Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze316.0ms (1.1%)

Memory

47.9MiB live, 373.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample22.4s (76.5%)

Memory

-167.0MiB live, 19 766.5MiB allocated

Samples

17.2s	7 122×	5	exit
1.9s	2 860×	2	valid
1.5s	2 825×	1	valid
302.0ms	2 571×	0	valid
201.0ms	1 560×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 19.8s

ival-pow: 16.6s (84.1% of total)

adjust: 1.7s (8.6% of total)

ival-div: 565.0ms (2.9% of total)

ival-add: 451.0ms (2.3% of total)

ival-sub: 376.0ms (1.9% of total)

exact: 19.0ms (0.1% of total)

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

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

Bogosity

explain294.0ms (1%)

Memory

-12.2MiB live, 190.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
30	28	(7.226220623331535e-236 1.4088861535075448e-43)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	115	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	58	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	3	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	17
↳	`(/.f64 #s(literal 1 binary64) n)`	overflow	1
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	33
↳	`(/.f64 #s(literal 1 binary64) n)`	overflow	1
`pow.f64`	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	131	0
-	44	81

Precision

0.7485714285714286

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	44	0	81

Precision?

0.7485714285714286

Recall?

1.0

Freqs

test

number	freq
0	81
1	174
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms	230×	1	valid
99.0ms	186×	2	valid
8.0ms	96×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

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

ival-pow: 146.0ms (76.3% of total)

adjust: 23.0ms (12% of total)

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

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

ival-sub: 6.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess15.0ms (0.1%)

Memory

-32.4MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	28	71
2	31	71
0	8	13
0	13	13
1	16	13
0	16	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	16	34
0	16	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (0.4%)

Memory

-10.2MiB live, 87.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.03513419311272992	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	6.674769874299843	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	26.911146578195883	(-.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

56.0ms	115×	1	valid
44.0ms	93×	2	valid
4.0ms	48×	0	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-pow: 67.0ms (73.1% of total)

adjust: 11.0ms (12% of total)

ival-add: 6.0ms (6.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.2%)

Memory

13.6MiB live, 59.2MiB allocated

Counts

5 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
21.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
7.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
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)))
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)))

simplify162.0ms (0.6%)

Memory

25.5MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1453
1	845	1330
2	3085	1283
0	8423	1173

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite144.0ms (0.5%)

Memory

3.4MiB live, 47.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	59	31
2	373	31
3	3875	31
0	8189	27

Stop Event

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

Counts

5 → 295

Calls

Call 1

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

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

eval42.0ms (0.1%)

Memory: -14.0MiB live, 31.5MiB allocated
Compiler: Compiled 9 436 to 1 333 computations (85.9% saved)

prune18.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	343	18	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	19	362

Accuracy

99.8%

Counts

362 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	57.7%	(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	25.3%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
	25.3%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
	25.3%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	53.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.3%	(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
	41.3%	(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
	57.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	14.9%	(-.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)))
	21.3%	(-.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)))
	28.4%	(-.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)))
▶	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.2%	#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))
	41.3%	#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))
▶	45.7%	#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))
▶	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	57.4%	#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 1 235 to 702 computations (43.2% saved)

simplify149.0ms (0.5%)

Memory

-10.2MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	4	(-.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))
cost-diff	7	(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)))
cost-diff	0	(exp.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(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))
cost-diff	0	(/.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)
cost-diff	0	#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))
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	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff	0	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1105
0	118	1105
1	197	1077
2	501	1071
3	2213	1055
0	8533	1052

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

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

localize438.0ms (1.5%)

Memory

-7.3MiB live, 132.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.518997396549752	(/.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))
accuracy	7.632769843095236	(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)))
accuracy	10.535098456774193	(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))
accuracy	26.059637004152965	#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))
accuracy	2.601545986641647	(+.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))
accuracy	2.9921875000000004	(-.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	9.843694958832565	(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))
accuracy	25.730555367801674	#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))
accuracy	2.9921875000000004	(-.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	4.744678030908545	(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	26.911146578195883	(-.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	27.15956403562363	#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	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.03513419311272992	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	14.206914972968516	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	26.911146578195883	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.0	(log.f64 x)
accuracy	0.19140625	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy	18.521623058589466	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy	27.629265725775383	(-.f64 (log1p.f64 x) (log.f64 x))

