Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze215.0ms (1%)

Memory

-24.8MiB live, 272.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.5s (65.1%)

Memory

-152.5MiB live, 12 602.5MiB allocated

Samples

9.4s	4 893×	5	exit
1.8s	2 734×	2	valid
1.1s	2 898×	1	valid
425.0ms	2 336×	1	exit
275.0ms	2 624×	0	valid
266.0ms	1 546×	0	exit
29.0ms	5×	4	exit
3.0ms	5×	2	exit
0.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 11.9s

ival-pow: 9.1s (76% of total)

adjust: 1.6s (13.7% of total)

ival-div: 653.0ms (5.5% of total)

ival-add: 267.0ms (2.2% of total)

ival-sub: 266.0ms (2.2% of total)

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

exact: 13.0ms (0.1% of total)

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

Bogosity

explain240.0ms (1.1%)

Memory

-3.8MiB live, 307.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
114	1	(5.8664983615730285e+181 3.91397342845883e+141)	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
46	34	(1.6415613692333488e-256 -8.284509276321306e-108)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	115	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	80	1

Confusion

	Predicted +	Predicted -
+	139	0
-	56	61

Precision

0.7128205128205128

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	56	2	59

Precision?

0.7055837563451777

Recall?

1.0

Freqs

test

number	freq
0	61
1	195

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms	274×	1	valid
63.0ms	152×	2	valid
8.0ms	86×	0	valid

Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-pow: 83.0ms (66.5% of total)

ival-div: 15.0ms (12% of total)

adjust: 14.0ms (11.2% of total)

ival-add: 6.0ms (4.8% of total)

ival-sub: 5.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess27.0ms (0.1%)

Memory

-3.8MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	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	112	13
8	161	13
9	177	13
10	185	13
0	185	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(-.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 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

12.1MiB live, 12.1MiB 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	112	34
8	161	34
9	177	34
10	185	34
0	185	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))

localize86.0ms (0.4%)

Memory

-25.1MiB live, 93.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.013513404760301944	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	11.106303341501725	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	25.750107157681217	(-.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

40.0ms	137×	1	valid
34.0ms	76×	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: 65.0ms

ival-pow: 44.0ms (67.5% of total)

ival-div: 7.0ms (10.7% of total)

adjust: 7.0ms (10.7% of total)

ival-add: 3.0ms (4.6% of total)

ival-sub: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.3%)

Memory

30.7MiB live, 67.3MiB allocated

Counts

5 → 49

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)
(pow.f64 x (/.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 (/ (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)))))
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 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(* -1 (/ (- (* -1 (log (+ 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)))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
12.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify185.0ms (0.8%)

Memory

8.2MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1455
1	761	1349
2	2161	1275
3	7630	1269
0	8915	1165

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

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

rewrite146.0ms (0.7%)

Memory

-15.4MiB live, 140.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8424	27

Stop Event

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

Counts

5 → 321

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

eval54.0ms (0.2%)

Memory: 3.1MiB live, 77.0MiB allocated
Compiler: Compiled 11 308 to 1 474 computations (87% saved)

prune19.0ms (0.1%)

Memory

-12.3MiB live, 35.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	408	14	422
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	408	15	423

Accuracy

99.8%

Counts

423 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(/.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 (+.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)))))
✓	50.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	59.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.8%	(-.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)))
▶	25.2%	(-.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)))
	33.5%	(-.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)))
▶	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	47.1%	#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)))))
	29.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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))
	33.3%	#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))
	39.1%	#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))
▶	61.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
	55.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	53.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	54.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 975 to 566 computations (41.9% saved)

simplify127.0ms (0.6%)

Memory

36.7MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))
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	320	(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	(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))
cost-diff	0	#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)))
cost-diff	0	(-.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)))
cost-diff	320	(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))
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	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	(/.f64 (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)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
cost-diff	12608	(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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	407
0	77	407
1	120	407
2	204	407
3	524	407
4	1400	398
5	4667	398
0	8156	389

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

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

localize348.0ms (1.6%)

