x) (/ (pow n -1/2) (pow x (neg (pow n -1))))) (neg (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow n -1/2) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ 1/3 n) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ (pow n -1/2) (pow x (neg (pow n -1)))))
29.0ms	x	@	-inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (* (/ (pow n -1/2) x) (/ (pow n -1/2) (pow x (neg (pow n -1))))) (neg (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow n -1/2) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ 1/3 n) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ (pow n -1/2) (pow x (neg (pow n -1)))))
28.0ms	n	@	0	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (* (/ (pow n -1/2) x) (/ (pow n -1/2) (pow x (neg (pow n -1))))) (neg (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow n -1/2) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ 1/3 n) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ (pow n -1/2) (pow x (neg (pow n -1)))))
25.0ms	x	@	inf	((pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (- (/ (/ 1/3 n) x) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (* (/ (pow n -1/2) x) (/ (pow n -1/2) (pow x (neg (pow n -1))))) (neg (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow n -1/2) x) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ 1/3 n) (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ (pow n -1/2) (pow x (neg (pow n -1)))))

simplify195.0ms (0.8%)

Memory

-12.7MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1201	10257
1	4017	9390
0	8393	8891

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 178

Calls

Call 1

Inputs
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
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(- 1 (exp (/ (log x) n)))
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(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
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(* -1 (/ n (pow (log x) 3)))
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(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* 3/2 (/ (* n x) (pow (log x) 6))) (/ n (pow (log x) 6)))))
(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* x (- (* -7/4 (/ (* n x) (pow (log x) 6))) (* -3/2 (/ n (pow (log x) 6))))) (/ n (pow (log x) 6)))))
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(* -1 (log x))
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(/ 1 x)
(/ 1/3 (* n (pow x 2)))
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(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ 1/3 (* n x))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) x)
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))))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(* (sqrt (/ 1 n)) (/ 1 x))
(* -1 (pow (log x) 3))
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(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(pow (log x) 3)
(* (sqrt (/ 1 n)) (/ 1 (exp (* -1 (/ (log x) n)))))
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(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)
(/ 1 (* n x))
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(/ (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)
(/ (* n x) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))
(* x (+ (* -1 (/ (* n (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2))))) (* x (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2)))) (/ n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))
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(exp (* -1 (/ (log (/ 1 x)) n)))
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(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 n)) (* (log x) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 n)) (* (sqrt -1) (+ (* -1 (* (pow (log x) 2) (sqrt -1))) (* 1/2 (* (pow (log x) 2) (sqrt -1))))))) (* (sqrt (/ 1 (pow n 3))) (* (sqrt -1) (+ (* -1 (* (log x) (+ (* -1 (* (pow (log x) 2) (sqrt -1))) (* 1/2 (* (pow (log x) 2) (sqrt -1)))))) (+ (* -1/2 (* (pow (log x) 3) (sqrt -1))) (* 1/6 (* (pow (log x) 3) (sqrt -1)))))))) n))) n)) (* (sqrt (/ 1 n)) (pow (sqrt -1) 2)))

