Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze205.0ms (0.7%)

Memory

18.6MiB live, 211.1MiB allocated; 35ms collecting garbage

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)

sample22.7s (79.3%)

Memory

127.2MiB live, 19 441.4MiB allocated; 5.6s collecting garbage

Samples

17.6s	7 198×	5	exit
1.9s	2 835×	2	valid
1.4s	2 890×	1	valid
256.0ms	2 531×	0	valid
178.0ms	1 533×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 20.0s

ival-pow: 17.0s (84.9% of total)

adjust: 1.6s (8.2% of total)

ival-div: 574.0ms (2.9% of total)

ival-sub: 410.0ms (2.1% of total)

ival-add: 352.0ms (1.8% of total)

ival-true: 19.0ms (0.1% of total)

exact: 17.0ms (0.1% of total)

ival-assert: 10.0ms (0.1% of total)

Bogosity

explain282.0ms (1%)

Memory

-39.3MiB live, 63.9MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
103	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)))`
55	23	(1.5863899879243732e-304 -5.245153638232177e-268)	-	`(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	102	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	78	0
`-.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)))`	nan-rescue	1	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	28
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	44

Confusion

	Predicted +	Predicted -
+	132	0
-	49	75

Precision

0.7292817679558011

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	49	0	75

Precision?

0.7292817679558011

Recall?

1.0

Freqs

test

number	freq
0	75
1	181

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms	272×	1	valid
93.0ms	126×	2	valid
9.0ms	114×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-pow: 144.0ms (78.9% of total)

adjust: 19.0ms (10.4% of total)

ival-div: 8.0ms (4.4% of total)

ival-add: 5.0ms (2.7% of total)

ival-sub: 5.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess177.0ms (0.6%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	28	71
2	34	71
3	58	71
4	141	71
5	946	69
6	5310	69
0	8	13
0	13	13
1	16	13
2	19	13
3	32	13
4	75	13
5	372	13
6	6791	13
0	8238	13

Stop Event

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

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 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)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.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)

simplify153.0ms (0.5%)

Memory

3.5MiB live, 48.9MiB allocated; 4ms collecting garbage

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	16	34
2	19	34
3	32	34
4	75	34
5	372	34
6	6791	34
0	8238	34

Stop Event

1×	iter limit
1×	node limit
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 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))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(-.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))

localize109.0ms (0.4%)

Memory

-13.2MiB live, 86.2MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	12.549555015242023	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	23.158504824869617	(-.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

69.0ms	136×	1	valid
28.0ms	63×	2	valid
4.0ms	57×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-pow: 66.0ms (73.6% of total)

adjust: 15.0ms (16.7% of total)

ival-div: 4.0ms (4.5% of total)

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

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.2%)

Memory

15.9MiB live, 62.3MiB allocated; 4ms collecting garbage

Counts

5 → 53

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole 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)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
8.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify130.0ms (0.5%)

Memory

-32.1MiB live, 109.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	1985
1	903	1859
2	3356	1802
0	8333	1692

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole 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)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (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)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (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)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))

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

rewrite50.0ms (0.2%)

Memory

-3.8MiB live, 43.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	59	31
0	410	31

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 55

Calls

Call 1

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

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

eval12.0ms (0%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 227 to 466 computations (85.6% saved)

prune11.0ms (0%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	102	13	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	13	116

Accuracy

99.8%

Counts

116 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	13.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	22.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.3%	(-.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)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	34.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
▶	79.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x))) n))
▶	66.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	57.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	54.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))))

Compiler

Compiled 830 to 504 computations (39.3% saved)

simplify139.0ms (0.5%)

Memory

5.8MiB live, 138.9MiB allocated; 38ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(-.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))
cost-diff	0	(/.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)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	2	(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(/.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x))) n))
cost-diff	1	(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	753
0	103	750
1	170	746
2	346	746
3	1101	746
4	4683	746
0	8131	742

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

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

localize447.0ms (1.6%)