Memory

-15.6MiB live, 374.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.013513404760301944	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.11328125	(/.f64 (log1p.f64 x) n)
accuracy	25.750107157681217	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.28515625	(/.f64 (log.f64 x) n)
accuracy	0.45002219811596234	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	18.25473188806673	(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	27.985090040416534	#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	4.038083857843722	(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))
accuracy	4.297836681016781	(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))
accuracy	25.750107157681217	(-.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)))
accuracy	29.357415589870257	#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)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.013513404760301944	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	18.936089978745972	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	25.750107157681217	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.5420112793053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	21.820049449007033	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	21.833934768731726	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	22.55072039774065	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))

Samples

196.0ms	163×	1	valid
97.0ms	76×	2	valid
6.0ms	17×	0	valid

Compiler

Compiled 770 to 83 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-pow: 61.0ms (24.7% of total)

ival-div: 42.0ms (17% of total)

adjust: 33.0ms (13.4% of total)

ival-exp: 31.0ms (12.6% of total)

ival-sub: 18.0ms (7.3% of total)

ival-mult: 16.0ms (6.5% of total)

ival-add: 12.0ms (4.9% of total)

ival-pow2: 10.0ms (4.1% of total)

ival-log: 10.0ms (4.1% of total)

ival-log1p: 9.0ms (3.6% of total)

ival-expm1: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series154.0ms (0.7%)

Memory

12.0MiB live, 163.0MiB allocated

Counts

25 → 181

Calls

Call 1

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

Outputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(- 1 (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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(* -1 (/ (pow (log x) 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (/ (log x) n))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(pow x 2)
(/ 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))))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 2)
(/ (log x) n)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ (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)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(* -2 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x)))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))) (/ 1 (* n (pow x 2)))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (/ 11/12 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))))) (/ 1 (* n (pow x 2)))) x)
(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 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (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))))
(* (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)))))
(* -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)))
(/ 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)
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(pow (log (/ 1 x)) 2)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/ (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))
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x)))
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(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) x)) (/ 1 n))) x))) x))
(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)))
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(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n 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))))
(/ (+ (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))))
(* -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))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
(exp (/ (log (+ 1 x)) n))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (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)) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(/ (- (log (+ 1 x)) (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)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) 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 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ (- (+ 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 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 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 (/ (+ (* -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 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(* -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
46.0ms	n	@	0	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* 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)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
32.0ms	n	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* 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)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
30.0ms	n	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* 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)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
17.0ms	x	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* 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)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
14.0ms	x	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* 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)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (log (+ 1 x)) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))

simplify207.0ms (0.9%)

Memory

-1.3MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	851	4511
1	2655	4137
2	7807	4124
0	8358	3883

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 180

Calls

Call 1

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

rewrite200.0ms (0.9%)

Memory

21.8MiB live, 250.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	321
0	77	309
1	366	295
2	3064	295
0	8422	295

Stop Event

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

Counts

25 → 713

Calls

Call 1

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

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

eval464.0ms (2.1%)

Memory: -142.7MiB live, 252.3MiB allocated
Compiler: Compiled 48 721 to 4 931 computations (89.9% saved)

prune49.0ms (0.2%)

Memory

14.9MiB live, 92.2MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 172	23	1 195
Fresh	3	6	9
Picked	4	1	5
Done	1	0	1
Total	1 180	30	1 210

Accuracy

99.9%

Counts

1 210 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.8%	(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (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)))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.5%	(-.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)))
	17.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	18.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
▶	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	47.1%	#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 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
	47.1%	#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 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
	47.1%	#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 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
	33.3%	#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))
	39.1%	#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))
	28.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
▶	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
	55.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	53.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	34.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (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 -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))) (fma.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 -2 binary64)) #s(literal 1/4 binary64) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))))))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
▶	54.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))
	31.4%	#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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 x)) (neg.f64 n))))
▶	5.5%	#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)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))

Compiler

Compiled 2 411 to 1 383 computations (42.6% saved)

simplify185.0ms (0.8%)

Memory

-31.4MiB live, 177.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) 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 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
cost-diff	6400	(exp.f64 #s(literal 1 binary64))
cost-diff	0	(expm1.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 x n)
cost-diff	0	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
cost-diff	0	(.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
cost-diff	0	#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)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
cost-diff	0	#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)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
cost-diff	640	(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
cost-diff	26240	(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.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))))))
cost-diff	26240	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	620
0	103	612
1	168	576
2	326	576
3	905	566
4	2608	531
5	7634	531
0	8258	509