Outputs
(* -1 (/ (pow (log x) 3) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(fma.f64 (fma.f64 (/.f64 x n) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) (/.f64 x n) (/.f64 #s(literal -3/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(* -1 (/ (log x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1 binary64)) n) (log.f64 x))) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
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(- 1 (exp (/ (log x) n)))
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(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 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)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(* -1 (/ n (pow (log x) 3)))
(/.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(+ (* -1 (/ n (pow (log x) 3))) (* -1 (/ (* n (pow x 3)) (pow (log x) 6))))
(neg.f64 (fma.f64 n (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 n (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* 3/2 (/ (* n x) (pow (log x) 6))) (/ n (pow (log x) 6)))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 x n)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 n (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(+ (* -1 (/ n (pow (log x) 3))) (* (pow x 3) (- (* x (- (* -7/4 (/ (* n x) (pow (log x) 6))) (* -3/2 (/ n (pow (log x) 6))))) (/ n (pow (log x) 6)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -7/4 binary64) (.f64 n (/.f64 x (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (.f64 (/.f64 n (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 3/2 binary64))) x (/.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (log.f64 x) n))
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(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1/3 (* n (pow x 2)))
(/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ 1/3 (* n x))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) x)
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) x)
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(* (sqrt (/ 1 n)) (/ 1 x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (pow (log x) 3))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(- (pow x 3) (pow (log x) 3))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) x #s(literal -3/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* (sqrt (/ 1 n)) (/ 1 (exp (* -1 (/ (log x) n)))))
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 x n)) (fma.f64 (/.f64 (log.f64 x) (.f64 x x)) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)
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(/ 1 (* n x))
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(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (log.f64 x) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (log.f64 x) n) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x))) x)
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(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) n))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 n)) (log1p.f64 x)) n))
(* -1 (/ (- (* 1/2 x) 1) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n))
(* -1 (/ (pow (sqrt -1) 2) (* n x)))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(* -1 (/ (+ (/ (* (log x) (pow (sqrt -1) 2)) (* n x)) (/ (pow (sqrt -1) 2) x)) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (log.f64 x) n) x)) n)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) (* n x))) (* 1/2 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) (* n x)))) (/ (* (log x) (pow (sqrt -1) 2)) x)) n)) (/ (pow (sqrt -1) 2) x)) n))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x n)) #s(literal -1/2 binary64) (/.f64 (log.f64 x) x)) n)) (neg.f64 n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)) (* 1/2 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)))) n)) (+ (* -1/2 (/ (* (pow (log x) 3) (pow (sqrt -1) 2)) (* n x))) (* 1/6 (/ (* (pow (log x) 3) (pow (sqrt -1) 2)) (* n x))))) (+ (* -1 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)) (* 1/2 (/ (* (pow (log x) 2) (pow (sqrt -1) 2)) x)))) n)) (/ (* (log x) (pow (sqrt -1) 2)) x)) n)) (/ (pow (sqrt -1) 2) x)) n))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal -1/2 binary64)) n) (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)) x) #s(literal -1/3 binary64) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))) (neg.f64 n)) (/.f64 (log.f64 x) x)) n)) (neg.f64 n))
(* (sqrt (/ 1 n)) (/ (pow (sqrt -1) 2) x))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n))) x)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) (* n x)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 n)) x)
(* (sqrt (/ 1 n)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))
(+ (* (sqrt (/ 1 n)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow n 3))) (* (log x) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n))))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 n)) (* (log x) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow n 3))) (* (sqrt -1) (+ (* -1 (* (pow (log x) 2) (sqrt -1))) (* 1/2 (* (pow (log x) 2) (sqrt -1))))))) n)) (* (sqrt (/ 1 n)) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) n))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 n)) (* (log x) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 n)) (* (sqrt -1) (+ (* -1 (* (pow (log x) 2) (sqrt -1))) (* 1/2 (* (pow (log x) 2) (sqrt -1))))))) (* (sqrt (/ 1 (pow n 3))) (* (sqrt -1) (+ (* -1 (* (log x) (+ (* -1 (* (pow (log x) 2) (sqrt -1))) (* 1/2 (* (pow (log x) 2) (sqrt -1)))))) (+ (* -1/2 (* (pow (log x) 3) (sqrt -1))) (* 1/6 (* (pow (log x) 3) (sqrt -1)))))))) n))) n)) (* (sqrt (/ 1 n)) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) n))))) (neg.f64 n))) n))

rewrite166.0ms (0.7%)

Memory

34.5MiB live, 187.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	397
0	102	377
1	441	333
2	3736	333
0	8387	333

Stop Event

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

Counts

25 → 572

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))
(*.f64 (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(pow.f64 (/.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1 binary64))
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 n (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(exp.f64 (fma.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -2 binary64)))) (.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal -3 binary64)))) (.f64 x (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -2 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x n) n))) (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 x (*.f64 x n)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n) x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n)) x))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n) (neg.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (pow.f64 x #s(literal -1 binary64)) x) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) x) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) x) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (.f64 x n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 n #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 n #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1/4 binary64)) (/.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(.f64 (pow.f64 n #s(literal -1/4 binary64)) (.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 (*.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 n #s(literal -1/4 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(neg.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(exp.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 (log.f64 n) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 n) #s(literal -1/2 binary64) (/.f64 (log.f64 x) n)))
(exp.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (log.f64 n) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (-.f64 (neg.f64 (/.f64 (log.f64 x) n)) (.f64 (log.f64 n) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 n) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (log.f64 x) n))))

eval111.0ms (0.5%)