Samples

203.0ms	114×	2	valid
144.0ms	105×	1	valid
15.0ms	30×	0	exit
3.0ms	7×	0	valid

Compiler

Compiled 939 to 65 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-pow: 72.0ms (23.9% of total)

adjust: 69.0ms (22.9% of total)

ival-div: 53.0ms (17.6% of total)

ival-add: 26.0ms (8.6% of total)

ival-mult: 22.0ms (7.3% of total)

const: 22.0ms (7.3% of total)

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

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

ival-log1p: 8.0ms (2.7% of total)

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

exact: 1.0ms (0.3% of total)

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

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

series168.0ms (0.6%)

Memory

-17.8MiB live, 79.8MiB allocated

Counts

26 → 268

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 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))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (log x) (+ (* (- (/ 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)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
33.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 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))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (log x) (+ (* (- (/ 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)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
23.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 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))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (log x) (+ (* (- (/ 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)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
15.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 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))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (log x) (+ (* (- (/ 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)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))
14.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 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))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (log x) (+ (* (- (/ 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)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x)))

simplify180.0ms (0.6%)

Memory

25.2MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1598	10765
1	5485	10675
0	8321	10292

Stop Event

1×	iter limit
1×	node limit

Counts

268 → 267

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
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Outputs
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(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) n))
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(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
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(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
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(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
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(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
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(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* 1/6 (/ 1 (* n x)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
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(* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2))) (* 11/24 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal -1 binary64) (/.f64 #s(literal 11/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) n) #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 2))) (+ (* -1/2 (pow (log x) 2)) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2)))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 11/24 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 2))) (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/4 (/ 1 x)) 1/6)) (pow x 2))) (+ (* -1/6 (/ (* (pow (log x) 3) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2))) (+ (* 1/24 (/ 1 (pow x 3))) (+ (* 1/6 (pow (log x) 3)) (* 1/2 (/ (* (pow (log x) 2) (- (* 11/24 (/ 1 x)) 1/2)) (pow x 2))))))) n)) (+ (* -1/2 (pow (log x) 2)) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/4 (/ 1 x)) 1/3)) (pow x 2))))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 11/24 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 11/24 (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 2)))) n)) (/ 1/4 (pow x 3))) (* 1/3 (/ 1 (pow x 2)))) n))
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rewrite166.0ms (0.6%)

Memory

20.3MiB live, 65.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	744
0	118	744
1	516	720
2	4688	720
0	8232	717

Stop Event

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

Counts

26 → 343

Calls

Call 1

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

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

eval126.0ms (0.4%)

Memory: -11.9MiB live, 83.8MiB allocated
Compiler: Compiled 62 518 to 4 707 computations (92.5% saved)

prune44.0ms (0.1%)

Memory

1.9MiB live, 48.5MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	756	28	784
Fresh	5	8	13
Picked	3	2	5
Done	0	1	1
Total	764	39	803

Accuracy

99.9%

Counts

803 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	25.3%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
	25.6%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
	25.3%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	53.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 (/.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
	57.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	21.3%	(-.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)))
▶	26.6%	(-.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)))
	28.4%	(-.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)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.3%	#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))
▶	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
	53.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) n))) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	23.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
✓	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
▶	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	41.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (log.f64 x)) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) n) #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) n))) x))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n))))
▶	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
▶	37.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	30.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
	17.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (- (/ 1/24 (pow n 4)) (/ -11/24 (* n n))) (/ (+ (/ 1/4 (* n n)) 1/4) n)) x) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n))) (* x x))) (/ (exp (/ (log x) n)) n))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x))) n (/.f64 (.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) x) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x #s(literal 3 binary64))))) n (/.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 x #s(literal 3 binary64)))) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64)))))
	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x))))

Compiler

Compiled 3 375 to 1 944 computations (42.4% saved)

simplify124.0ms (0.4%)

Memory

-7.7MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	968
0	129	968
1	215	958
2	463	947
3	1613	938
4	6773	938
0	8667	905

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

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

localize515.0ms (1.8%)

Memory

-20.3MiB live, 126.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.101517088264528	(+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy	9.843694958832565	(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
accuracy	25.302953065662006	#s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) n))
accuracy	25.730555367801674	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
accuracy	3.7984627821407466	(/.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)
accuracy	6.811714761520764	(/.f64 (*.f64 x x) n)
accuracy	26.67416915299686	(-.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	31.50000682633868	#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	6.050754415792676	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))
accuracy	8.050670763737969	(.f64 (.f64 x x) n)
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
accuracy	32.44015264796218	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.19140625	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy	32.32427068993107	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.22265625	(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
accuracy	27.31130184109402	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))