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

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

localize450.0ms (2%)

Memory

14.9MiB live, 550.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.010966230164287516	(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n))
accuracy	0.28515625	(/.f64 (log.f64 x) n)
accuracy	18.936089978745972	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	25.750107157681217	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
accuracy	0.0078125	(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
accuracy	0.028312216849389005	(expm1.f64 (/.f64 (log.f64 x) n))
accuracy	0.28515625	(/.f64 (log.f64 x) n)
accuracy	29.19186132647169	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
accuracy	6.209934740554665	(*.f64 x (/.f64 (/.f64 x n) n))
accuracy	25.750107157681217	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	29.357415589870257	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64))))
accuracy	42.94823032386218	#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))
accuracy	5.273787056525732	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
accuracy	11.611651452777151	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
accuracy	27.985090040416534	#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)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
accuracy	32.72877664405174	#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)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
accuracy	0.5420112793053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	0.5585454911117791	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))
accuracy	21.820049449007033	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	22.55072039774065	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))

Samples

215.0ms	163×	1	valid
162.0ms	76×	2	valid
10.0ms	17×	0	valid

Compiler

Compiled 1 118 to 125 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-pow: 62.0ms (23.7% of total)

ival-mult: 49.0ms (18.8% of total)

adjust: 36.0ms (13.8% of total)

ival-div: 35.0ms (13.4% of total)

ival-add: 18.0ms (6.9% of total)

ival-sub: 14.0ms (5.4% of total)

ival-exp: 13.0ms (5% of total)

ival-log: 12.0ms (4.6% of total)

ival-pow2: 10.0ms (3.8% of total)

ival-log1p: 8.0ms (3.1% of total)

ival-expm1: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series174.0ms (0.8%)

Memory

15.5MiB live, 184.2MiB allocated

Counts

25 → 180

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	((/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* x (/ (/ x n) n)) 1/2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (exp 1) (- (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (* x (/ (/ x n) n)) (/ (log x) n))
42.0ms	x	@	0	((/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* x (/ (/ x n) n)) 1/2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (exp 1) (- (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (* x (/ (/ x n) n)) (/ (log x) n))
26.0ms	x	@	inf	((/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* x (/ (/ x n) n)) 1/2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (exp 1) (- (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (* x (/ (/ x n) n)) (/ (log x) n))
20.0ms	n	@	-inf	((/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* x (/ (/ x n) n)) 1/2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (exp 1) (- (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (* x (/ (/ x n) n)) (/ (log x) n))
15.0ms	n	@	0	((/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* x (/ (/ x n) n)) 1/2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (exp 1) (- (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow (exp 1) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (* x (/ (/ x n) n)) (/ (log x) n))

simplify211.0ms (1%)

Memory

-10.2MiB live, 181.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	10507
1	3568	9858
0	8472	9196

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

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

rewrite226.0ms (1%)

Memory

17.3MiB live, 219.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	512
0	103	504
1	446	432
2	3812	432
0	8160	415

Stop Event

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

Counts

25 → 542

Calls

Call 1

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

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

eval146.0ms (0.7%)

Memory: -4.2MiB live, 224.0MiB allocated
Compiler: Compiled 46 032 to 3 985 computations (91.3% saved)

prune73.0ms (0.3%)

Memory

-0.3MiB live, 127.3MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	805	26	831
Fresh	9	15	24
Picked	4	1	5
Done	0	1	1
Total	818	43	861

Accuracy

100.0%

Counts

861 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	12.8%	(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (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)))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	39.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))
	33.3%	#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))
	39.1%	#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))
	28.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	32.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
	55.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	21.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 n x) (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) (.f64 (/.f64 n x) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)))))
	53.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 (log.f64 x) n))) n))
	41.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) x)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) n) (neg.f64 (log.f64 x)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) n))) n))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	54.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
	31.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
	31.4%	#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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 x)) (neg.f64 n))))
	5.5%	#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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 n x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
	6.0%	#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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) n) n)))
	4.0%	#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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) n)))
	5.8%	#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 #s(literal 1 binary64) (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)))) n)))
	7.4%	#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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) x) (*.f64 n n))))
	5.9%	#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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) n)))
	5.6%	#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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x))) n)))
	7.4%	#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 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) x)))))
	5.8%	#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 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x))) n))))
	5.8%	#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 x n) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) n))))
	7.6%	#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 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))
	11.3%	#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 x (/.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)))))
▶	4.6%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
▶	10.6%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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))))

