Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze295.0ms (1.3%)

Memory

6.9MiB live, 216.3MiB 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)

sample15.0s (64%)

Memory

-203.2MiB live, 13 448.1MiB allocated

Samples

9.7s	4 833×	5	exit
1.4s	2 823×	2	valid
1.1s	2 808×	1	valid
645.0ms	2 188×	1	exit
348.0ms	2 625×	0	valid
291.0ms	1 617×	0	exit
12.0ms	6×	4	exit
4.0ms	7×	2	exit
2.0ms	3×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 12.1s

ival-pow: 9.4s (77.2% of total)

adjust: 1.1s (9% of total)

ival-add: 661.0ms (5.4% of total)

ival-div: 614.0ms (5.1% of total)

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

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

exact: 12.0ms (0.1% of total)

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

Bogosity

explain244.0ms (1%)

Memory

17.5MiB live, 411.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
108	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
40	32	(7.41562129144827e-87 -5.25186362782565e-38)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`n`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	108	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	72	1

Confusion

	Predicted +	Predicted -
+	123	0
-	57	76

Precision

0.6833333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	57	1	75

Precision?

0.6795580110497238

Recall?

1.0

Freqs

test

number	freq
0	76
1	180

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms	176×	2	valid
67.0ms	250×	1	valid
7.0ms	86×	0	valid

Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-pow: 85.0ms (61.6% of total)

ival-sub: 20.0ms (14.5% of total)

adjust: 17.0ms (12.3% of total)

ival-div: 10.0ms (7.2% of total)

ival-add: 6.0ms (4.3% of total)

ival-true: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

preprocess27.0ms (0.1%)

Memory

2.4MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory

11.3MiB live, 11.3MiB 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	18	34
2	22	34
3	28	34
4	36	34
5	51	34
6	83	34
7	109	34
8	153	34
9	168	34
10	176	34
0	176	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (0.4%)

Memory

-13.1MiB live, 144.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.009070031620653759	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	9.446190983574768	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy	25.148045297433818	(-.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

38.0ms	88×	2	valid
34.0ms	125×	1	valid
6.0ms	43×	0	valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-pow: 42.0ms (65.8% of total)

adjust: 9.0ms (14.1% of total)

ival-div: 6.0ms (9.4% of total)

ival-add: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.3%)

Memory

0.2MiB live, 119.0MiB 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
31.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
20.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
10.0ms	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)))

simplify175.0ms (0.7%)

Memory

12.0MiB live, 200.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1455
1	761	1349
2	2116	1275
3	7452	1269
0	8737	1165

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite160.0ms (0.7%)

Memory

19.3MiB live, 173.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	407	31
3	4335	31
0	8433	27

Stop Event

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

Counts

5 → 321

Calls

Call 1

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

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

eval68.0ms (0.3%)

Memory: -18.0MiB live, 105.1MiB allocated
Compiler: Compiled 11 308 to 1 474 computations (87% saved)

prune20.0ms (0.1%)

Memory

3.5MiB live, 42.4MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	407	15	422
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	407	16	423

Accuracy

99.8%

Counts

423 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)))
✓	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	60.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	21.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.9%	(-.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)))
▶	41.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
	32.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	35.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	66.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	56.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	53.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 1 041 to 614 computations (41% saved)

simplify146.0ms (0.6%)

Memory

5.2MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 x)
cost-diff	0	(/.f64 (log1p.f64 x) n)
cost-diff	0	(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff	0	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
cost-diff	320	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	320	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	(/.f64 #s(literal 1 binary64) n)
cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
cost-diff	12608	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	407
0	77	407
1	120	407
2	204	407
3	520	407
4	1394	398
5	4592	398
0	8103	389

Stop Event

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

Calls

Call 1

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

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

localize297.0ms (1.3%)

Memory

-6.4MiB live, 298.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.009070031620653759	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	0.009070031620653759	(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy	0.1171875	(/.f64 (log1p.f64 x) n)
accuracy	25.148045297433818	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.27734375	(/.f64 (log.f64 x) n)
accuracy	0.8814319540840803	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	15.374542760036435	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
accuracy	28.21276189443216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
accuracy	2.6818899523716224	(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy	4.64578441017177	(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
accuracy	25.148045297433818	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	31.300884003969223	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) n)
accuracy	0.009070031620653759	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy	18.58695214908471	#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy	25.148045297433818	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	0.5364837890737681	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	20.13536794584166	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
accuracy	23.835202571090516	(-.f64 (log1p.f64 x) (log.f64 x))
accuracy	23.86347847697893	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