Memory: -21.2MiB live, 208.6MiB allocated
Compiler: Compiled 39 001 to 4 158 computations (89.3% saved)

prune113.0ms (0.5%)

Memory

5.8MiB live, 95.8MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	727	20	747
Fresh	3	21	24
Picked	4	1	5
Done	0	2	2
Total	734	44	778

Accuracy

100.0%

Counts

778 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.4%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.3%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.3%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	54.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	54.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
✓	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	16.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))))))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	50.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
	57.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
✓	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))))))
▶	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	18.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) #s(approx (/ (pow n -1/2) (pow x (neg (pow n -1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))))
▶	57.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	24.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 x n)) (fma.f64 (/.f64 (log.f64 x) (.f64 x x)) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))))))) x)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
▶	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n)) x)))
	35.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (.f64 x (.f64 n #s(literal 3 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x (*.f64 n #s(literal 3 binary64))) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	35.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(approx (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))) x)))
	40.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
	4.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n (.f64 (*.f64 x x) #s(literal 1/2 binary64))) n) n)))
	7.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 (.f64 x (/.f64 x n)) #s(literal 1/2 binary64)) n)))
	6.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
▶	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))

Compiler

Compiled 3 293 to 1 946 computations (40.9% saved)

simplify133.0ms (0.6%)

Memory

11.0MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x n)
cost-diff	0	#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
cost-diff	0	(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
cost-diff	0	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.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	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
cost-diff	5632	(.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)
cost-diff	128	(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	192	(/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff	384	(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n)) x)
cost-diff	896	(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n) n x)
cost-diff	-5760	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
cost-diff	0	#s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff	0	(pow.f64 n #s(literal -1 binary64))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	12928	(/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	510
0	108	510
1	172	510
2	278	477
3	486	457
4	1019	457
5	2965	457
6	6101	457
0	8177	456

Stop Event

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

Calls

Call 1

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

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

localize383.0ms (1.7%)

Memory

23.1MiB live, 369.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0	(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
accuracy	24.403456339833927	#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
accuracy	26.772704988359145	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0	(.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)
accuracy	0.00390625	(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)
accuracy	0.16643488403808443	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))
accuracy	28.933911643312047	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
accuracy	5.492512016404423	(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) n) n x)
accuracy	7.331388426350576	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n))
accuracy	18.198599235091283	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n)) x)))
accuracy	29.004028230080856	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.1875	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy	18.198599235091283	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy	29.00743912131992	#s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy	0.4597383601210532	(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.6437265137479348	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	18.198599235091283	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
accuracy	22.944633911536663	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

177.0ms	99×	2	valid
118.0ms	111×	1	valid
36.0ms	35×	0	exit
5.0ms	11×	0	valid

Compiler

Compiled 953 to 126 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-pow: 103.0ms (35.3% of total)

ival-div: 63.0ms (21.6% of total)

adjust: 36.0ms (12.3% of total)

ival-mult: 24.0ms (8.2% of total)

ival-log: 13.0ms (4.5% of total)

ival-sub: 12.0ms (4.1% of total)

ival-log1p: 10.0ms (3.4% of total)

ival-add: 10.0ms (3.4% of total)

ival-exp: 9.0ms (3.1% of total)

const: 6.0ms (2.1% of total)

ival-pow2: 5.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series153.0ms (0.7%)