Compiler

Compiled 4 136 to 2 391 computations (42.2% saved)

simplify149.0ms (0.7%)

Memory

9.0MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 (E.f64) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (log.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
cost-diff	704	(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))
cost-diff	0	#s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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))
cost-diff	0	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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)))
cost-diff	0	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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))))
cost-diff	704	(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))
cost-diff	0	(/.f64 x n)
cost-diff	0	#s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))
cost-diff	0	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n)))
cost-diff	0	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
cost-diff	0	(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n))
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
cost-diff	26240	(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	730
0	105	718
1	175	718
2	359	718
3	1003	682
4	3315	665
5	7012	665
0	8093	636

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

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

localize433.0ms (1.9%)

Memory

17.4MiB live, 495.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.075748920203098	(pow.f64 (E.f64) (log.f64 x))
accuracy	10.413859100572825	(E.f64)
accuracy	13.123722125957338	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	25.750107157681217	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))
accuracy	2.645493559637531	(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))
accuracy	17.670493740327114	#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
accuracy	23.47803970422113	#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)))
accuracy	25.750107157681217	(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
accuracy	1.5046355288717876	(.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)
accuracy	2.645493559637531	(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))
accuracy	22.106309069433333	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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)))
accuracy	27.985090040416534	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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))))
accuracy	0.0	(/.f64 x n)
accuracy	22.106309069433333	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n)))
accuracy	27.985090040416534	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
accuracy	29.803603497759344	#s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))
accuracy	0.4420700195368841	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	0.44521536344030543	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)
accuracy	17.821016376394898	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
accuracy	21.820049449007033	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

177.0ms	86×	2	valid
143.0ms	114×	1	valid
21.0ms	43×	0	exit
13.0ms	13×	0	valid

Compiler

Compiled 1 219 to 132 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-pow: 83.0ms (26.9% of total)

ival-div: 60.0ms (19.5% of total)

adjust: 37.0ms (12% of total)

ival-mult: 30.0ms (9.7% of total)

ival-pow2: 26.0ms (8.4% of total)

ival-add: 22.0ms (7.1% of total)

ival-log: 18.0ms (5.8% of total)

ival-sub: 13.0ms (4.2% of total)

ival-e: 8.0ms (2.6% of total)

ival-log1p: 7.0ms (2.3% of total)

ival-expm1: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series312.0ms (1.4%)

Memory

-1.6MiB live, 234.1MiB allocated

Counts

25 → 192

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
114.0ms	x	@	0	((/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n)))) (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n))) (pow (pow (E) (log x)) (/ -1 n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) (pow x (/ 1 n)) (E) (pow (E) (log x)))
79.0ms	x	@	inf	((/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n)))) (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n))) (pow (pow (E) (log x)) (/ -1 n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) (pow x (/ 1 n)) (E) (pow (E) (log x)))
74.0ms	x	@	-inf	((/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n)))) (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n))) (pow (pow (E) (log x)) (/ -1 n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) (pow x (/ 1 n)) (E) (pow (E) (log x)))
20.0ms	n	@	0	((/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n)))) (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n))) (pow (pow (E) (log x)) (/ -1 n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) (pow x (/ 1 n)) (E) (pow (E) (log x)))
10.0ms	n	@	-inf	((/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n)))) (pow (+ x 1) (/ 1 n)) (/ 1 (pow (pow (E) (log x)) (/ -1 n))) (pow (pow (E) (log x)) (/ -1 n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) (pow x (/ 1 n)) (E) (pow (E) (log x)))

simplify367.0ms (1.6%)

Memory

23.1MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1168	9137
1	3739	8445
0	9189	7840

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

rewrite442.0ms (2%)

Memory

-19.6MiB live, 305.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	607
0	105	593
1	491	541
2	4282	540
0	8357	520

Stop Event

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

Counts

25 → 538

Calls

Call 1

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

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

eval148.0ms (0.7%)

Memory: -12.5MiB live, 275.2MiB allocated
Compiler: Compiled 39 038 to 3 716 computations (90.5% saved)

prune77.0ms (0.3%)