Memory

-20.2MiB live, 170.0MiB allocated; 75ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.525722509768442	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	17.176635815777836	(-.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))
accuracy	24.165960863897126	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))
accuracy	4.980468750000001	(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy	16.501930618257116	(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	34.53353487861627	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	2.4137896529618663	(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	6.626636065011558	(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	34.80975687539185	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.0078125	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	26.105079732262	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	14.913310955665136	(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x)))
accuracy	18.424168808986263	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.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) (*.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))) n) (log.f64 x))) n))
accuracy	24.165960863897126	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.186058401707594	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))

Samples

244.0ms	184×	1	valid
103.0ms	64×	2	valid
3.0ms	8×	0	valid

Compiler

Compiled 677 to 56 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-pow: 72.0ms (24.1% of total)

adjust: 66.0ms (22.1% of total)

ival-mult: 42.0ms (14.1% of total)

ival-div: 33.0ms (11.1% of total)

ival-add: 23.0ms (7.7% of total)

ival-log: 15.0ms (5% of total)

ival-log1p: 15.0ms (5% of total)

const: 12.0ms (4% of total)

ival-sub: 12.0ms (4% of total)

ival-pow2: 9.0ms (3% of total)

exact: 1.0ms (0.3% of total)

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

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

series93.0ms (0.3%)

Memory

-0.3MiB live, 47.3MiB allocated; 10ms collecting garbage

Counts

25 → 260

Calls

Call 1

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

Outputs
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ x (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (+ 1/3 (* 1/6 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) 1/2)))))) (log x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole 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)))) (exp (/ (log x) n)))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x)) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (/ x n))) (/ (log x) n))))
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#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))))
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#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
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#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
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#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 2))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 3))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2)))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2)))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/6 (/ (pow x 3) (pow n 3)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* 1/6 (/ (pow x 2) (pow n 3)))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))
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#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))
#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n)))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* 1/6 (/ x (pow n 3)))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))))
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#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ 1/6 (pow n 3))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ 1/6 (* -1/2 n)) (pow n 3))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (log (+ 1 x)) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n)))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))))
#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n)))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ 1/3 n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) (log x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 x)) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	((+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
19.0ms	x	@	inf	((+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
15.0ms	n	@	inf	((+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
12.0ms	x	@	0	((+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))
11.0ms	n	@	0	((+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (pow (log x) 2))

simplify172.0ms (0.6%)

Memory

17.6MiB live, 62.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1548	14740
1	4715	14313
0	8251	13009

Stop Event

1×	iter limit
1×	node limit

Counts

260 → 260

Calls

Call 1

Inputs
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ x (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) (log x))))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
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#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))))
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#s(approx (pow (log x) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
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#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2))))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 2))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 3))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2)))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))))
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#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))))
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#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))))
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#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n)))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))))
#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n)))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ 1/3 n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)))
#s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) #s(hole binary64 (- (+ (log (+ 1 x)) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) (log x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n))))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))))
#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 x)) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))))
#s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))))

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

rewrite126.0ms (0.4%)

Memory

-5.8MiB live, 39.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	513
0	103	510
1	480	490
0	3917	486

Stop Event

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

Counts

25 → 314

Calls

Call 1

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

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

eval108.0ms (0.4%)

Memory: 24.4MiB live, 75.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 47 200 to 4 675 computations (90.1% saved)

prune39.0ms (0.1%)

Memory

-2.4MiB live, 43.2MiB allocated; 4ms collecting garbage

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	776	23	799
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	783	29	812

Accuracy

99.9%

Counts

812 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	6.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	11.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	31.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) n))) #s(literal -1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (.f64 (/.f64 x (.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	30.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.3%	(-.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)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	14.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
▶	30.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	58.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.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) (log1p.f64 x)) (log.f64 x)) (pow.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) (log1p.f64 x)) #s(literal 2 binary64))) n)))
▶	65.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
	57.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
▶	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)) n))
▶	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	28.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	51.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x))) n))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	44.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (.f64 n n))))
	25.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) n) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	51.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 x n))) (/.f64 (log.f64 x) n))))

