Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze193.0ms (0.8%)

Memory

23.2MiB live, 283.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.8s (64.3%)

Memory

-118.2MiB live, 13 406.9MiB allocated

Samples

9.6s	4 899×	5	exit
1.7s	2 763×	2	valid
799.0ms	2 890×	1	valid
671.0ms	2 261×	1	exit
470.0ms	2 603×	0	valid
169.0ms	1 557×	0	exit
9.0ms	4×	4	exit
4.0ms	5×	2	exit
2.0ms	3×	3	exit

Precisions

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

ival-pow: 9.9s (80% of total)

adjust: 1.2s (9.8% of total)

ival-div: 576.0ms (4.7% of total)

ival-add: 367.0ms (3% of total)

ival-sub: 279.0ms (2.3% of total)

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

exact: 13.0ms (0.1% of total)

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

Bogosity

explain325.0ms (1.4%)

Memory

26.3MiB live, 341.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
105	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
30	43	(1.5854968569172365e-165 -1.0180551172846042e-89)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	117	0
-	61	78

Precision

0.6573033707865169

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	61	0	78

Precision?

0.6573033707865169

Recall?

1.0

Freqs

test

number	freq
0	78
1	178

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

162.0ms	236×	1	valid
73.0ms	164×	2	valid
9.0ms	112×	0	valid

Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-pow: 185.0ms (84.2% of total)

adjust: 14.0ms (6.4% of total)

ival-div: 10.0ms (4.6% of total)

ival-add: 5.0ms (2.3% of total)

ival-sub: 5.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess81.0ms (0.4%)

Memory

-15.0MiB live, 21.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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))

localize182.0ms (0.8%)

Memory

-24.4MiB live, 69.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	7.27562339935991	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	24.010082113363474	(-.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

75.0ms	56×	0	valid
66.0ms	82×	2	valid
32.0ms	118×	1	valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-pow: 74.0ms (81.9% of total)

adjust: 7.0ms (7.7% of total)

ival-div: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% of total)

ival-sub: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 43

Calls

Call 1

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

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

Calls

6 calls:

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

simplify167.0ms (0.7%)

Memory

29.2MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1357
1	700	1251
2	2006	1182
3	7118	1182
0	8318	1082

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

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

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

rewrite186.0ms (0.8%)

Memory

-9.3MiB live, 111.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	63	26
2	407	26
3	4335	26
0	8424	22

Stop Event

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

Counts

4 → 271

Calls

Call 1

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

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

eval91.0ms (0.4%)

Memory: -1.4MiB live, 76.8MiB allocated
Compiler: Compiled 10 290 to 1 319 computations (87.2% saved)

prune40.0ms (0.2%)

Memory

-3.1MiB live, 34.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	355	12	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	13	368

Accuracy

99.8%

Counts

368 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	62.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.9%	(-.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)))
	32.8%	(-.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)))
▶	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))))
	29.1%	#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))
▶	35.1%	#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 #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))
	38.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	63.4%	#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) (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
▶	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	51.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 841 to 490 computations (41.7% saved)

simplify146.0ms (0.6%)

Memory

-4.9MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	7360	(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))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
cost-diff	384	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(/.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	37	373
0	62	373
1	95	373
2	154	373
3	318	373
4	825	367
5	3029	367
6	6800	355
0	8452	352

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

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

localize346.0ms (1.5%)

Memory

0.8MiB live, 177.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(/.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)
accuracy	0.44146460940996934	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	11.438100472194334	(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))
accuracy	26.12684399714979	#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))
accuracy	0.0	(log.f64 x)
accuracy	0.22265625	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	21.88171346793938	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	25.411840863364386	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.015625	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy	0.11328125	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy	26.15083440183177	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
accuracy	0.0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	15.652157605326407	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	24.010082113363474	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.44369125976844204	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	22.317848201647468	#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))
accuracy	25.411840863364386	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	25.41346354374191	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