135.0ms	154×	1	valid
113.0ms	88×	2	valid
5.0ms	14×	0	valid

Compiler

Compiled 770 to 83 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-pow: 46.0ms (23.8% of total)

ival-div: 30.0ms (15.6% of total)

adjust: 28.0ms (14.5% of total)

ival-add: 17.0ms (8.8% of total)

ival-mult: 16.0ms (8.3% of total)

ival-sub: 14.0ms (7.3% of total)

ival-log: 11.0ms (5.7% of total)

ival-pow2: 10.0ms (5.2% of total)

ival-log1p: 10.0ms (5.2% of total)

ival-exp: 8.0ms (4.1% of total)

ival-expm1: 3.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series403.0ms (1.7%)

Memory

-108.7MiB live, 187.7MiB allocated

Counts

25 → 181

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
287.0ms	n	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
46.0ms	n	@	0	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
27.0ms	n	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
16.0ms	x	@	-inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))
13.0ms	x	@	inf	((+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) n) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (/ 1/2 (* n n)) (/ (log x) n))

simplify181.0ms (0.8%)

Memory

-16.8MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	851	4511
1	2655	4137
2	7709	4124
0	8260	3883

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 180

Calls

Call 1

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

rewrite175.0ms (0.7%)

Memory

23.3MiB live, 180.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	321
0	77	309
1	366	295
2	3064	295
0	8417	295

Stop Event

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

Counts

25 → 713

Calls

Call 1

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

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

eval213.0ms (0.9%)

Memory: 10.1MiB live, 237.1MiB allocated
Compiler: Compiled 48 721 to 4 932 computations (89.9% saved)

prune66.0ms (0.3%)

Memory

2.2MiB live, 135.8MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 169	26	1 195
Fresh	3	7	10
Picked	4	1	5
Done	0	1	1
Total	1 176	35	1 211

Accuracy

99.9%

Counts

1 211 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))))
	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)))
✓	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	60.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
	51.9%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	27.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) n) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.9%	(-.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)))
▶	15.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	30.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓	41.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	19.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
	44.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
	52.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) #s(approx (- (/ 1/2 ( n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
	35.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	42.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
	66.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
▶	66.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
▶	30.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	65.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))))))
	56.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	65.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log 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 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	53.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	30.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (-.f64 x (log.f64 x))) n)))
▶	6.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))

Compiler

Compiled 2 574 to 1 499 computations (41.8% saved)

simplify173.0ms (0.7%)

Memory

-1.4MiB live, 153.0MiB 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 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
cost-diff	128	(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	192	(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
cost-diff	192	(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (log.f64 x) n)
cost-diff	0	(exp.f64 (/.f64 (log.f64 x) n))
cost-diff	0	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
cost-diff	0	(.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x)))
cost-diff	0	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
cost-diff	192	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
cost-diff	640	(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (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 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	769
0	128	754
1	214	754
2	349	740
3	772	720
4	2034	720
5	5939	712
0	8084	694

Stop Event

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

Calls

Call 1

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

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

localize526.0ms (2.3%)

Memory

21.3MiB live, 603.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5364837890737681	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	20.13536794584166	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
accuracy	23.86347847697893	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	38.02828476920389	#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	0.009070031620653759	(exp.f64 (/.f64 (log.f64 x) n))
accuracy	0.27734375	(/.f64 (log.f64 x) n)
accuracy	3.1841288208208223	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy	25.200279952338885	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy	4.620740395553046	(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x)
accuracy	25.148045297433818	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	30.44296778709539	#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))
accuracy	31.300884003969223	#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x)))
accuracy	4.033791427730359	(/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
accuracy	10.771088379871095	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
accuracy	28.21276189443216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
accuracy	32.32359457911556	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
accuracy	0.5364837890737681	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	20.13536794584166	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
accuracy	23.79711836823473	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
accuracy	23.86347847697893	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))