Compiler

Compiled 2 663 to 1 539 computations (42.2% saved)

simplify121.0ms (0.4%)

Memory

-8.1MiB live, 38.3MiB allocated; 2ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64))
cost-diff	2	(*.f64 (log.f64 x) #s(literal 1 binary64))
cost-diff	2	(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	1	(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))
cost-diff	2	(fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	2	(neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))
cost-diff	0	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)) n))
cost-diff	2	(fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff	0	(pow.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) (log1p.f64 x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))
cost-diff	23	(/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1111
0	148	1093
1	261	1067
2	616	1056
3	2363	990
0	8348	946

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

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

localize466.0ms (1.6%)

Memory

-6.6MiB live, 137.8MiB allocated; 9ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n)
accuracy	0.29296875	(/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
accuracy	37.94562909467697	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy	3.6043523344054695	(fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))
accuracy	7.500455820343394	(/.f64 (*.f64 x x) n)
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	34.53353487861627	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) n) #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64)))
accuracy	0.1953125	(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)) n)
accuracy	0.29296875	(/.f64 (neg.f64 (log.f64 x)) n)
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)) n))
accuracy	35.49697301805772	#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	26.105079732262	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	33.19033469283279	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	0.691228869865264	(*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)
accuracy	17.165777093385845	(-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.165960863897126	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))

Samples

265.0ms	184×	1	valid
122.0ms	64×	2	valid
4.0ms	8×	0	valid

Compiler

Compiled 824 to 81 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

adjust: 82.0ms (24.4% of total)

ival-pow: 60.0ms (17.9% of total)

ival-div: 50.0ms (14.9% of total)

ival-mult: 44.0ms (13.1% of total)

ival-add: 34.0ms (10.1% of total)

ival-pow2: 14.0ms (4.2% of total)

ival-sub: 14.0ms (4.2% of total)

ival-log: 11.0ms (3.3% of total)

ival-log1p: 11.0ms (3.3% of total)

const: 10.0ms (3% of total)

ival-neg: 6.0ms (1.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series131.0ms (0.5%)

Memory

24.5MiB live, 68.8MiB allocated; 8ms collecting garbage

Counts

28 → 256

Calls

Call 1

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

Outputs
#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(hole binary64 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole 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)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) #s(hole binary64 (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2))))
#s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) #s(hole binary64 (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/4 (/ (pow (log x) 4) (pow n 2)))) (pow (log x) 2))))
#s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n))))))) (pow (log x) 2))))
#s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) #s(hole binary64 (- (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)) (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) n)) (/ 1 n)) 1)))))))) (pow (log x) 2))))
#s(approx (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) #s(hole binary64 (* 1/4 (/ (pow (log x) 4) (pow n 2)))))
#s(approx (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) #s(hole binary64 (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/4 (/ (pow (log x) 4) (pow n 2))))))
#s(approx (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)))))))))
#s(approx (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow (log x) 4) (pow n 2))) (* x (+ (* -1 (/ (pow (log x) 2) n)) (* x (+ 1 (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) n)) (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) n)) (/ 1 n)) 1))))))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole 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))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (- (+ (* -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))))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (- (+ (* -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))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) n)) (log x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (+ (* -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))))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (/ 1 n)))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (+ (* 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))))
#s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) #s(hole binary64 (* 1/2 x)))
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#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1/2 (/ x n))))
#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/6 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) #s(hole binary64 (* 1/2 (/ (+ 1 (* -1 (log x))) (* n x)))))
#s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ 1 (* -1 (log x))) n)) (/ (* x (log x)) n)) x)))
#s(approx (* (log x) 1) #s(hole binary64 (log x)))
#s(approx (+ (* -1 (log x)) 1) #s(hole binary64 (+ 1 (* -1 (log x)))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (pow x 2) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (+ (* n x) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (+ (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))) (* x (+ n (* n (* x (- (* 1/2 (/ 1 n)) 1/2))))))))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (+ (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))) (* x (+ n (* x (+ (* n (* x (- 1/3 (* 1/2 (/ 1 n))))) (* n (- (* 1/2 (/ 1 n)) 1/2)))))))))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (* x x) n) #s(hole binary64 (/ (pow x 2) n)))
#s(approx (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) #s(hole binary64 1))
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#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1/6 (/ (pow x 2) (pow n 2)))))
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#s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (+ 1 (* -1 (log x))) x))) n)))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(hole binary64 1))
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#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x))))
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#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (/ (- (+ 1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n)))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (/ (- (+ 1 (* 1/6 (/ (pow x 2) (pow n 2)))) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x))))) n)))
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#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))))
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#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* n (+ (log x) (log (+ 1 x))))))
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#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (pow x 2) n)) (* -1 (* x (+ 1/2 (* -1/2 x))))) n))))
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Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (/ (neg (log x)) n) -1) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) (* (log x) 1) (+ (* -1 (log x)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (/ (* x x) n) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (* (log x) 1) n) (/ (+ (* -1 (log x)) 1) n))
25.0ms	x	@	-inf	((/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (+ (* (/ (neg (log x)) n) -1) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) (* (log x) 1) (+ (* -1 (log x)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (/ (* x x) n) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (* (log x) 1) n) (/ (+ (* -1 (log x)) 1) n))
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simplify229.0ms (0.8%)