137.0ms	129×	1	valid
115.0ms	82×	2	valid
10.0ms	38×	0	exit
2.0ms	7×	0	valid

Compiler

Compiled 706 to 71 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-pow2: 55.0ms (28.7% of total)

ival-pow: 40.0ms (20.9% of total)

ival-div: 30.0ms (15.7% of total)

adjust: 27.0ms (14.1% of total)

ival-log: 9.0ms (4.7% of total)

ival-sub: 8.0ms (4.2% of total)

ival-log1p: 8.0ms (4.2% of total)

ival-mult: 7.0ms (3.7% of total)

ival-add: 7.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series249.0ms (1.1%)

Memory

-1.3MiB live, 223.5MiB allocated

Counts

22 → 185

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

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log x) (/ 1/2 (* n n)))
47.0ms	x	@	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log x) (/ 1/2 (* n n)))
40.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log x) (/ 1/2 (* n n)))
26.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log x) (/ 1/2 (* n n)))
25.0ms	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) (/ (/ (pow x (/ 1 n)) x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log x) (/ 1/2 (* n n)))

simplify180.0ms (0.8%)

Memory

18.5MiB live, 257.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	939	5170
1	2922	4801
0	8308	4550

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 184

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

rewrite297.0ms (1.3%)

Memory

-1.1MiB live, 267.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	299
0	62	299
1	280	281
2	2503	281
0	8440	281

Stop Event

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

Counts

22 → 727

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

eval163.0ms (0.7%)

Memory: 23.1MiB live, 296.6MiB allocated
Compiler: Compiled 55 081 to 5 260 computations (90.5% saved)

prune328.0ms (1.4%)

Memory

-264.5MiB live, 111.4MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 245	21	1 266
Fresh	5	2	7
Picked	3	2	5
Done	0	1	1
Total	1 253	26	1 279

Accuracy

100.0%

Counts

1 279 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.9%	(-.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)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
▶	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
✓	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	56.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
	43.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) n))
▶	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	25.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	34.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
▶	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
	51.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
	24.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
	31.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n)))) (.f64 x x))))

Compiler

Compiled 1 587 to 951 computations (40.1% saved)

simplify110.0ms (0.5%)

Memory

-13.8MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) n)
cost-diff	0	(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
cost-diff	0	(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
cost-diff	128	(/.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))
cost-diff	192	(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))
cost-diff	192	(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))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
cost-diff	0	(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
cost-diff	0	(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
cost-diff	0	(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	376
0	76	372
1	113	372
2	165	356
3	314	352
4	688	352
5	1962	352
6	5852	352
0	8097	352

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
x
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
(/.f64 #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 (- (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)))
(/.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))
(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))
(/.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)
(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))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
(-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(neg.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
x
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
#s(literal 1 binary64)
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
n
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)

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

localize291.0ms (1.3%)

Memory

-0.4MiB live, 310.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
accuracy	0.9465184070594637	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
accuracy	25.415747113364386	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) n)
accuracy	0.11328125	(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
accuracy	0.20711578767405006	(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
accuracy	26.15083440183177	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
accuracy	0.2109375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
accuracy	0.265625	(/.f64 #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)
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
accuracy	35.73210860275206	#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)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.265625	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
accuracy	34.903978250162474	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(pow.f64 n #s(literal -1 binary64))
accuracy	0.00390625	(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
accuracy	0.12890625	(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
accuracy	26.15083440183177	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))

Samples

151.0ms	100×	2	valid
83.0ms	111×	1	valid
20.0ms	45×	0	valid

Compiler

Compiled 675 to 92 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-pow: 100.0ms (47.8% of total)

ival-div: 36.0ms (17.2% of total)

adjust: 23.0ms (11% of total)

ival-sub: 10.0ms (4.8% of total)

ival-add: 9.0ms (4.3% of total)

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

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

ival-log1p: 7.0ms (3.3% of total)

const: 5.0ms (2.4% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series106.0ms (0.5%)