Samples

240.0ms	154×	1	valid
201.0ms	88×	2	valid
7.0ms	14×	0	valid

Compiler

Compiled 1 329 to 156 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-div: 84.0ms (23.1% of total)

ival-pow: 63.0ms (17.3% of total)

ival-mult: 44.0ms (12.1% of total)

adjust: 42.0ms (11.6% of total)

ival-log: 42.0ms (11.6% of total)

ival-add: 24.0ms (6.6% of total)

ival-sub: 15.0ms (4.1% of total)

ival-expm1: 15.0ms (4.1% of total)

ival-log1p: 13.0ms (3.6% of total)

ival-pow2: 9.0ms (2.5% of total)

const: 6.0ms (1.7% of total)

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

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series176.0ms (0.8%)

Memory

13.2MiB live, 293.3MiB allocated

Counts

26 → 209

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* (/ (- (/ 1/2 n) 1/2) n) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (log (/ (+ 1 x) x)) (pow (log x) 2) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (* (/ (- (/ 1/2 n) 1/2) n) x) (- (log (+ 1 x)) (log x)))
28.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* (/ (- (/ 1/2 n) 1/2) n) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (log (/ (+ 1 x) x)) (pow (log x) 2) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (* (/ (- (/ 1/2 n) 1/2) n) x) (- (log (+ 1 x)) (log x)))
26.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* (/ (- (/ 1/2 n) 1/2) n) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (log (/ (+ 1 x) x)) (pow (log x) 2) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (* (/ (- (/ 1/2 n) 1/2) n) x) (- (log (+ 1 x)) (log x)))
22.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* (/ (- (/ 1/2 n) 1/2) n) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (log (/ (+ 1 x) x)) (pow (log x) 2) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (* (/ (- (/ 1/2 n) 1/2) n) x) (- (log (+ 1 x)) (log x)))
21.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (* (* (/ (- (/ 1/2 n) 1/2) n) x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 x) 1/3) x) -1) -1/2) x) -1) -1) (neg x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (log (/ (+ 1 x) x)) (pow (log x) 2) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (* (/ (- (/ 1/2 n) 1/2) n) x) (- (log (+ 1 x)) (log x)))

simplify254.0ms (1.1%)

Memory

-53.6MiB live, 259.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	887	4788
1	2724	4411
0	8035	4145

Stop Event

1×	iter limit
1×	node limit

Counts

209 → 208

Calls

Call 1

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

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

rewrite198.0ms (0.8%)

Memory

11.1MiB live, 242.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	546
0	128	527
1	570	507
2	4797	507
0	8226	490

Stop Event

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

Counts

26 → 525

Calls

Call 1

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

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

eval184.0ms (0.8%)

Memory: 10.0MiB live, 215.4MiB allocated
Compiler: Compiled 44 747 to 4 185 computations (90.6% saved)

prune66.0ms (0.3%)

Memory

8.2MiB live, 120.8MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	806	17	823
Fresh	11	17	28
Picked	5	0	5
Done	0	2	2
Total	822	36	858

Accuracy

99.9%

Counts

858 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))))
	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)))
✓	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	60.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
	51.9%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	27.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) n) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.9%	(-.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)))
	30.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓	41.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
	44.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
▶	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
	52.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) #s(approx (- (/ 1/2 ( n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
▶	66.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) x)) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n x)))
	65.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (.f64 n (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 (log.f64 x) (log1p.f64 x))))))
	56.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
	44.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	53.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
	44.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
	45.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
▶	5.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n)))
	6.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) n) n)))
	3.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) n)))
	6.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) n)) n)))
	6.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) n)))
	6.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x))) n))))
	6.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
	12.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)))))
▶	4.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

Compiler

Compiled 3 010 to 1 773 computations (41.1% saved)

simplify167.0ms (0.7%)

Memory

-12.4MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
cost-diff	448	(*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
cost-diff	704	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n)))))
cost-diff	0	#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
cost-diff	0	(fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff	0	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n)))
cost-diff	384	(/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n)
cost-diff	832	(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x)
cost-diff	0	(/.f64 x n)
cost-diff	0	#s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))
cost-diff	0	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n)))
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
cost-diff	0	(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n)
cost-diff	0	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	905
0	134	889
1	225	884
2	431	862
3	1045	854
4	2506	840
5	6629	833
0	8167	793