Samples

243.0ms	113×	2	valid
179.0ms	132×	1	valid
5.0ms	10×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 670 to 71 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 345.0ms

adjust: 82.0ms (23.8% of total)

ival-pow: 73.0ms (21.1% of total)

ival-div: 61.0ms (17.7% of total)

ival-add: 34.0ms (9.9% of total)

ival-mult: 28.0ms (8.1% of total)

ival-log: 23.0ms (6.7% of total)

const: 15.0ms (4.3% of total)

ival-sub: 12.0ms (3.5% of total)

ival-log1p: 7.0ms (2% of total)

ival-exp: 4.0ms (1.2% of total)

ival-neg: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

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

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

series125.0ms (0.4%)

Memory

45.3MiB live, 91.3MiB allocated

Counts

26 → 167

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
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29.0ms	n	@	0	((log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (+ (* (/ (* 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))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (* (* x x) n) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/ (* x x) n) (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)))
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11.0ms	x	@	0	((log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (+ (* (/ (* 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))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (exp (/ (log x) n)) (* (* x x) n) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/ (* x x) n) (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)))

simplify150.0ms (0.5%)

Memory

-50.1MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	799	4559
1	2630	4318
0	8313	4122

Stop Event

1×	iter limit
1×	node limit

Counts

167 → 167

Calls

Call 1

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

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

rewrite161.0ms (0.5%)

Memory

6.9MiB live, 54.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	601
0	129	597
1	520	587
2	4333	587
0	8759	569

Stop Event

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

Counts

26 → 285

Calls

Call 1

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

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

eval67.0ms (0.2%)

Memory: 6.6MiB live, 51.1MiB allocated
Compiler: Compiled 32 308 to 3 333 computations (89.7% saved)

prune44.0ms (0.1%)

Memory

-11.2MiB live, 39.8MiB allocated

Pruning

47 alts after pruning (41 fresh and 6 done)

	Pruned	Kept	Total
New	469	18	487
Fresh	8	23	31
Picked	2	3	5
Done	0	3	3
Total	479	47	526

Accuracy

99.9%

Counts

526 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	25.3%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
	25.6%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
	25.3%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
✓	53.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 (/.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
	21.3%	(-.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)))
	26.4%	(-.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 #s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) (.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (.f64 x x) n)))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.4%	(-.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)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
	45.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) x (.f64 n (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 n x)) x))
	23.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
▶	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
✓	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
✓	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
▶	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	41.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) n) #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (neg.f64 n))) x))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
▶	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
▶	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n))))
	6.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) n (.f64 #s(literal 1/3 binary64) n)) (.f64 n x)) (.f64 (pow.f64 (.f64 n x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 n x) #s(literal 3 binary64))) x)))
✓	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	35.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) n (.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	14.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) n) (.f64 n #s(literal -1/3 binary64))) (.f64 n (.f64 (.f64 (neg.f64 x) x) n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (.f64 x x))))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 #s(approx (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	17.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))) x)))
	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x)))
▶	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	17.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (exp.f64 (.f64 (log.f64 (.f64 n x)) #s(literal -1 binary64)))))
	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x)))))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)))

Compiler

Compiled 3 786 to 2 230 computations (41.1% saved)

simplify108.0ms (0.4%)

Memory

34.7MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	974
0	148	974
1	251	962
2	549	948
3	1764	903
4	6801	903
0	8418	885

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

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

localize492.0ms (1.7%)

Memory

4.7MiB live, 143.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.191364966604117	(+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy	8.050670763737969	(.f64 (.f64 x x) n)
accuracy	19.46030858151093	#s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n))
accuracy	25.730555367801674	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
accuracy	0.28515625	(/.f64 (neg.f64 (log.f64 x)) n)
accuracy	0.38671875	(*.f64 #s(literal 1/3 binary64) x)
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n))))
accuracy	29.025106409736537	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)))
accuracy	0.2109375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
accuracy	0.22265625	(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
accuracy	33.82614580271576	#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))
accuracy	0.0	(*.f64 n x)
accuracy	0.42539366850945853	(/.f64 #s(literal 1 binary64) (*.f64 n x))
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
accuracy	32.32427068993107	#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
accuracy	0.30306625976844204	(/.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))
accuracy	0.5123825195368841	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	25.654087966933826	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
accuracy	27.391578226168853	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