Memory

8.6MiB live, 203.7MiB allocated

Counts

24 → 119

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(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))
(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))
(/.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 n #s(literal -1 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)))
(/.f64 #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)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (pow n -1)) n) x) (/ (pow x (pow n -1)) n) (pow x (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ 1/2 n) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow n -1) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x))
21.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (pow n -1)) n) x) (/ (pow x (pow n -1)) n) (pow x (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ 1/2 n) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow n -1) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x))
17.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (pow n -1)) n) x) (/ (pow x (pow n -1)) n) (pow x (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ 1/2 n) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow n -1) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x))
16.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (pow n -1)) n) x) (/ (pow x (pow n -1)) n) (pow x (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ 1/2 n) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow n -1) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x))
13.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (pow n -1)) n) x) (/ (pow x (pow n -1)) n) (pow x (pow n -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ 1/2 n) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (log (+ 1 x)) (log x))) (- (log (+ 1 x)) (log x)) (pow n -1) (- (log (+ 1 x)) (log x)) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (/ 1/4 x) 1/3) x))

simplify157.0ms (0.7%)

Memory

27.2MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	542	2221
1	1632	2113
2	4727	2024
0	8111	1909

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 119

Calls

Call 1

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

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

rewrite169.0ms (0.7%)

Memory

-23.8MiB live, 169.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	324
0	76	321
1	320	297
2	2233	297
0	8751	297

Stop Event

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

Counts

24 → 938

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(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))
(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))
(/.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 n #s(literal -1 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)))
(/.f64 #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)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
(*.f64 (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) n))
(*.f64 (/.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64))) n))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))
(.f64 (/.f64 (.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 x)))
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)))) x)
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) x) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1/4 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) x) (.f64 x x)) (/.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)))) (/.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x))) x) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64)))) x) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/9 binary64)))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))

eval122.0ms (0.5%)

Memory: 16.2MiB live, 167.2MiB allocated
Compiler: Compiled 34 367 to 4 618 computations (86.6% saved)

prune47.0ms (0.2%)

Memory

13.0MiB live, 89.5MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	893	23	916
Fresh	8	10	18
Picked	4	1	5
Done	1	2	3
Total	906	36	942

Accuracy

100.0%

Counts

942 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.9%	(-.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)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	42.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
	56.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	56.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))) n))
	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
	25.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	43.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) x)) n))
✓	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
▶	25.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
	34.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) n)))
	56.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (/.f64 (neg.f64 n) (log.f64 x)))))
	26.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) x))))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
▶	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
	51.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	18.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) n) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.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)) x))) (/.f64 #s(literal -1 binary64) n)))
▶	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
▶	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
	25.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) x)))
	24.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))

Compiler

Compiled 2 199 to 1 390 computations (36.8% saved)

simplify104.0ms (0.5%)

Memory

-17.9MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
cost-diff	640	(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
cost-diff	0	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
cost-diff	384	(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
cost-diff	896	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(*.f64 n x)
cost-diff	0	#s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
cost-diff	0	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	450
0	87	450
1	132	438
2	209	420
3	420	412
4	1047	404
5	3390	404
6	7264	404
0	8084	404

Stop Event

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

Calls

Call 1

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

localize330.0ms (1.4%)

Memory

33.0MiB live, 307.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))
accuracy	0.25619125976844204	(/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))
accuracy	25.415747113364386	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)))))
accuracy	0.265625	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n)
accuracy	27.675553856376382	#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
accuracy	35.73210860275206	#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.1953125	(/.f64 (/.f64 #s(literal 1 binary64) x) n)
accuracy	0.41015625	(/.f64 #s(literal 1/3 binary64) x)
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
accuracy	34.3041536170556	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))
accuracy	0.0	(*.f64 n x)
accuracy	0.9465184070594637	(/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)))
accuracy	30.838663636384364	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
accuracy	34.62384561407525	#s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.00390625	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
accuracy	0.12890625	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
accuracy	26.15083440183177	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))