Stop Event

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

Calls

Call 1

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

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

localize737.0ms (3.2%)

Memory

-1.3MiB live, 672.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.36166000976844204	(*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
accuracy	0.8814319540840803	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy	15.374542760036435	(fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n)))))
accuracy	28.21276189443216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
accuracy	2.6818899523716224	(fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))
accuracy	15.582653442571859	#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
accuracy	25.148045297433818	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy	31.300884003969223	#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64)))
accuracy	9.665942655802086	(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x)
accuracy	10.771088379871095	(/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n)
accuracy	28.21276189443216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n)))
accuracy	32.32359457911556	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n))
accuracy	0	(/.f64 x n)
accuracy	28.21276189443216	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
accuracy	32.32359457911556	#s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n)))
accuracy	37.12349766754021	#s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))
accuracy	0.9711231447171741	(pow.f64 (log.f64 x) #s(literal 4 binary64))
accuracy	20.13536794584166	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
accuracy	23.86347847697893	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	23.901043558735473	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))

Samples

384.0ms	88×	2	valid
236.0ms	154×	1	valid
7.0ms	14×	0	valid

Compiler

Compiled 1 549 to 159 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 574.0ms

ival-add: 234.0ms (40.8% of total)

adjust: 62.0ms (10.8% of total)

ival-log: 61.0ms (10.6% of total)

ival-pow: 54.0ms (9.4% of total)

ival-mult: 44.0ms (7.7% of total)

ival-div: 42.0ms (7.3% of total)

ival-pow2: 41.0ms (7.1% of total)

ival-sub: 13.0ms (2.3% of total)

ival-log1p: 13.0ms (2.3% of total)

ival-expm1: 6.0ms (1% of total)

ival-neg: 2.0ms (0.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series242.0ms (1%)

Memory

1.8MiB live, 354.8MiB allocated

Counts

25 → 176

Calls

Call 1

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

Outputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (* n (pow (log x) 3)))) (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (* n (log x)))) (/ 1 (* n (pow (log x) 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n (log x))))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (+ 1/3 (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (pow (log x) 3))) (+ (* 1/2 (/ 1 (log x))) (/ 1 (pow (log x) 2))))) (+ (* 1/2 (/ 1 n)) (/ 1 (log x)))))) 1/2))))) (log x))
(* -1 (/ (pow (log x) 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
(/ x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
n
(+ n (* x (+ 1/2 (* -1/2 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 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (log x) n)
(pow x 2)
(* -1 (pow (log x) 4))
(- (pow x 4) (pow (log x) 4))
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4))
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 4)
x
(* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
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(/ (- (+ (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)
(/ (- (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2))))) n)
(/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2))))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2))))) n)
(- (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))
(- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2))))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))
(/ (- (+ x (* -1/2 (pow x 2))) (log x)) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow x 2) n))))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (* 1/2 (/ (pow x 2) n))))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (* x (+ 1 (* -1/2 x))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(* n (* x (- (/ 1 x) 1/2)))
(* n (+ (* 1/2 (/ x n)) (* x (- (/ 1 x) 1/2))))
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(* x (+ 1 (* -1/2 x)))
(+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (+ (* -1 (- (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (- (+ (* -1 x) (* 1/2 (pow x 2))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (* n (* x (- 1/2 (/ 1 x)))))
(* -1 (* n (+ (* -1/2 (/ x n)) (* x (- 1/2 (/ 1 x))))))
(+ 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 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (* (+ (+ (* -1/2 n) (/ n x)) 1/2) x) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (* (neg (log x)) (/ -1 n))) 1))) (* (neg (log x)) (/ -1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 4) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (/ 1/2 (* n n)))
40.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (* (+ (+ (* -1/2 n) (/ n x)) 1/2) x) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (* (neg (log x)) (/ -1 n))) 1))) (* (neg (log x)) (/ -1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 4) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (/ 1/2 (* n n)))
37.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (* (+ (+ (* -1/2 n) (/ n x)) 1/2) x) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (* (neg (log x)) (/ -1 n))) 1))) (* (neg (log x)) (/ -1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 4) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (/ 1/2 (* n n)))
34.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (* (+ (+ (* -1/2 n) (/ n x)) 1/2) x) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (* (neg (log x)) (/ -1 n))) 1))) (* (neg (log x)) (/ -1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 4) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (/ 1/2 (* n n)))
26.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/ x n) (* (+ (+ (* -1/2 n) (/ n x)) 1/2) x) (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (* (neg (log x)) (/ -1 n))) 1))) (* (neg (log x)) (/ -1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (* x x) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 4) (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (/ 1/2 (* n n)))

simplify258.0ms (1.1%)