Memory

-5.0MiB live, 157.6MiB allocated

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	743	15	758
Fresh	4	32	36
Picked	4	1	5
Done	0	2	2
Total	751	50	801

Accuracy

100.0%

Counts

801 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (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)))
	26.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	7.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 n n)))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	8.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (.f64 (/.f64 (.f64 x x) n) #s(literal -1/2 binary64))) n)))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	39.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
✓	39.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.3%	#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))
	39.1%	#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))
	28.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	55.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	32.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) n))) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	21.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 n x) (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) (.f64 (/.f64 n x) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)))))
	53.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 (log.f64 x) n))) n))
	41.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) x)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) n) (neg.f64 (log.f64 x)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) n))) n))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	33.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
✓	54.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
	54.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (/.f64 (+.f64 (log.f64 x) n) (.f64 (.f64 n n) x))))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) n) (.f64 n n)))))
	31.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n)))
	31.4%	#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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 x)) (neg.f64 n))))
	6.0%	#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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) n) n)))
	4.0%	#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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) n)))
	5.8%	#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 #s(literal 1 binary64) (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)))) n)))
	7.4%	#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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) x) (*.f64 n n))))
	5.9%	#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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) n)))
	5.6%	#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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x))) n)))
	7.4%	#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 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) x)))))
	5.8%	#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 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x))) n))))
	6.0%	#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 x) n) (/.f64 #s(literal 1/2 binary64) n))))
	7.6%	#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 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))
	11.3%	#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 x (/.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)))))
	10.5%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x (/.f64 x n)))))
✓	4.6%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
	4.6%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 #s(literal 1 binary64) (/.f64 n x)))))
	8.1%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n 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))))
	4.6%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n)) x))))
	13.7%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n x))) (neg.f64 x))) x))))
	18.3%	#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x))))

Compiler

Compiled 6 573 to 2 057 computations (68.7% saved)

regimes104.0ms (0.5%)

Memory

4.3MiB live, 202.2MiB allocated

Counts

79 → 2

Calls

Call 1

Inputs
#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 #s(literal 1 binary64) (/.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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) 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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) 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 x) n) (/.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) n) 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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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 (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.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)))))
#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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) x) (*.f64 n 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n 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(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 n) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x (/.f64 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 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) 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 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x 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 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) 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 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (.f64 n x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.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(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 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n x))) (neg.f64 x))) 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 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.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)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (/.f64 (+.f64 (log.f64 x) n) (.f64 (.f64 n 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 x)) (neg.f64 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)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #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 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (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 (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 n n)))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (.f64 (/.f64 (.f64 x x) n) #s(literal -1/2 binary64))) n)))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.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)))
(-.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))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) 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 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (E.f64) (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) n) (* (+ (log x) (log (+ 1 x))) n)) (.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) n) (.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))) (-.f64 (/.f64 x n) (expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))))))
#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))) (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 (neg.f64 (log.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 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
#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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
(-.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)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (log.f64 x)) (/.f64 #s(literal -1 binary64) 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 (-.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 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) x)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) n) (neg.f64 (log.f64 x)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (* (+ (log x) (log (+ 1 x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* (+ (log x) (log (+ 1 x))) n)) (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 (log.f64 x) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* 1/2 (+ (log x) (log (+ 1 x)))) n)) (.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) n))) n) (.f64 (+.f64 (log.f64 x) (log1p.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 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 n x) (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) (.f64 (/.f64 n x) (+.f64 (pow.f64 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))) (+.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(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (.f64 (expm1.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (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 -3 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))) (fma.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 -2 binary64)) #s(literal 1/4 binary64) (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))))))

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:

25.0ms	(/.f64 #s(literal 1 binary64) n)
25.0ms	x
25.0ms	n
21.0ms	(-.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
89.1%	2	`x`
86.5%	3	`n`
86.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
86.9%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes101.0ms (0.5%)

Memory

0.3MiB live, 82.6MiB allocated

Counts

43 → 3

Calls

Call 1

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

Calls

4 calls:

50.0ms	(/.f64 #s(literal 1 binary64) n)
23.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.0ms	x
12.0ms	n

Results

Accuracy	Segments	Branch
81.4%	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)))`
82.2%	4	`n`
82.2%	3	`(/.f64 #s(literal 1 binary64) n)`
72.9%	5	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes58.0ms (0.3%)