Samples

144.0ms	99×	2	valid
130.0ms	112×	1	valid
16.0ms	45×	0	valid

Compiler

Compiled 757 to 116 computations (84.7% saved)

Precisions

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

ival-pow: 88.0ms (35.6% of total)

ival-div: 45.0ms (18.2% of total)

adjust: 37.0ms (15% of total)

ival-add: 30.0ms (12.2% of total)

ival-mult: 13.0ms (5.3% of total)

ival-sub: 8.0ms (3.2% of total)

ival-log: 8.0ms (3.2% of total)

ival-log1p: 8.0ms (3.2% of total)

const: 7.0ms (2.8% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series110.0ms (0.5%)

Memory

-3.2MiB live, 192.2MiB allocated

Counts

25 → 122

Calls

Call 1

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

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)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) n)
(exp (/ (log x) n))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(* -1 (/ n (log x)))
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(* n x)
(/ 1/3 (* n (pow x 2)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ -1/4 (pow x 4))
(/ (- (* 1/3 x) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))
(* -1/2 (/ (log x) n))
(+ (* -1/2 (/ (log x) n)) (* 1/2 (/ x n)))
(+ (* -1/2 (/ (log x) n)) (* x (+ (* -1/4 (/ x n)) (* 1/2 (/ 1 n)))))
(+ (* -1/2 (/ (log x) n)) (* x (+ (* x (- (* 1/6 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/2 (/ 1 n)))))
(/ 1/3 x)
(/ 1 (* n x))
(/ -1 (log x))
(- (* -1 (/ x (pow (log x) 2))) (/ 1 (log x)))
(- (* x (- (* x (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(- (* x (- (* x (- (+ (* 1/2 (/ 1 (pow (log x) 2))) (* x (- (* 1/2 (/ 1 (pow (log x) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) (log x))) (* 1/3 (/ 1 (pow (log x) 2))))))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(exp (* -1 (/ (log (/ 1 x)) n)))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(* x (+ n (* 1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))
(/ 1 n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1/2 (* n x))
(/ (- (* 1/2 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/6 (* n (pow x 2))) (* 1/2 (/ 1 n))) (/ 1/4 (* n x))) x)
(/ (- (+ (* 1/2 (/ 1 n)) (* 1/6 (/ 1 (* n (pow x 2))))) (+ (/ 1/4 (* n x)) (* 1/8 (/ 1 (* n (pow x 3)))))) x)
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/12 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/24 (/ 1 (pow x 3))))) (/ 1/12 (pow x 2))))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* n x))) (* 1/6 (/ 1 n))) x)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 x))) x))) x)) 1)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ n (- (log (+ 1 x)) (log x)))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(* 1/2 (/ (- (log (+ 1 x)) (log x)) n))
(/ 1/2 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 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ (+ 1 (/ (log x) n)) n)
(/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(* -1 (/ (- (* -1 (log (+ 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 x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) 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 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) n) x) (/ (pow x (/ 1 n)) n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* 2 (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/2 n) (/ 1 n) (/ 1/3 x) (/ (/ 1 x) n) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
23.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) n) x) (/ (pow x (/ 1 n)) n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* 2 (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/2 n) (/ 1 n) (/ 1/3 x) (/ (/ 1 x) n) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
19.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) n) x) (/ (pow x (/ 1 n)) n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* 2 (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/2 n) (/ 1 n) (/ 1/3 x) (/ (/ 1 x) n) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
15.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) n) x) (/ (pow x (/ 1 n)) n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* 2 (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/2 n) (/ 1 n) (/ 1/3 x) (/ (/ 1 x) n) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))
13.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) n) x) (/ (pow x (/ 1 n)) n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (- (log (+ 1 x)) (log x)))) (/ n (- (log (+ 1 x)) (log x))) (* n x) (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1)) (* 2 (/ (/ 1/2 n) (pow (- (log (+ 1 x)) (log x)) -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1/2 n) (/ 1 n) (/ 1/3 x) (/ (/ 1 x) n) (- (log (+ 1 x)) (log x)) (pow (- (log (+ 1 x)) (log x)) -1))

simplify205.0ms (0.9%)