Memory

-28.3MiB live, 69.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1630	17924
1	5062	17648
0	8150	15823

Stop Event

1×	iter limit
1×	node limit

Counts

256 → 256

Calls

Call 1

Inputs
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#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(hole binary64 1))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
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#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (/ (- (+ 1 (* 1/6 (/ (pow x 2) (pow n 2)))) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x))))) n)))
#s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) #s(hole binary64 (* x (+ 1/2 (* -1/2 x)))))
#s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) #s(hole binary64 (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x))))))
#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))))
#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (/ (- (* -1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* n (+ (log x) (log (+ 1 x))))))
#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* n (+ (log x) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))))
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#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x)))))) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* n (pow (+ (log x) (log (+ 1 x))) 2))))) n))))
#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2))))) (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* n (+ (log x) (log (+ 1 x))))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x))))))) n)) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) n))))
#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2))))) (* -1 (/ (+ (* -1 (- (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))))) (* 1/2 (/ (* (- (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x)))))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x))))))) n))) n)) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -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))))
#s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) n))) n)) (pow (log (+ 1 x)) 2)) (pow (log x) 2))))
#s(approx (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) n))) n)) (pow (log (+ 1 x)) 2))))
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#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* -1 (- (* x (+ 1/2 (* -1/3 x))) 1))) n))))
#s(approx (neg (/ (- (+ (* (+ (* -1/3 x) 1/2) x) (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n))) 1) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 2) n)) (* -1 (* x (+ 1/2 (* -1/2 x))))) n)) (* -1 (- (* x (+ 1/2 (* -1/3 x))) 1))) n))))
#s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (pow x 2) n)) (* -1 (* x (+ 1/2 (* -1/2 x))))) n))))
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#s(approx (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ (log x) (log (+ 1 x)))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))))
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Outputs
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rewrite152.0ms (0.5%)

Memory

-3.6MiB live, 44.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	730
0	148	720
1	644	656
0	5542	650

Stop Event

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

Counts

28 → 319

Calls

Call 1

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

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

eval89.0ms (0.3%)

Memory: 20.8MiB live, 65.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 50 831 to 4 481 computations (91.2% saved)

prune41.0ms (0.1%)

Memory

-7.1MiB live, 40.3MiB allocated; 1ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	574	21	595
Fresh	11	12	23
Picked	4	1	5
Done	0	1	1
Total	589	35	624