236.0ms	113×	2	valid
160.0ms	105×	1	valid
23.0ms	37×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 678 to 84 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

adjust: 89.0ms (24.2% of total)

ival-div: 75.0ms (20.4% of total)

ival-pow: 67.0ms (18.2% of total)

ival-add: 29.0ms (7.9% of total)

const: 24.0ms (6.5% of total)

ival-mult: 23.0ms (6.3% of total)

ival-sub: 21.0ms (5.7% of total)

ival-pow2: 10.0ms (2.7% of total)

ival-log: 9.0ms (2.4% of total)

ival-log1p: 9.0ms (2.4% of total)

ival-neg: 7.0ms (1.9% of total)

ival-exp: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series114.0ms (0.4%)

Memory

-17.6MiB live, 80.8MiB allocated

Counts

27 → 166

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	n	@	inf	((/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (+ (/ 1/2 (* (* x x) n)) (/ 1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (log x) 2) (/ (- (/ 1/4 x) 1/3) x) (* 1/3 x) (/ (neg (log x)) n) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (* (* x x) n) (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)))
22.0ms	n	@	-inf	((/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (+ (/ 1/2 (* (* x x) n)) (/ 1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (log x) 2) (/ (- (/ 1/4 x) 1/3) x) (* 1/3 x) (/ (neg (log x)) n) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (* (* x x) n) (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)))
21.0ms	n	@	0	((/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (+ (/ 1/2 (* (* x x) n)) (/ 1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (log x) 2) (/ (- (/ 1/4 x) 1/3) x) (* 1/3 x) (/ (neg (log x)) n) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (* (* x x) n) (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)))
19.0ms	x	@	inf	((/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (+ (/ 1/2 (* (* x x) n)) (/ 1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (log x) 2) (/ (- (/ 1/4 x) 1/3) x) (* 1/3 x) (/ (neg (log x)) n) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (* (* x x) n) (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)))
15.0ms	x	@	-inf	((/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (+ (/ 1/2 (* (* x x) n)) (/ 1/2 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (log x) 2) (/ (- (/ 1/4 x) 1/3) x) (* 1/3 x) (/ (neg (log x)) n) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (* (* x x) n) (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)))

simplify138.0ms (0.5%)

Memory

4.8MiB live, 50.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	885	5284
1	2991	4642
0	8483	4473

Stop Event

1×	iter limit
1×	node limit

Counts

166 → 166

Calls

Call 1

Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(/ 1 (* n x))
(* n x)
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ -1/4 (pow x 4))
(/ (- (* 1/3 x) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))
(/ 1 n)
(+ (* -1/2 (/ x n)) (/ 1 n))
(+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))
(* 1/3 (/ (log x) (* n (pow x 2))))
(/ (+ (* 1/3 (/ (log x) n)) (* x (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))))) (pow x 2))
(/ (+ (* 1/3 (/ (log x) n)) (* x (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (/ (* x (log x)) n))))) (pow x 2))
(/ (+ (* -1/2 (/ (* x (log x)) n)) (* 1/3 (/ (log x) n))) (pow x 2))
(/ (+ (* 1/3 (/ (log x) n)) (* x (+ (* -1/2 (/ (log x) n)) (/ (* x (log x)) n)))) (pow x 2))
(/ 1/2 (* n (pow x 2)))
(/ (+ (* 1/2 x) (* 1/2 (/ 1 n))) (pow x 2))
(pow (log x) 2)
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -1/3 x)) (pow x 2))
(* 1/3 x)
(/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))
(/ (+ (* x (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))
(* n (pow x 2))
(/ (+ 1/3 (* 1/3 (/ (log x) n))) (pow x 2))
(/ (+ 1/3 (+ (* 1/3 (/ (log x) n)) (* x (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n)))))) (pow x 2))
(/ (+ 1/3 (+ (* 1/3 (/ (log x) n)) (* x (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n)))))))) (pow x 2))
(/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n))) x)
(/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))) x)
(/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (* (pow x 3) (log (/ 1 x)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/6 (* n (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (log (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (log (/ 1 x)))) (* 1/4 (/ 1 (* n (log (/ 1 x))))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 3) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))))) x)
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Outputs
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(/ (+ (log x) (+ (* 1/2 (/ 1 x)) (+ (* n (+ 1 (* 1/3 (/ 1 (pow x 2))))) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) x)))) n)
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(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
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(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
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(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) x) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)))) n)
(/ (- (+ 1 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (+ (/ (log x) n) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 2) x)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x)))))))))) (+ (* 1/2 (/ 1 x)) (/ 1/2 (* n (pow x 2))))) n)
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(/ (- (+ 1 (+ (* 1/6 (/ (log x) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (* (pow (log x) 3) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 3) x))) (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (+ (/ (log x) n) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 2) x)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x)))))))))))))) (+ (* 1/2 (/ 1 x)) (/ 1/2 (* n (pow x 2))))) n)
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(+ 1 (* 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (/ 1 (pow x 2))) (+ (/ 1/2 (* n x)) (+ (/ (log x) n) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (log.f64 x) x) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (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)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (+ (log x) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) n))
(/.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (* -1 (* x (- (* 1/3 x) 1/2))) 1) n))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log x)) (* -1 (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) x))) (* 1/2 (/ 1 x))) n))
(/.f64 (-.f64 (neg.f64 (fma.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) (log.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 n))
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) x))) n))
(/.f64 (neg.f64 (fma.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) (log.f64 x))) (neg.f64 n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (log.f64 x)) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) n) #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (log.f64 x)) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (neg.f64 n))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) n) #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/6 (/ (log x) (pow x 2))) (+ (* 1/6 (pow (log x) 3)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) x))))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
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(+ 1 (+ (* -1 (/ (- (+ (* -1 (log x)) (* -1 (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) x))) (* 1/2 (/ 1 x))) n)) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) (log.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 n)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))