Memory

-13.4MiB live, 265.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	2390
1	1900	2278
2	5443	2210
0	8842	2088

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 121

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) n)
(exp (/ (log x) n))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(* -1 (/ n (log x)))
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(* n x)
(/ 1/3 (* n (pow x 2)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ -1/4 (pow x 4))
(/ (- (* 1/3 x) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))
(* -1/2 (/ (log x) n))
(+ (* -1/2 (/ (log x) n)) (* 1/2 (/ x n)))
(+ (* -1/2 (/ (log x) n)) (* x (+ (* -1/4 (/ x n)) (* 1/2 (/ 1 n)))))
(+ (* -1/2 (/ (log x) n)) (* x (+ (* x (- (* 1/6 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/2 (/ 1 n)))))
(/ 1/3 x)
(/ 1 (* n x))
(/ -1 (log x))
(- (* -1 (/ x (pow (log x) 2))) (/ 1 (log x)))
(- (* x (- (* x (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(- (* x (- (* x (- (+ (* 1/2 (/ 1 (pow (log x) 2))) (* x (- (* 1/2 (/ 1 (pow (log x) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 3))) (log x))) (* 1/3 (/ 1 (pow (log x) 2))))))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(exp (* -1 (/ (log (/ 1 x)) n)))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(* x (+ n (* 1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))
(/ 1 n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1/2 (* n x))
(/ (- (* 1/2 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/6 (* n (pow x 2))) (* 1/2 (/ 1 n))) (/ 1/4 (* n x))) x)
(/ (- (+ (* 1/2 (/ 1 n)) (* 1/6 (/ 1 (* n (pow x 2))))) (+ (/ 1/4 (* n x)) (* 1/8 (/ 1 (* n (pow x 3)))))) x)
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/12 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/24 (/ 1 (pow x 3))))) (/ 1/12 (pow x 2))))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* n x))) (* 1/6 (/ 1 n))) x)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 x))) x))) x)) 1)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ n (- (log (+ 1 x)) (log x)))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(* 1/2 (/ (- (log (+ 1 x)) (log x)) n))
(/ 1/2 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 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ (+ 1 (/ (log x) n)) n)
(/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(* -1 (/ (- (* -1 (log (+ 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 x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) 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 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* n x)))

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

rewrite159.0ms (0.7%)

Memory

21.0MiB live, 215.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	407
0	87	407
1	358	363
2	2734	363
0	8212	363

Stop Event

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

Counts

25 → 638

Calls

Call 1

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

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

eval158.0ms (0.7%)

Memory: 8.9MiB live, 168.7MiB allocated
Compiler: Compiled 32 519 to 3 928 computations (87.9% saved)

prune76.0ms (0.3%)

Memory

-20.4MiB live, 63.8MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	757	10	767
Fresh	9	19	28
Picked	2	3	5
Done	0	3	3
Total	768	35	803

Accuracy

100.0%

Counts

803 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	22.9%	(-.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)))
✓	39.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	42.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	59.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
	56.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	58.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))) n))
	25.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) x)) n))
✓	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
✓	25.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
	34.3%	#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) n)))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (/.f64 (neg.f64 n) (log.f64 x)))))
	26.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) x))))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
✓	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
	51.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	18.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))))
	56.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
	56.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))
	56.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x)))))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (.f64 n x) n)) x)))
	24.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
	43.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) n)) x)))
	38.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
	35.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64))))))
	42.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))

Compiler

Compiled 3 461 to 1 154 computations (66.7% saved)

regimes113.0ms (0.5%)

Memory

17.0MiB live, 89.6MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (.f64 n x) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (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 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.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)) x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (/.f64 (neg.f64 n) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) x) (/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(-.f64 (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 (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(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #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) 1/2) (- (log (+ 1 x)) (log x))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) n) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n)))) (.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 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)))))
#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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))