Memory

10.1MiB live, 46.3MiB allocated

Counts

41 → 5

Calls

Call 1

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

Calls

3 calls:

33.0ms	n
12.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
74.4%	5	`n`
67.9%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
75.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes14.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

38 → 6

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
76.2%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes52.0ms (0.2%)

Memory

-17.8MiB live, 18.8MiB allocated

Counts

34 → 6

Calls

Call 1

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

Calls

1 calls:

49.0ms

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

Results

Accuracy	Segments	Branch
76.2%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes62.0ms (0.3%)

Memory

-16.4MiB live, 73.8MiB allocated

Counts

30 → 4

Calls

Call 1

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

Calls

4 calls:

20.0ms	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
54.8%	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)))`
55.0%	5	`x`
60.3%	5	`n`
60.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

28 → 4

Calls

Call 1

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
60.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes65.0ms (0.3%)

Memory

3.4MiB live, 41.9MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

43.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	n
7.0ms	x
6.0ms	(-.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
39.5%	2	`x`
40.5%	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)))`
40.6%	3	`n`
40.6%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes33.0ms (0.2%)

Memory

-13.8MiB live, 24.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	n
7.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	x
6.0ms	(-.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
21.4%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
21.5%	3	`n`
21.5%	2	`(/.f64 #s(literal 1 binary64) n)`
21.7%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes26.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n
5.0ms	(-.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
18.3%	1	`n`
18.3%	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)))`
18.3%	1	`(/.f64 #s(literal 1 binary64) n)`
18.3%	1	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

Outputs

#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n
2.0ms	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
4.6%	1	`x`
4.6%	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)))`
4.6%	1	`(/.f64 #s(literal 1 binary64) n)`
4.6%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch51.0ms (0.2%)

Memory

-26.7MiB live, 13.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.000237500137377083	0.8265611670077474

Samples

8.0ms	24×	2	valid
6.0ms	35×	1	valid
6.0ms	69×	0	valid

Compiler

Compiled 384 to 253 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 11.0ms (67.4% of total)

ival-div: 2.0ms (12.3% of total)

adjust: 2.0ms (12.3% of total)

ival-add: 1.0ms (6.1% of total)

ival-sub: 1.0ms (6.1% 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

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2764018023719844e-12	2.9872196193012564e-11
0.0ms	-7.770771460767275e-165	-1.162385482293542e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.2764018023719844e-12	2.9872196193012564e-11
0.0ms	-2.166419692089706e-259	-1.888319998741961e-262
0.0ms	-9.96702496770153e-213	-1.9996683783581063e-213
0.0ms	-7.770771460767275e-165	-1.162385482293542e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	2.058522839212724e+176	3.871763191653338e+195
0.0ms	1.2764018023719844e-12	2.9872196193012564e-11
0.0ms	-2.166419692089706e-259	-1.888319998741961e-262
0.0ms	-9.96702496770153e-213	-1.9996683783581063e-213
0.0ms	-7.770771460767275e-165	-1.162385482293542e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	2.058522839212724e+176	3.871763191653338e+195
0.0ms	2.547636506246437e-16	1.2764018023719844e-12
0.0ms	-2.166419692089706e-259	-1.888319998741961e-262
0.0ms	-9.96702496770153e-213	-1.9996683783581063e-213
0.0ms	-7.770771460767275e-165	-1.162385482293542e-173

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	2.058522839212724e+176	3.871763191653338e+195
0.0ms	2.547636506246437e-16	1.2764018023719844e-12
0.0ms	-0.285572337801682	-4.107385944813478e-12

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	1.3932312744354838e+169	1.8585770232598022e+173
0.0ms	1.2764018023719844e-12	2.9872196193012564e-11
0.0ms	-0.285572337801682	-4.107385944813478e-12

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch20.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.3933236178536327e+29	3.714263120512128e+29

Samples

8.0ms	23×	2	valid
3.0ms	18×	1	valid
2.0ms	23×	0	valid
1.0ms	13×	0	exit

Compiler

Compiled 484 to 269 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 8.0ms (67.9% of total)

adjust: 2.0ms (17% of total)

ival-add: 1.0ms (8.5% of total)

ival-div: 1.0ms (8.5% of total)

ival-sub: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.000237500137377083	0.8265611670077474