rewrite161.0ms (0.5%)

Memory

10.3MiB live, 56.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	603
0	147	583
1	634	574
2	5755	574
0	8702	563

Stop Event

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

Counts

27 → 309

Calls

Call 1

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

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

eval86.0ms (0.3%)

Memory: 0.6MiB live, 52.3MiB allocated
Compiler: Compiled 37 795 to 3 433 computations (90.9% saved)

prune59.0ms (0.2%)

Memory

4.6MiB live, 51.6MiB allocated

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	461	13	474
Fresh	6	30	36
Picked	3	2	5
Done	2	4	6
Total	472	49	521

Accuracy

99.9%

Counts

521 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (exp.f64 (/.f64 (log1p.f64 x) n)))
	25.3%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
	25.6%	(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
	25.3%	(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
	25.6%	(-.f64 (/.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 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))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
	21.3%	(-.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)))
	26.4%	(-.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 #s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) (.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (.f64 x x) n)))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.4%	(-.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)))
✓	37.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
	40.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) 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))
	45.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) x (.f64 n (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(approx (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 n x)) x))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log.f64 x) (log1p.f64 x))))
	60.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log1p.f64 x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
✓	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	31.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 #s(approx (/ (- (/ 1/4 x) 1/3) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	30.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n))
	43.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	41.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 #s(approx (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (/.f64 (log.f64 x) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 #s(approx (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 n x)) (/.f64 (log.f64 x) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(approx (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(approx (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	36.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(approx (+ (+ (+ (* (/ (log x) x) (/ (- (/ 1/3 x) 1/2) n)) (/ (log x) n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* x x)) 1)) (+.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
✓	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n))))
	6.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) n (.f64 #s(literal 1/3 binary64) n)) (.f64 n x)) (.f64 (pow.f64 (.f64 n x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 n x) #s(literal 3 binary64))) x)))
✓	39.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	35.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) n (.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	14.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) n) (.f64 n #s(literal -1/3 binary64))) (.f64 n (.f64 (.f64 (neg.f64 x) x) n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (.f64 x x))))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 #s(approx (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	11.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) (-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n) x)) (pow.f64 (.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n) x) #s(literal 2 binary64))))))
	32.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))) x)))
	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x)))
✓	38.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 n x)))))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)))))
	4.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (+ (* (+ (* (/ (- (* 1/3 x) 1/2) n) x) (/ 1 n)) x) (/ (neg (log x)) n)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) n) #s(literal 1/3 binary64)))))
	59.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)))

Compiler

Compiled 6 431 to 2 080 computations (67.7% saved)

regimes74.0ms (0.3%)

Memory

-9.7MiB live, 36.1MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))

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

Calls

4 calls:

21.0ms	n
18.0ms	x
18.0ms	(/.f64 #s(literal 1 binary64) n)
13.0ms	(-.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
97.8%	3	`(/.f64 #s(literal 1 binary64) n)`
83.7%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
85.5%	2	`x`
97.8%	3	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes35.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

16.0ms	n
15.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
97.8%	3	`(/.f64 #s(literal 1 binary64) n)`
97.8%	3	`n`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes26.0ms (0.1%)

Memory

-33.8MiB live, 13.9MiB allocated

Counts

48 → 3

Calls

Call 1

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

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)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.9%	3	`(/.f64 #s(literal 1 binary64) n)`
95.9%	4	`n`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes13.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

43 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
95.4%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes22.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.9%	4	`n`
87.9%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes11.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
87.6%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes10.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
87.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes28.0ms (0.1%)

Memory

-36.9MiB live, 14.1MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n
8.0ms	x

Results

Accuracy	Segments	Branch
86.1%	4	`n`
64.7%	2	`x`
84.6%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes16.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

28 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.1%	4	`n`
86.1%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes25.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	n
6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	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
64.2%	3	`x`
51.3%	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)))`
68.2%	7	`(/.f64 #s(literal 1 binary64) n)`
68.2%	7	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes8.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
62.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.1%)

Memory

-34.5MiB live, 13.0MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	x
5.0ms	n
5.0ms	(/.f64 #s(literal 1 binary64) n)
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
43.7%	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)))`
47.8%	3	`(/.f64 #s(literal 1 binary64) n)`
47.5%	3	`n`
47.1%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.1%	2	`(/.f64 #s(literal 1 binary64) n)`
43.7%	1	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes4.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
46.1%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes6.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.6%	3	`n`
45.8%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes6.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
42.8%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
43.7%	2	`x`
45.2%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes7.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.1%	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)))`
39.1%	1	`x`
39.1%	1	`n`
39.1%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.8%	1	`n`
38.8%	1	`x`
38.8%	1	`(/.f64 #s(literal 1 binary64) n)`
38.8%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch89.0ms (0.3%)

Memory

-31.8MiB live, 15.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	30.346248076094835	222553530953.25452
41.0ms	-2229623763997.93	-80105.49712063782

Samples

40.0ms	85×	2	valid
22.0ms	99×	1	valid
10.0ms	120×	0	valid

Compiler

Compiled 1 099 to 678 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-pow: 40.0ms (65.1% of total)

adjust: 11.0ms (17.9% of total)

ival-div: 4.0ms (6.5% of total)

ival-sub: 3.0ms (4.9% of total)

ival-add: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	30.346248076094835	222553530953.25452
31.0ms	-2229623763997.93	-80105.49712063782

Samples

19.0ms	82×	1	valid
13.0ms	28×	2	valid
4.0ms	50×	0	valid

Compiler

Compiled 776 to 564 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 21.0ms (66.5% of total)

adjust: 5.0ms (15.8% of total)

ival-div: 2.0ms (6.3% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-1.2483537783855372e-5	-4.485061633030425e-13

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-1.9346429159780742e-5	-1.531196116072386e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.493300985685289e-12	0.03295300287180302
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch133.0ms (0.5%)

Memory

25.3MiB live, 25.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	30.346248076094835	222553530953.25452
58.0ms	6.696382386533022e-156	2.183597472096514e-151
35.0ms	-51689.12525102556	-0.025346548358067343

Samples

53.0ms	193×	1	valid
27.0ms	60×	2	valid
13.0ms	163×	0	valid
9.0ms	106×	0	exit

Compiler

Compiled 1 704 to 1 134 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-pow: 59.0ms (68.2% of total)

adjust: 11.0ms (12.7% of total)

ival-div: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.8% of total)

ival-sub: 4.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch80.0ms (0.3%)

Memory

-32.9MiB live, 13.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1.4137965105060215e+203	5.121394879370076e+205
25.0ms	3.4630949459755737e-6	2.388405854045506e-5

Samples

43.0ms	111×	2	valid
14.0ms	32×	1	valid
7.0ms	81×	0	valid
1.0ms	18×	0	exit

Compiler

Compiled 2 118 to 1 217 computations (42.5% saved)

Precisions

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

ival-pow: 37.0ms (65% of total)

adjust: 9.0ms (15.8% of total)

ival-div: 6.0ms (10.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.4137965105060215e+203	5.121394879370076e+205
1.0ms	3.4630949459755737e-6	2.388405854045506e-5