Outputs

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

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

Calls

4 calls:

39.0ms	x
33.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.0ms	(/.f64 #s(literal 1 binary64) n)
19.0ms	n

Results

Accuracy	Segments	Branch
92.3%	2	`x`
86.8%	3	`n`
86.5%	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)))`
88.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes83.0ms (0.4%)

Memory

-5.4MiB live, 79.6MiB allocated

Counts

44 → 4

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	n
21.0ms	x
13.0ms	(/.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
81.5%	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)))`
85.1%	5	`n`
85.1%	4	`(/.f64 #s(literal 1 binary64) n)`
74.6%	3	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes24.0ms (0.1%)

Memory

-23.4MiB live, 15.2MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

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

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

33 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
84.9%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes28.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	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
80.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
76.2%	4	`n`
76.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes65.0ms (0.3%)

Memory

3.3MiB live, 41.7MiB allocated

Counts

30 → 5

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	n
9.0ms	x
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
65.8%	5	`x`
68.6%	5	`n`
68.4%	5	`(/.f64 #s(literal 1 binary64) n)`
56.4%	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)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes39.0ms (0.2%)

Memory

-6.1MiB live, 31.3MiB allocated

Counts

26 → 5

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	n
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	x

Results

Accuracy	Segments	Branch
63.6%	5	`x`
64.7%	5	`(/.f64 #s(literal 1 binary64) n)`
64.9%	5	`n`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes47.0ms (0.2%)

Memory

-26.5MiB live, 18.3MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n

Results

Accuracy	Segments	Branch
59.0%	4	`x`
58.8%	5	`(/.f64 #s(literal 1 binary64) n)`
56.6%	4	`n`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes22.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) n)
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
55.5%	3	`(/.f64 #s(literal 1 binary64) n)`
48.6%	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)))`
51.8%	3	`x`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes11.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.4%	3	`n`
54.4%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes10.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
40.6%	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)))`
37.5%	1	`x`
39.5%	2	`n`
40.9%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes29.0ms (0.1%)

Memory

-30.4MiB live, 8.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	n
2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
37.5%	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)))`
37.5%	1	`(/.f64 #s(literal 1 binary64) n)`
37.5%	1	`n`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes6.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	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)))`
37.5%	1	`(/.f64 #s(literal 1 binary64) n)`
37.5%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes36.0ms (0.2%)

Memory

1.3MiB live, 22.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1.0ms	(/.f64 #s(literal 1 binary64) n)
1.0ms	x
1.0ms	n

Results

Accuracy	Segments	Branch
36.6%	1	`x`
36.6%	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)))`
36.6%	1	`(/.f64 #s(literal 1 binary64) n)`
36.6%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch59.0ms (0.3%)

Memory

28.0MiB live, 55.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	0.22876928449579892	21013.202118550507

Samples

33.0ms	31×	2	valid
9.0ms	51×	1	valid
5.0ms	62×	0	valid
2.0ms	19×	0	exit

Compiler

Compiled 430 to 283 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 25.0ms (56.8% of total)

ival-pow: 14.0ms (31.8% of total)

adjust: 3.0ms (6.8% of total)

ival-div: 2.0ms (4.5% of total)

ival-add: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3864015996337727e+216	7.799616628323186e+219
0.0ms	3.9199168214168e-21	0.003275969597540915
0.0ms	-8.553236860664784e-8	-4.167786157617322e-15

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3864015996337727e+216	7.799616628323186e+219
0.0ms	3.9199168214168e-21	0.003275969597540915
0.0ms	-8.553236860664784e-8	-4.167786157617322e-15

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3864015996337727e+216	7.799616628323186e+219
0.0ms	0.003275969597540915	2454.0861047094336
0.0ms	-8.553236860664784e-8	-4.167786157617322e-15

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0
0.0ms	-inf	-2.6056934387952424e-12

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch301.0ms (1.3%)