Memory

-26.7MiB live, 252.3MiB allocated

Counts

27 → 165

Calls

Call 1

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

Outputs
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(- 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)))
(/ 1 (* n x))
(/ 1/3 x)
(/ (+ 1/3 (* -1/2 x)) x)
(/ (+ 1/3 (* x (- x 1/2))) x)
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
1/3
(+ 1/3 (* -1/2 x))
(* n (* x (exp (* -1 (/ (log x) n)))))
(exp (* -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))))
(/ 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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(pow (log x) 3)
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 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))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(* x (exp (* -1 (/ (log x) n))))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))) x)
(/ (- (+ (* -4/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -2/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* 2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))))))) x)
(/ (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)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
-1/2
(- (* 1/3 (/ 1 x)) 1/2)
(* -1/2 x)
(* x (- (* 1/3 (/ 1 x)) 1/2))
(* n (* x (exp (/ (log (/ 1 x)) n))))
(exp (/ (log (/ 1 x)) 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)))))
(* -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)))))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)
(* -1 (pow (log (/ 1 x)) 3))
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(* -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))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1)))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (* x (- 1/2 (* 1/3 (/ 1 x)))))
(* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(exp (* -1 (/ (+ (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)) (* 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)))
(/ (+ (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)))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (+ x (* 1/3 (/ 1 x))) 1/2)
(/ (- (+ x (* 1/3 (/ 1 x))) 1/2) (* n (pow x 2)))
(/ -1 n)
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ x (* 1/3 (/ 1 x))) 1/2) (* n x))
(/ (- (+ (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)
(* n x)
(* n (+ x (* -1 (/ (* x (log x)) n))))
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))))))
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (+ (* -1/6 (/ (* x (pow (log x) 3)) (pow n 3))) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2)))))))
(+ 1 (* -1 (/ (log x) n)))
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
(+ 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 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(+ x (* -1 (/ (* x (log x)) n)))
(+ x (+ (* -1 (/ (* x (log x)) n)) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2)))))
(+ x (+ (* -1 (/ (* x (log x)) n)) (+ (* -1/6 (/ (* x (pow (log x) 3)) (pow n 3))) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))))))
(* -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 (* n (+ (* -1 x) (/ (* x (log x)) n))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* 1/2 (/ (* x (pow (log x) 2)) n))) n)))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* -1 (/ (+ (* -1/2 (* x (pow (log x) 2))) (* 1/6 (/ (* x (pow (log x) 3)) n))) n))) n)))))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) 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 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ x (* -1 (/ (+ (* -1/2 (/ (* x (pow (log x) 2)) n)) (* x (log x))) n)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (* 1/2 (* x (pow (log x) 2)))) n)) (* x (log x))) n)))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	n	@	-inf	((/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (* (/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/ (- 1/3 (* 1/2 x)) x) (- 1/3 (* 1/2 x)) (* (* (pow x (/ -1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ -1 n)) (/ -1 n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ x n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/ 1 (* (* (pow x (/ -1 n)) x) n)) (* (pow x (/ -1 n)) x))
26.0ms	n	@	inf	((/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (* (/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/ (- 1/3 (* 1/2 x)) x) (- 1/3 (* 1/2 x)) (* (* (pow x (/ -1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ -1 n)) (/ -1 n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ x n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/ 1 (* (* (pow x (/ -1 n)) x) n)) (* (pow x (/ -1 n)) x))
26.0ms	n	@	0	((/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (* (/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/ (- 1/3 (* 1/2 x)) x) (- 1/3 (* 1/2 x)) (* (* (pow x (/ -1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ -1 n)) (/ -1 n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ x n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/ 1 (* (* (pow x (/ -1 n)) x) n)) (* (pow x (/ -1 n)) x))
24.0ms	x	@	-inf	((/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (* (/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/ (- 1/3 (* 1/2 x)) x) (- 1/3 (* 1/2 x)) (* (* (pow x (/ -1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ -1 n)) (/ -1 n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ x n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/ 1 (* (* (pow x (/ -1 n)) x) n)) (* (pow x (/ -1 n)) x))
17.0ms	x	@	0	((/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (* (/ (pow n -1) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1)) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/ (- 1/3 (* 1/2 x)) x) (- 1/3 (* 1/2 x)) (* (* (pow x (/ -1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ -1 n)) (/ -1 n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ x n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log x) 3) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/ 1 (* (* (pow x (/ -1 n)) x) n)) (* (pow x (/ -1 n)) x))

simplify206.0ms (0.9%)

Memory

42.6MiB live, 362.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	998	8605
1	3290	7270
0	8341	6939