Compiler

Compiled 1 472 to 773 computations (47.5% saved)

simplify80.0ms (0.4%)

Memory

-23.9MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	137	1585
1	192	1585
2	289	1585
3	609	1567
4	1350	1531
5	3539	1513
6	6041	1513
7	7351	1513

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 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)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 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 -7580654747562055/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) 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)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 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 -7580654747562055/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000002979592200829727956576797975433261548943857016525055940987126464105487950549562823363386241041113858513490173533123909273236227696446495534838615558944175685632 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #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))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 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 -7580654747562055/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000002979592200829727956576797975433261548943857016525055940987126464105487950549562823363386241041113858513490173533123909273236227696446495534838615558944175685632 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 (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 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 #s(literal 1 binary64) n) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000000000000002979592200829727956576797975433261548943857016525055940987126464105487950549562823363386241041113858513490173533123909273236227696446495534838615558944175685632 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 (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 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 #s(literal 1 binary64) n) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960 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 (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))))
(if (<=.f64 x #s(literal 309999999999999989275735097344 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) #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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 n x))) (neg.f64 x))) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 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 #s(literal 1 binary64) n) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (- (/ x n) (- (exp (/ (log x) n)) 1)) (/.f64 (-.f64 x (log.f64 x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960 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 (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x)))))))
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#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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (.f64 #s(approx (+ ( (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) 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))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

soundness1.0s (4.5%)

Memory

7.2MiB live, 243.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1168	9137
1	3739	8445
0	9189	7840
0	851	4511
1	2655	4137
2	7807	4124
0	8358	3883
0	1089	10507
1	3568	9858
0	8472	9196
0	263	1455
1	761	1349
2	2161	1275
3	7630	1269
0	8915	1165

Stop Event

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

Compiler

Compiled 1 760 to 327 computations (81.4% saved)

preprocess80.0ms (0.4%)

Memory: 28.0MiB live, 104.6MiB allocated
Compiler: Compiled 3 232 to 294 computations (90.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	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	112	13
8	161	13
9	177	13
10	185	13
0	185	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	112	34
8	161	34
9	177	34
10	185	34
0	185	34

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	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	112	13
8	161	13
9	177	13
10	185	13
0	185	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	112	34
8	161	34
9	177	34
10	185	34
0	185	34

start0.0ms (0%)

analyze215.0ms (1%)

sample14.5s (65.1%)

explain240.0ms (1.1%)

preprocess27.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize86.0ms (0.4%)

series59.0ms (0.3%)

simplify185.0ms (0.8%)

rewrite146.0ms (0.7%)

eval54.0ms (0.2%)

prune19.0ms (0.1%)

simplify127.0ms (0.6%)

localize348.0ms (1.6%)

series154.0ms (0.7%)

simplify207.0ms (0.9%)

rewrite200.0ms (0.9%)

eval464.0ms (2.1%)

prune49.0ms (0.2%)

simplify185.0ms (0.8%)

localize450.0ms (2%)

series174.0ms (0.8%)

simplify211.0ms (1%)

rewrite226.0ms (1%)

eval146.0ms (0.7%)

prune73.0ms (0.3%)

simplify149.0ms (0.7%)

localize433.0ms (1.9%)

series312.0ms (1.4%)

simplify367.0ms (1.6%)

rewrite442.0ms (2%)

eval148.0ms (0.7%)

prune77.0ms (0.3%)

regimes104.0ms (0.5%)

regimes101.0ms (0.5%)

regimes58.0ms (0.3%)

regimes14.0ms (0.1%)

regimes52.0ms (0.2%)

regimes62.0ms (0.3%)

regimes11.0ms (0%)

regimes65.0ms (0.3%)

regimes33.0ms (0.2%)

regimes26.0ms (0.1%)

regimes7.0ms (0%)

bsearch51.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.1%)

bsearch2.0ms (0%)

simplify80.0ms (0.4%)

soundness1.0s (4.5%)

preprocess80.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	160	67
4	251	67
5	370	67
6	449	67
7	493	67
8	540	67
9	556	67
10	564	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	112	13
8	161	13
9	177	13
10	185	13
0	185	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	112	34
8	161	34
9	177	34
10	185	34
0	185	34