Memory

-31.8MiB live, 193.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
121.0ms	0.000407483664929679	305.2531381092924
72.0ms	3.230812250460026e-243	7.4616675561128735e-242
31.0ms	-11691480.269871503	-313692.71781316097
70.0ms	-4.25699134706824e+81	-1.4932448554594414e+77

Samples

158.0ms	269×	1	valid
62.0ms	68×	2	valid
14.0ms	159×	0	valid
5.0ms	64×	0	exit

Compiler

Compiled 1 869 to 1 255 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-pow: 126.0ms (57.2% of total)

adjust: 76.0ms (34.5% of total)

ival-div: 7.0ms (3.2% of total)

ival-add: 5.0ms (2.3% of total)

ival-sub: 5.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	0.000407483664929679	305.2531381092924
1.0ms	3.230812250460026e-243	7.4616675561128735e-242
1.0ms	-11691480.269871503	-313692.71781316097
1.0ms	-4.25699134706824e+81	-1.4932448554594414e+77

Compiler

Compiled 1 869 to 1 241 computations (33.6% saved)

bsearch81.0ms (0.4%)

Memory

5.3MiB live, 78.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	2.9378366486052016e+170	3.441598475468539e+171
2.0ms	0.22876928449579892	21013.202118550507
40.0ms	7.803481011272612e-22	1.2269182353603043e-19

Samples

29.0ms	78×	2	valid
8.0ms	94×	0	valid
7.0ms	36×	1	valid
1.0ms	15×	0	exit

Compiler

Compiled 1 788 to 1 156 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 27.0ms (70.2% of total)

adjust: 5.0ms (13% of total)

ival-div: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5162223207886075e+99	8.21633950433859e+101
0.0ms	-37176910286595680.0	-8.729855930728571e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5162223207886075e+99	8.21633950433859e+101
0.0ms	-37176910286595680.0	-8.729855930728571e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch60.0ms (0.3%)

Memory

1.3MiB live, 38.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	-239935534641654.75	-11691480.269871503

Samples

35.0ms	21×	2	valid
10.0ms	47×	1	valid
7.0ms	76×	0	valid

Compiler

Compiled 538 to 373 computations (30.7% saved)

Precisions

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

ival-pow: 40.0ms (85.3% of total)

ival-div: 2.0ms (4.3% of total)

adjust: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify97.0ms (0.4%)

Memory

-28.8MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	178	1387
1	229	1387
2	290	1377
3	429	1377
4	733	1367
5	1193	1367
6	1769	1367
7	3481	1367
8	5398	1367
9	7291	1367

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000042843093916083914884986269493489898588353418190684583481166660738809762058694254899725914558636661864181657900957739886843189208296670960146935684485884880403647747761611295732625305407912459924144128 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (.f64 n x) n)) x))))))
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(if (<=.f64 n #s(literal -19999999999999999347120150013191038445492807213299959826532049237266006443819008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) (if (<=.f64 n #s(literal -320000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 n #s(literal 8888899925304765/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ ( (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 n #s(literal 300 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))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (*.f64 n x) n)) x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ ( (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))