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 164

Calls

Call 1

Inputs
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(- 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)))
(/ 1 (* n x))
(/ 1/3 x)
(/ (+ 1/3 (* -1/2 x)) x)
(/ (+ 1/3 (* x (- x 1/2))) x)
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
1/3
(+ 1/3 (* -1/2 x))
(* n (* x (exp (* -1 (/ (log x) n)))))
(exp (* -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))))
(/ 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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(pow (log x) 3)
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 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))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ (- (+ (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)
(* n x)
(* n (+ x (* -1 (/ (* x (log x)) n))))
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))))))
(* n (+ x (+ (* -1 (/ (* x (log x)) n)) (+ (* -1/6 (/ (* x (pow (log x) 3)) (pow n 3))) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2)))))))
(+ 1 (* -1 (/ (log x) n)))
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
(+ 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 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(+ x (* -1 (/ (* x (log x)) n)))
(+ x (+ (* -1 (/ (* x (log x)) n)) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2)))))
(+ x (+ (* -1 (/ (* x (log x)) n)) (+ (* -1/6 (/ (* x (pow (log x) 3)) (pow n 3))) (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))))))
(* -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 (* n (+ (* -1 x) (/ (* x (log x)) n))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* 1/2 (/ (* x (pow (log x) 2)) n))) n)))))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* -1 (/ (+ (* -1/2 (* x (pow (log x) 2))) (* 1/6 (/ (* x (pow (log x) 3)) n))) n))) n)))))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) 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 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ x (* -1 (/ (+ (* -1/2 (/ (* x (pow (log x) 2)) n)) (* x (log x))) n)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (* 1/2 (* x (pow (log x) 2)))) n)) (* x (log x))) n)))

Outputs
(* -1 (/ (pow (log x) 3) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(fma.f64 (fma.f64 (/.f64 x n) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) (/.f64 x n) (/.f64 #s(literal -3/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1 binary64)) n) (log.f64 x))) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
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(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 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)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -1/2 x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- x 1/2))) x)
(/.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x)
(/ 1/3 (* n (pow x 3)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64))
(* n (* x (exp (* -1 (/ (log x) n)))))
(.f64 (.f64 x n) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n))))
(exp (* -1 (/ (log x) n)))
(exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(/ x n)
(/.f64 x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x)
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (pow (log x) 3))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(- (pow x 3) (pow (log x) 3))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) x #s(literal -3/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n)))
(/ 1/3 (* n (pow x 2)))
(/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x n) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))))
(* x (exp (* -1 (/ (log x) n))))
(*.f64 (exp.f64 (/.f64 (log.f64 x) (neg.f64 n))) x)
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 x n)) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) n))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (log.f64 x) (neg.f64 n)) (-.f64 (fma.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) n))))))))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n)))) x)
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(/.f64 (+.f64 (-.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)))) (neg.f64 n)) (log1p.f64 x)) (log.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 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.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))))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (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 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.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) #s(literal -1 binary64) (*.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))))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(* -1 (* n (+ (* -1 x) (/ (* x (log x)) n))))
(*.f64 (neg.f64 n) (fma.f64 x (/.f64 (log.f64 x) n) (neg.f64 x)))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* 1/2 (/ (* x (pow (log x) 2)) n))) n)))))
(.f64 (neg.f64 n) (-.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (log.f64 x))) (neg.f64 n)) x))
(* -1 (* n (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (log x))) (* -1 (/ (+ (* -1/2 (* x (pow (log x) 2))) (* 1/6 (/ (* x (pow (log x) 3)) n))) n))) n)))))
(.f64 (neg.f64 n) (-.f64 (/.f64 (neg.f64 (fma.f64 (log.f64 x) x (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n))) (neg.f64 n)) x))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))
(+ 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log1p.f64 x)) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))) (neg.f64 n))) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(+ x (* -1 (/ (+ (* -1/2 (/ (* x (pow (log x) 2)) n)) (* x (log x))) n)))
(-.f64 x (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) #s(literal -1/2 binary64) (.f64 (log.f64 x) x)) n))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (* 1/2 (* x (pow (log x) 2)))) n)) (* x (log x))) n)))
(-.f64 x (/.f64 (fma.f64 (log.f64 x) x (/.f64 (fma.f64 (.f64 x (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal -1/6 binary64) (.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 n))) n))

rewrite205.0ms (0.9%)

Memory

-11.9MiB live, 229.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	414
0	108	402
1	409	312
2	2818	305
0	8602	293

Stop Event

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

Counts

27 → 786

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 n (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))
(*.f64 (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(pow.f64 (/.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1 binary64))
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (.f64 n (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (*.f64 n (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (neg.f64 (.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))))))
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(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) x) (neg.f64 n)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 n (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64)) (*.f64 x n)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) n) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (pow.f64 n #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) n) #s(literal -1 binary64)))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) (.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (.f64 (neg.f64 n) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n)
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 (neg.f64 n) x))
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))
(/.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 n) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (.f64 (neg.f64 n) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 n) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
(exp.f64 (-.f64 (.f64 (log.f64 n) #s(literal -1 binary64)) (.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))) (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))
(.f64 (.f64 x (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64)) (pow.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)
(*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 (pow.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 x (+.f64 (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))) #s(literal 1 binary64)))
(pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))))

eval154.0ms (0.7%)