Samples

20.0ms	50×	2	valid
3.0ms	2×	1	valid
2.0ms	28×	0	valid
0.0ms	5×	0	exit

Compiler

Compiled 2 118 to 1 209 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 15.0ms (65.5% of total)

adjust: 4.0ms (17.5% of total)

ival-div: 1.0ms (4.4% of total)

ival-sub: 1.0ms (4.4% of total)

ival-add: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.4137965105060215e+203	5.121394879370076e+205
11.0ms	3.4630949459755737e-6	2.388405854045506e-5

Samples

3.0ms	10×	2	valid
3.0ms	18×	1	valid
2.0ms	20×	0	valid

Compiler

Compiled 2 112 to 1 209 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow: 5.0ms (71.1% of total)

adjust: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4137965105060215e+203	5.121394879370076e+205

Compiler

Compiled 976 to 605 computations (38% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-39.45310366812601	-1.9346429159780742e-5

Compiler

Compiled 14 to 14 computations (0% saved)

simplify68.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	260	2308
1	423	2276
2	774	2246
3	2042	2240
4	6982	2220

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 n #s(literal -3600000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 n #s(literal 5600000 binary64)) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)))))
(if (<=.f64 n #s(literal -240000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 n #s(literal 7000000 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5902958103587057/590295810358705651712 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4722366482869645/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 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 #s(approx (neg (/ (+ (* (/ (* x x) n) 1/6) (* (+ (* -1/2 x) 1/2) x)) n)) (.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (.f64 x x) n)))) #s(literal 1 binary64)) n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 n #s(literal -10 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 n #s(literal 3381470332640101/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 n #s(literal 1800000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))

Outputs
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derivations1.2s (4.1%)

Memory

-31.9MiB live, 17.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	59	31
2	373	31
3	3875	31
0	8189	27
0	80	601
0	129	597
1	520	587
2	4333	587
0	8759	569
0	66	744
0	118	744
1	516	720
2	4688	720
0	8232	717
0	885	5284
1	2991	4642
0	8483	4473
0	1598	10765
1	5485	10675
0	8321	10292
0	799	4559
1	2630	4318
0	8313	4122
0	263	1453
1	845	1330
2	3085	1283
0	8423	1173

Stop Event

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

Compiler

Compiled 2 306 to 263 computations (88.6% saved)

preprocess113.0ms (0.4%)

Memory: 15.8MiB live, 61.4MiB allocated
Compiler: Compiled 4 638 to 542 computations (88.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze316.0ms (1.1%)

sample22.4s (76.5%)

explain294.0ms (1%)

preprocess15.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize115.0ms (0.4%)

series56.0ms (0.2%)

simplify162.0ms (0.6%)

rewrite144.0ms (0.5%)

eval42.0ms (0.1%)

prune18.0ms (0.1%)

simplify149.0ms (0.5%)

localize438.0ms (1.5%)

series168.0ms (0.6%)

simplify180.0ms (0.6%)

rewrite166.0ms (0.6%)

eval126.0ms (0.4%)

prune44.0ms (0.1%)

simplify124.0ms (0.4%)

localize515.0ms (1.8%)

series125.0ms (0.4%)

simplify150.0ms (0.5%)

rewrite161.0ms (0.5%)

eval67.0ms (0.2%)

prune44.0ms (0.1%)

simplify108.0ms (0.4%)

localize492.0ms (1.7%)

series114.0ms (0.4%)

simplify138.0ms (0.5%)

rewrite161.0ms (0.5%)

eval86.0ms (0.3%)

prune59.0ms (0.2%)

regimes74.0ms (0.3%)

regimes35.0ms (0.1%)

regimes26.0ms (0.1%)

regimes13.0ms (0%)

regimes22.0ms (0.1%)

regimes11.0ms (0%)

regimes10.0ms (0%)

regimes28.0ms (0.1%)

regimes16.0ms (0.1%)

regimes25.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes22.0ms (0.1%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

bsearch89.0ms (0.3%)

bsearch47.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch133.0ms (0.5%)

bsearch80.0ms (0.3%)

bsearch33.0ms (0.1%)

bsearch14.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.2%)

derivations1.2s (4.1%)

preprocess113.0ms (0.4%)

end0.0ms (0%)

Profiling