Outputs
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000042843093916083914884986269493489898588353418190684583481166660738809762058694254899725914558636661864181657900957739886843189208296670960146935684485884880403647747761611295732625305407912459924144128 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (.f64 n x) n)) x))))))
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(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (+ (* 2 (/ 1/2 n)) -1)) (pow.f64 x (-.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2000000000000000042843093916083914884986269493489898588353418190684583481166660738809762058694254899725914558636661864181657900957739886843189208296670960146935684485884880403647747761611295732625305407912459924144128 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 n x)) (.f64 (*.f64 n x) n)) x))))))
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(if (<=.f64 n #s(literal -19999999999999999347120150013191038445492807213299959826532049237266006443819008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) (if (<=.f64 n #s(literal -320000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 n #s(literal 8888899925304765/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ ( (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 n #s(literal 300 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))))))
(if (<=.f64 x #s(literal 4984604984193435/41538374868278621028243970633760768 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (.f64 n x) n)) x))) (if (<=.f64 x #s(literal 410000000000000004726346715858287682060808959475320475394287881053091537240295924365723468788970908244526425532272034568796809326416744022910049665588632355952614239633408 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))))))
(if (<=.f64 x #s(literal 4984604984193435/41538374868278621028243970633760768 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 n x)) (.f64 (.f64 n x) n)) x))) (if (<=.f64 x #s(literal 410000000000000004726346715858287682060808959475320475394287881053091537240295924365723468788970908244526425532272034568796809326416744022910049665588632355952614239633408 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ ( (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 (.f64 n x) #s(literal 1 binary64))) (.f64 (*.f64 n x) n)) x)))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -20000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (+ (* (/ (/ 1 x) n) (- (/ 1/3 x) 1/2)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n (.f64 n x)) (.f64 (.f64 n x) n)) x)))))
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(if (<=.f64 n #s(literal -12000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(approx (pow (- (log (+ 1 x)) (log x)) -1) (+.f64 #s(literal 1/2 binary64) x))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (pow n -1)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 #s(approx (/ n (- (log (+ 1 x)) (log x))) (*.f64 n x)) #s(literal -1 binary64)))

soundness1.8s (8%)

Memory

-41.4MiB live, 1 312.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	407
0	87	407
1	358	363
2	2734	363
0	8212	363
0	49	324
0	76	321
1	320	297
2	2233	297
0	8751	297
0	542	2221
1	1632	2113
2	4727	2024
0	8111	1909
0	614	2390
1	1900	2278
2	5443	2210
0	8842	2088
0	939	5170
1	2922	4801
0	8308	4550
0	240	1357
1	700	1251
2	2006	1182
3	7118	1182
0	8318	1082
0	37	299
0	62	299
1	280	281
2	2503	281
0	8440	281

Stop Event

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

Compiler

Compiled 2 427 to 976 computations (59.8% saved)

preprocess103.0ms (0.4%)

Memory: 21.0MiB live, 136.7MiB allocated
Compiler: Compiled 2 800 to 384 computations (86.3% 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%)

analyze193.0ms (0.8%)

sample14.8s (64.3%)

explain325.0ms (1.4%)

preprocess81.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize182.0ms (0.8%)

series9.0ms (0%)

simplify167.0ms (0.7%)

rewrite186.0ms (0.8%)

eval91.0ms (0.4%)

prune40.0ms (0.2%)

simplify146.0ms (0.6%)

localize346.0ms (1.5%)

series249.0ms (1.1%)

simplify180.0ms (0.8%)

rewrite297.0ms (1.3%)

eval163.0ms (0.7%)

prune328.0ms (1.4%)

simplify110.0ms (0.5%)

localize291.0ms (1.3%)

series106.0ms (0.5%)

simplify157.0ms (0.7%)

rewrite169.0ms (0.7%)

eval122.0ms (0.5%)

prune47.0ms (0.2%)

simplify104.0ms (0.5%)

localize330.0ms (1.4%)

series110.0ms (0.5%)

simplify205.0ms (0.9%)

rewrite159.0ms (0.7%)

eval158.0ms (0.7%)

prune76.0ms (0.3%)

regimes113.0ms (0.5%)

regimes83.0ms (0.4%)

regimes24.0ms (0.1%)

regimes12.0ms (0.1%)

regimes28.0ms (0.1%)

regimes65.0ms (0.3%)

regimes39.0ms (0.2%)

regimes47.0ms (0.2%)

regimes22.0ms (0.1%)

regimes11.0ms (0%)

regimes10.0ms (0%)

regimes29.0ms (0.1%)

regimes6.0ms (0%)

regimes36.0ms (0.2%)

bsearch59.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch301.0ms (1.3%)

bsearch5.0ms (0%)

bsearch81.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch60.0ms (0.3%)

simplify97.0ms (0.4%)

soundness1.8s (8%)

preprocess103.0ms (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