Accuracy

99.9%

Counts

624 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	24.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 #s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.3%	(-.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)))
▶	7.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	18.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	30.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (.f64 (neg.f64 (log.f64 x)) (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))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
▶	67.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))
	58.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.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) (log1p.f64 x)) (log.f64 x)) (pow.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) (log1p.f64 x)) #s(literal 2 binary64))) n)))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))))
	55.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 3 binary64))) n) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64))))))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64))))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
	57.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	21.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) x) (/.f64 #s(literal -2 binary64) x) (fma.f64 (.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64))) x) (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x))))) x)) (.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))
	28.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (/ (+ (* -1 (log x)) 1) n) x) 1/2) (/ (* (log x) 1) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)) n))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(literal 1 binary64)) x)) n))
	51.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x))) n))
	57.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	57.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))))
▶	37.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
▶	25.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
	44.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.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))) #s(literal 1/2 binary64))) (.f64 n n))))
	51.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 x n))) (/.f64 (log.f64 x) n))))

Compiler

Compiled 4 178 to 1 998 computations (52.2% saved)

simplify129.0ms (0.4%)

Memory

-10.5MiB live, 41.5MiB allocated; 5ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))
cost-diff	0	#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
cost-diff	0	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
cost-diff	2	(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n))
cost-diff	5	(fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
cost-diff	0	(.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	0	#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n))))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(/.f64 x n)
cost-diff	0	(+.f64 (/.f64 x n) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))
cost-diff	23	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	949
0	144	943
1	251	931
2	561	915
3	1934	817
0	8273	803

Stop Event

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

Calls

Call 1

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

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

localize428.0ms (1.5%)

Memory

-2.7MiB live, 134.6MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.722478869865264	(*.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n)
accuracy	0.8789180177274277	(pow.f64 (log.f64 x) #s(literal 4 binary64))
accuracy	25.765806579037946	#s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n)))
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
accuracy	4.277296959294524	(fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
accuracy	4.406250000000001	(-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
accuracy	37.81373084274674	#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x))
accuracy	7.500455820343394	(/.f64 (*.f64 x x) n)
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	34.80975687539185	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n))))
accuracy	36.0637483972436	#s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))
accuracy	0.0	(+.f64 (/.f64 x n) #s(literal 1 binary64))
accuracy	23.158504824869617	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy	32.54234224613227	#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
accuracy	33.19033469283279	#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy	5.111734842990101	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))
accuracy	17.165777093385845	(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	24.165960863897126	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	26.544408929869896	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))

Samples

242.0ms	184×	1	valid
118.0ms	64×	2	valid
4.0ms	8×	0	valid

Compiler

Compiled 695 to 76 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

adjust: 74.0ms (23.9% of total)

ival-pow: 60.0ms (19.4% of total)

ival-div: 57.0ms (18.4% of total)

ival-mult: 35.0ms (11.3% of total)

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

ival-pow2: 18.0ms (5.8% of total)

ival-sub: 16.0ms (5.2% of total)

ival-log: 11.0ms (3.6% of total)

ival-log1p: 11.0ms (3.6% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series104.0ms (0.4%)

Memory

-0.1MiB live, 55.1MiB allocated; 5ms collecting garbage

Counts

26 → 238

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
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16.0ms	x	@	-inf	((/ (/ (- (pow (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) 2) (pow (log x) 2)) n) (+ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) 2) (pow (log x) 2)) n) (- (pow (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) 2) (pow (log x) 2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (* (/ (* x x) n) (/ 1/2 n)) (+ (* (/ -1 n) (/ (neg (log x)) n)) (- (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (/ (/ 1/2 n) x))) (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow x (/ 1 n)) (/ (* x x) n) (- (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (/ (/ 1/2 n) x)) (pow (log x) 4) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n))
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simplify193.0ms (0.7%)

Memory

28.2MiB live, 73.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1529	22634
1	4693	21843
0	8454	19665

Stop Event

1×	iter limit
1×	node limit

Counts

238 → 238

Calls

Call 1

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

rewrite131.0ms (0.5%)