Memory: 7.5MiB live, 282.8MiB allocated
Compiler: Compiled 45 206 to 5 025 computations (88.9% saved)

prune95.0ms (0.4%)

Memory

-10.4MiB live, 146.1MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	912	12	924
Fresh	8	28	36
Picked	2	3	5
Done	0	3	3
Total	922	46	968

Accuracy

100.0%

Counts

968 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.2%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.4%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.3%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.3%	(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	54.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
✓	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	16.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))))))
	56.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	50.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
	57.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
✓	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	54.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))) n)))
✓	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (pow x (/ -1 n)) x) n) (*.f64 x n))))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	33.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	24.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	45.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) (.f64 (.f64 x x) n))))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) n) n x) (*.f64 x n)) x)))
	40.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) x)))
	35.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (.f64 x (.f64 n #s(literal 3 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x (*.f64 n #s(literal 3 binary64))) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	35.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(approx (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)))
	43.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x)) (.f64 x (.f64 (neg.f64 n) x)))))
	46.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) x)) x)))
	40.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
	44.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) x))))
	42.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) (*.f64 x x)))))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
	4.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n (.f64 (*.f64 x x) #s(literal 1/2 binary64))) n) n)))
	7.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 (.f64 x (/.f64 x n)) #s(literal 1/2 binary64)) n)))
	6.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
✓	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))

Compiler

Compiled 4 449 to 1 540 computations (65.4% saved)

regimes120.0ms (0.5%)

Memory

-32.7MiB live, 159.5MiB allocated

Counts

71 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (pow x (/ -1 n)) x) n) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 (.f64 x (/.f64 x n)) #s(literal 1/2 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(approx (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(approx (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) (*.f64 x x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) (.f64 (.f64 x x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x)) (.f64 x (.f64 (neg.f64 n) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n (.f64 (*.f64 x x) #s(literal 1/2 binary64))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x)) x) n) n x) (.f64 x n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) n) n x) (*.f64 x n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (.f64 x (.f64 n #s(literal 3 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x (*.f64 n #s(literal 3 binary64))) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) #s(approx (/ (pow n -1/2) (pow x (neg (pow n -1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) n)))))
(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) x))))
(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (.f64 x x) (/.f64 x n)) (expm1.f64 (/.f64 (log.f64 x) n)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 x n)) (fma.f64 (/.f64 (log.f64 x) (.f64 x x)) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x)) #s(literal -1 binary64)) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))))))) x)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

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

Calls

4 calls:

53.0ms	x
21.0ms	(/.f64 #s(literal 1 binary64) n)
18.0ms	n
18.0ms	(-.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
89.9%	2	`x`
89.4%	4	`n`
86.1%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
89.0%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes56.0ms (0.2%)

Memory

34.0MiB live, 71.5MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

17.0ms	(/.f64 #s(literal 1 binary64) n)
13.0ms	n
13.0ms	x
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
81.3%	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)))`
84.3%	4	`n`
84.3%	3	`(/.f64 #s(literal 1 binary64) n)`
70.5%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes40.0ms (0.2%)

Memory

-19.0MiB live, 18.6MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

38.0ms

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

Results

Accuracy	Segments	Branch
84.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes35.0ms (0.2%)

Memory

-15.0MiB live, 30.3MiB allocated

Counts

37 → 4

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	n
10.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
84.2%	5	`n`
84.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes12.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

35 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
84.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes34.0ms (0.1%)

Memory

-19.8MiB live, 17.8MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

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

Results

Accuracy	Segments	Branch
84.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes11.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

32 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
84.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes58.0ms (0.3%)

Memory

-2.8MiB live, 34.2MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

39.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	n

Results

Accuracy	Segments	Branch
77.3%	5	`n`
77.0%	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)))`
78.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes69.0ms (0.3%)

Memory

14.8MiB live, 53.2MiB allocated

Counts

30 → 7

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	n
9.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	(-.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
62.5%	3	`x`
71.2%	8	`n`
70.6%	7	`(/.f64 #s(literal 1 binary64) n)`
52.7%	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)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes37.0ms (0.2%)