Memory

-6.3MiB live, 39.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	730
0	144	632
1	617	570
0	4658	559

Stop Event

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

Counts

26 → 299

Calls

Call 1

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

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

eval73.0ms (0.3%)

Memory: 11.2MiB live, 56.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 47 372 to 3 463 computations (92.7% saved)

prune59.0ms (0.2%)

Memory

-1.8MiB live, 49.4MiB allocated; 7ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	524	14	538
Fresh	9	19	28
Picked	5	0	5
Done	0	2	2
Total	538	35	573

Accuracy

99.9%

Counts

573 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	11.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	24.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 #s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.3%	(-.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)))
	63.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	23.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	7.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 x n) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	3.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	6.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) x))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	34.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	30.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (.f64 (neg.f64 (log.f64 x)) (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))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) (log.f64 x)) n)))
	21.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (- (pow (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) 2) (pow (log x) 2)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) (.f64 x x)) #s(literal -2 binary64) (fma.f64 (.f64 (neg.f64 (log.f64 x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) n) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64))) (*.f64 x x)) #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x))))) x)) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 4 binary64))))) (*.f64 (+.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) (log1p.f64 x)) (log.f64 x)) n)))
	57.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	38.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
	57.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	28.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(literal 1 binary64)) x)) n))
	51.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) (-.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x))) n))
	57.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))))
	57.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (- (pow (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) 2) (pow (log x) 2)) n) (+ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log.f64 x) (log1p.f64 x)))))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
	30.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (/.f64 #s(literal 1/4 binary64) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (/.f64 #s(literal 1/4 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
	28.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (/.f64 #s(literal 1/4 binary64) n) (.f64 (log.f64 x) (-.f64 (log.f64 x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))))))))
	27.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (/.f64 #s(literal 1/4 binary64) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x))))))
	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) (/.f64 #s(approx (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))))
	35.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (fma.f64 (neg.f64 n) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 n n)))))
	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n))))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n) #s(approx (- (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) #s(literal 1/2 binary64) (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x))) x)))
	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (+ (* (/ -1 n) (/ (neg (log x)) n)) (- (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (/ (/ 1/2 n) x))) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) x)))
	21.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (+ (* (/ -1 n) (/ (neg (log x)) n)) (- (+ (* (/ (/ (- 1 (log x)) n) n) (/ 1/2 x)) (/ 1 n)) (/ (/ 1/2 n) x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
	51.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 x n))) (/.f64 (log.f64 x) n))))

Compiler

Compiled 6 810 to 1 712 computations (74.9% saved)

regimes70.0ms (0.2%)

Memory

-11.8MiB live, 34.2MiB allocated; 2ms collecting garbage

Counts

72 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

19.0ms	n
17.0ms	x
16.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
89.2%	3	`(/.f64 #s(literal 1 binary64) n)`
88.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
89.7%	2	`x`
88.6%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes17.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

49 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
89.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.1%)

Memory

-33.5MiB live, 13.9MiB allocated; 1ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

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

Calls

2 calls:

13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
88.6%	3	`(/.f64 #s(literal 1 binary64) n)`
78.6%	3	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes30.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

41 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

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

Calls

3 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	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
84.3%	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)))`
85.1%	4	`n`
85.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes17.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

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 (-.f64 (log1p.f64 x) (log.f64 x)) n))

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

Calls

2 calls:

8.0ms	(/.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
84.3%	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)))`
69.8%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes32.0ms (0.1%)

Memory

-29.6MiB live, 18.0MiB allocated; 1ms collecting garbage

Counts

32 → 6

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	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
60.2%	4	`(/.f64 #s(literal 1 binary64) n)`
66.9%	6	`x`
59.8%	4	`n`
60.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes9.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

30 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
63.7%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
59.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
59.1%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

4.0ms

(-.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
59.6%	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)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

(-.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 (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n))))

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.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
59.1%	3	`x`
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 14 to 10 computations (28.6% saved)

regimes5.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n))))

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

Calls

3 calls:

3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n

Results

Accuracy	Segments	Branch
56.7%	5	`n`
56.7%	4	`(/.f64 #s(literal 1 binary64) n)`
56.6%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes21.0ms (0.1%)

Memory

-43.5MiB live, 8.5MiB allocated; 10ms collecting garbage

Counts

9 → 4

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n

Results

Accuracy	Segments	Branch
49.1%	3	`n`
51.3%	4	`(/.f64 #s(literal 1 binary64) n)`
48.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
46.2%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.1%	3	`n`
49.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes7.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -18.2b remaining (-41%)

Threshold costs -18.2b (-41%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.7%	1	`x`
30.7%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
30.7%	1	`(/.f64 #s(literal 1 binary64) n)`
30.7%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch33.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	6437712.284665326	57313588644.86266

Samples

11.0ms	60×	1	valid
8.0ms	23×	2	valid
3.0ms	45×	0	valid
2.0ms	25×	0	exit

Compiler

Compiled 592 to 373 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 12.0ms (63.2% of total)

adjust: 3.0ms (15.8% of total)

ival-div: 2.0ms (10.5% of total)

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.0009249339797415615	0.5028529860554772

Samples

8.0ms	45×	1	valid
5.0ms	68×	0	valid
5.0ms	15×	2	valid

Compiler

Compiled 872 to 509 computations (41.6% saved)

Precisions

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

ival-pow: 9.0ms (61.8% of total)

adjust: 2.0ms (13.7% of total)

ival-div: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

ival-sub: 1.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0009249339797415615	0.5028529860554772

Samples

5.0ms	14×	2	valid
4.0ms	23×	1	valid
3.0ms	43×	0	valid

Compiler

Compiled 832 to 501 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 6.0ms (62.6% of total)

adjust: 1.0ms (10.4% of total)

ival-div: 1.0ms (10.4% of total)

ival-sub: 1.0ms (10.4% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	560157.6191217502	112221921566893700.0
0.0ms	-8.516203974186023e-5	-1.39313111488578e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	560157.6191217502	112221921566893700.0
0.0ms	-8.516203974186023e-5	-1.39313111488578e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.984457705058958e-12	1.0
0.0ms	-3.0653917848511014e-8	-2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch126.0ms (0.4%)

Memory

-22.9MiB live, 24.1MiB allocated; 2ms collecting garbage

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
27.0ms	0.5028529860554772	248.8377712625047
27.0ms	1.8716913799983994e-45	1.952507771507296e-44
28.0ms	3.107617605831437e-85	7.102872978196006e-84
13.0ms	2.5821509691937006e-124	3.522132050418012e-124
25.0ms	9.56958459979017e-137	2.479715833714762e-136

Samples

49.0ms	197×	1	valid
30.0ms	72×	2	valid
15.0ms	195×	0	valid
1.0ms	19×	0	exit

Compiler

Compiled 4 638 to 2 470 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-pow: 56.0ms (68.8% of total)

adjust: 11.0ms (13.5% of total)

ival-div: 6.0ms (7.4% of total)

ival-add: 4.0ms (4.9% of total)

ival-sub: 4.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	0.5028529860554772	248.8377712625047
1.0ms	1.8716913799983994e-45	1.952507771507296e-44
1.0ms	9.56958459979017e-137	2.479715833714762e-136

Compiler

Compiled 2 938 to 1 600 computations (45.5% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.9960036108132044e-15
0.0ms	-2.220446049250313e-16	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.9960036108132044e-15
0.0ms	-2.220446049250313e-16	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch36.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5028529860554772	248.8377712625047
34.0ms	5.504174536236403e-216	7.718404227404906e-215

Samples

19.0ms	50×	1	valid
8.0ms	12×	2	valid
3.0ms	34×	0	valid

Compiler

Compiled 1 708 to 809 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 21.0ms (78.5% of total)

adjust: 3.0ms (11.2% of total)

ival-add: 1.0ms (3.7% of total)

ival-div: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5028529860554772	248.8377712625047
1.0ms	5.504174536236403e-216	7.718404227404906e-215