Memory

-27.3MiB live, 18.9MiB allocated

Counts

28 → 7

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

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

Results

Accuracy	Segments	Branch
69.9%	7	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes43.0ms (0.2%)

Memory

5.4MiB live, 44.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))

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

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

Calls

3 calls:

25.0ms	n
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	x

Results

Accuracy	Segments	Branch
62.5%	3	`x`
66.5%	7	`n`
66.1%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes9.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

26 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
63.9%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.1%	3	`n`
54.1%	2	`(/.f64 #s(literal 1 binary64) n)`
52.5%	3	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes8.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
54.0%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes27.0ms (0.1%)

Memory

-31.5MiB live, 7.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
52.6%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes9.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	x
2.0ms	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
40.3%	1	`x`
40.3%	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)))`
40.3%	1	`n`
40.3%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n
1.0ms	x
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
40.3%	1	`(/.f64 #s(literal 1 binary64) n)`
40.3%	1	`x`
40.3%	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)))`
40.3%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (pow x (/ -1 n)) x) n) (*.f64 x n))))

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

Calls

4 calls:

1.0ms	(/.f64 #s(literal 1 binary64) n)
1.0ms	n
1.0ms	x
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
40.3%	1	`(/.f64 #s(literal 1 binary64) n)`
40.3%	1	`x`
40.3%	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)))`
40.3%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch69.0ms (0.3%)

Memory

-1.2MiB live, 35.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.018762114230038575	6.553478639492184

Samples

14.0ms	41×	2	valid
8.0ms	42×	1	valid
4.0ms	45×	0	valid
0.0ms	5×	0	exit

Compiler

Compiled 384 to 253 computations (34.1% saved)

Precisions

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

ival-pow: 14.0ms (64.9% of total)

adjust: 3.0ms (13.9% of total)

ival-div: 2.0ms (9.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.745320864349768e-9	1144.9795564867743
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.745320864349768e-9	1144.9795564867743
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	7.1014689484411264e-15	3.745320864349768e-9
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch23.0ms (0.1%)

Memory

-42.1MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
22.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	7.1014689484411264e-15	3.745320864349768e-9
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	7.1014689484411264e-15	3.745320864349768e-9
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	3.745320864349768e-9	1144.9795564867743
0.0ms	-6.977135397120736e-82	-1.2528408609229178e-84

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1727064591914313e-12	1.0
0.0ms	-0.00015492650787285456	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	3.745320864349768e-9	1144.9795564867743
0.0ms	2.360303981703475e-208	3.1980590464462803e-203
0.0ms	-2.3094559929460087e-243	-4.004768353986065e-247
0.0ms	-7.889575976908513e-129	-7.841278192818388e-138
0.0ms	-27389.159252729827	-11548.024976391363

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch2.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	1.4773744563445838e+158	2.3897595953476883e+165
0.0ms	3.745320864349768e-9	1144.9795564867743
0.0ms	2.360303981703475e-208	3.1980590464462803e-203
0.0ms	-2.3094559929460087e-243	-4.004768353986065e-247
0.0ms	-7.889575976908513e-129	-7.841278192818388e-138
0.0ms	-27389.159252729827	-11548.024976391363

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch75.0ms (0.3%)

Memory

28.1MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.7914746773541994e+181	4.562908552303406e+183
19.0ms	2.452695432117463e-6	5.622978969710226e-6

Samples

33.0ms	86×	2	valid
18.0ms	73×	0	valid
7.0ms	33×	1	valid
3.0ms	29×	0	exit

Compiler

Compiled 919 to 601 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 39.0ms (74.3% of total)

adjust: 6.0ms (11.4% of total)

ival-div: 3.0ms (5.7% of total)

ival-add: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch89.0ms (0.4%)

Memory

-16.9MiB live, 57.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.7914746773541994e+181	4.562908552303406e+183
39.0ms	0.018762114230038575	6.553478639492184
46.0ms	1.3372121722553403e-73	3.5538604117316503e-71

Samples

30.0ms	93×	1	valid
29.0ms	74×	0	valid
16.0ms	41×	2	valid

Compiler

Compiled 1 852 to 1 191 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-pow: 45.0ms (79.6% of total)

adjust: 4.0ms (7.1% of total)

ival-div: 3.0ms (5.3% of total)

ival-add: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-27389.159252729827	-11548.024976391363