Compiler

Compiled 1 684 to 797 computations (52.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5028529860554772	248.8377712625047

Compiler

Compiled 976 to 461 computations (52.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.6001790476371e+132	6.365185958824914e+137
0.0ms	-3838388.9250523667	-1.479851978706673
0.0ms	-5.784921220213451e+264	-1.2879926883590522e+264

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch32.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-7.764019229596987e-265	-1.7286320105895967e-265
19.0ms	-0.6757432597238252	-2.605259705375888e-7

Samples

17.0ms	224×	0	valid
3.0ms	16×	1	valid

Compiler

Compiled 1 066 to 673 computations (36.9% saved)

Precisions

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

ival-pow: 10.0ms (66.4% of total)

ival-div: 2.0ms (13.3% of total)

adjust: 1.0ms (6.6% of total)

ival-add: 1.0ms (6.6% of total)

ival-sub: 1.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify60.0ms (0.2%)

Memory

-28.5MiB live, 18.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	2289
1	429	2284
2	822	2270
3	2357	2096

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* 1 (log (+ 1 x))) (- (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log x))) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 x n))) (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))))
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(if (<=.f64 x #s(literal 7594266210319049/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 #s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 3453472441069175/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ ( (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n)))) (if (<=.f64 x #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) n))) #s(literal -1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 728143801304855/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (pow (+ ( (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) 2) (pow (log x) 2)) (* (+ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ 1/2 n)) (log (+ 1 x))) (log x)) n)) #s(approx (/ (- (* (/ 1/4 n) (/ (pow (log x) 4) n)) (pow (log x) 2)) (* (+ (* (/ (pow (log x) 2) n) -1/2) (log x)) n)) (/.f64 (neg.f64 (log.f64 x)) n)))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 #s(approx (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs
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derivations565.0ms (2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 293 to 266 computations (88.4% saved)

preprocess82.0ms (0.3%)

Memory: 1.1MiB live, 47.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 612 to 548 computations (88.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze205.0ms (0.7%)

sample22.7s (79.3%)

explain282.0ms (1%)

preprocess177.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify153.0ms (0.5%)

localize109.0ms (0.4%)

series56.0ms (0.2%)

simplify130.0ms (0.5%)

rewrite50.0ms (0.2%)

eval12.0ms (0%)

prune11.0ms (0%)

simplify139.0ms (0.5%)

localize447.0ms (1.6%)

series93.0ms (0.3%)

simplify172.0ms (0.6%)

rewrite126.0ms (0.4%)

eval108.0ms (0.4%)

prune39.0ms (0.1%)

simplify121.0ms (0.4%)

localize466.0ms (1.6%)

series131.0ms (0.5%)

simplify229.0ms (0.8%)

rewrite152.0ms (0.5%)

eval89.0ms (0.3%)

prune41.0ms (0.1%)

simplify129.0ms (0.4%)

localize428.0ms (1.5%)

series104.0ms (0.4%)

simplify193.0ms (0.7%)

rewrite131.0ms (0.5%)

eval73.0ms (0.3%)

prune59.0ms (0.2%)

regimes70.0ms (0.2%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes28.0ms (0.1%)

regimes30.0ms (0.1%)

regimes17.0ms (0.1%)

regimes32.0ms (0.1%)

regimes9.0ms (0%)

regimes14.0ms (0%)

regimes6.0ms (0%)

regimes10.0ms (0%)

regimes5.0ms (0%)

regimes10.0ms (0%)

regimes21.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0%)

bsearch33.0ms (0.1%)

bsearch25.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch126.0ms (0.4%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch32.0ms (0.1%)

simplify60.0ms (0.2%)

derivations565.0ms (2%)

preprocess82.0ms (0.3%)

end0.0ms (0%)

Profiling