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-27389.159252729827	-11548.024976391363

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-11548.024976391363	-1.1688957389051883e-6

Compiler

Compiled 14 to 14 computations (0% saved)

simplify59.0ms (0.3%)

Memory

12.6MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	2177
1	277	2177
2	316	2177
3	333	2177
4	343	2177
5	345	2177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 #s(approx (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x))))))
(if (<=.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))) #s(literal -7378697629483821/73786976294838206464 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 4951760157141521/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (*.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7687697232696013/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 578358058743443/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) (.f64 x x))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7687697232696013/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 578358058743443/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (/ (+ ( (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) x) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) (.f64 x x))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))))))))
(if (<=.f64 x #s(literal 3246626956972881/590295810358705651712 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 x #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))))
(if (<=.f64 x #s(literal 8454495018966373/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) n) (.f64 (.f64 x n) #s(literal 1/2 binary64))) (.f64 (.f64 x n) n)) x) (/.f64 #s(literal 1 binary64) n)) x))) (if (<=.f64 x #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) n))) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (/ (+ (* (/ (/ (- 1/3 (* 1/2 x)) x) n) n) x) (* x n)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/2 binary64)) n) x)) x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (/ (- (/ (/ 1/3 n) x) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (pow (+ (* (log x) (+ (log x) (log (+ 1 x)))) (pow (log (+ 1 x)) 2)) -1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (pow x (/ -1 n)) x) n) (*.f64 x n))))

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

soundness1.8s (7.8%)

Memory

-0.3MiB live, 1 179.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	2854
1	1700	2649
2	4635	2601
0	8384	2444
0	1201	10257
1	4017	9390
0	8393	8891
0	35	207
0	60	197
1	276	191
2	2273	191
0	8909	191
0	63	397
0	102	377
1	441	333
2	3736	333
0	8387	333
0	8	26
0	13	26
1	63	26
2	407	26
3	4335	26
0	8433	22
0	240	1357
1	700	1251
2	1966	1182
3	6919	1182
0	8117	1082
0	998	8605
1	3290	7270
0	8341	6939

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

Compiler

Compiled 3 552 to 1 267 computations (64.3% saved)

preprocess172.0ms (0.7%)

Memory: -6.3MiB live, 200.6MiB allocated
Compiler: Compiled 4 380 to 494 computations (88.7% 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
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	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
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

start0.0ms (0%)

analyze224.0ms (1%)

sample14.8s (64.3%)

explain200.0ms (0.9%)

preprocess59.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize120.0ms (0.5%)

series9.0ms (0%)

simplify204.0ms (0.9%)

rewrite280.0ms (1.2%)

eval124.0ms (0.5%)

prune23.0ms (0.1%)

simplify463.0ms (2%)

localize309.0ms (1.3%)

series209.0ms (0.9%)

simplify159.0ms (0.7%)

rewrite207.0ms (0.9%)

eval166.0ms (0.7%)

prune52.0ms (0.2%)

simplify124.0ms (0.5%)

localize287.0ms (1.2%)

series193.0ms (0.8%)

simplify195.0ms (0.8%)

rewrite166.0ms (0.7%)

eval111.0ms (0.5%)

prune113.0ms (0.5%)

simplify133.0ms (0.6%)

localize383.0ms (1.7%)

series153.0ms (0.7%)

simplify206.0ms (0.9%)

rewrite205.0ms (0.9%)

eval154.0ms (0.7%)

prune95.0ms (0.4%)

regimes120.0ms (0.5%)

regimes56.0ms (0.2%)

regimes40.0ms (0.2%)

regimes35.0ms (0.2%)

regimes12.0ms (0.1%)

regimes34.0ms (0.1%)

regimes11.0ms (0%)

regimes58.0ms (0.3%)

regimes69.0ms (0.3%)

regimes37.0ms (0.2%)

regimes43.0ms (0.2%)

regimes9.0ms (0%)

regimes24.0ms (0.1%)

regimes8.0ms (0%)

regimes27.0ms (0.1%)

regimes9.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

bsearch69.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch23.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch75.0ms (0.3%)

bsearch89.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify59.0ms (0.3%)

soundness1.8s (7.8%)

preprocess172.0ms (0.7%)

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
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Iter	Nodes	Cost
0	8	34
0	13	34
1	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34