Memory

16.1MiB live, 220.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1222	17668
1	4069	16555
0	9082	15559

Stop Event

1×	iter limit
1×	node limit

Counts

176 → 174

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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (* n (pow (log x) 3)))) (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (* n (log x)))) (/ 1 (* n (pow (log x) 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n (log x))))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (+ 1/3 (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (pow (log x) 3))) (+ (* 1/2 (/ 1 (log x))) (/ 1 (pow (log x) 2))))) (+ (* 1/2 (/ 1 n)) (/ 1 (log x)))))) 1/2))))) (log x))
(* -1 (/ (pow (log x) 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
(/ x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
n
(+ n (* x (+ 1/2 (* -1/2 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 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (log x) n)
(pow x 2)
(* -1 (pow (log x) 4))
(- (pow x 4) (pow (log x) 4))
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4))
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 4)
x
(* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x))))) (* 4 (pow (log (/ 1 x)) 2))) (* n (* x (pow (log (/ 1 x)) 3))))) (+ (* 1/64 (/ (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (* 4 (pow (log (/ 1 x)) 2))) 2) (* n (* x (pow (log (/ 1 x)) 5))))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))))) (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 x)) 2)) (* 4 (pow (log (/ 1 x)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (* 4 (pow (log (/ 1 x)) 2))) (pow (log (/ 1 x)) 2))))) (* n (* x (pow (log (/ 1 x)) 3)))))) x)
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(- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2))))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))
(/ (- (+ x (* -1/2 (pow x 2))) (log x)) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow x 2) n))))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (+ (* -1/2 (pow x 2)) (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (* 1/2 (/ (pow x 2) n))))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (* x (+ 1 (* -1/2 x))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(* n (* x (- (/ 1 x) 1/2)))
(* n (+ (* 1/2 (/ x n)) (* x (- (/ 1 x) 1/2))))
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(* x (+ 1 (* -1/2 x)))
(+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (+ (* -1 (- (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (- (+ (* -1 x) (* 1/2 (pow x 2))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (* n (* x (- 1/2 (/ 1 x)))))
(* -1 (* n (+ (* -1/2 (/ x n)) (* x (- 1/2 (/ 1 x))))))
(+ 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 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) 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)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (* n (pow (log x) 3)))) (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ 1 (* n (log x)))) (/ 1 (* n (pow (log x) 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n (log x))))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (log.f64 x)) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) x) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (+ 1/3 (+ (* -1 (/ (+ (log x) (* -1/2 (pow (log x) 2))) (pow (log x) 3))) (+ (* 1/2 (/ 1 (log x))) (/ 1 (pow (log x) 2))))) (+ (* 1/2 (/ 1 n)) (/ 1 (log x)))))) 1/2))))) (log x))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 x))) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))))
(* -1 (/ (pow (log x) 2) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 n))
(+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))
(-.f64 (/.f64 (*.f64 x x) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x n)) (*.f64 x x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 n)))
(+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) (/.f64 x n) (/.f64 #s(literal -1 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 n)))
(/ x n)
(/.f64 x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)
n
(+ n (* x (+ 1/2 (* -1/2 n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n)
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(pow x 2)
(*.f64 x x)
(* -1 (pow (log x) 4))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(- (pow x 4) (pow (log x) 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/6 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
x
(* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 (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))) x) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64))) (.f64 (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))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
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(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (.f64 (/.f64 (.f64 x x) n) #s(literal 1/2 binary64)))) (log.f64 x)) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))) n)
(/ (* x (+ 1 (* -1/2 x))) n)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (.f64 (/.f64 (.f64 x x) n) #s(literal 1/2 binary64))) n)
(* n (* x (- (/ 1 x) 1/2)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) n)
(* n (+ (* 1/2 (/ x n)) (* x (- (/ 1 x) 1/2))))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x (.f64 (/.f64 x n) #s(literal 1/2 binary64))) n)
(+ 1 (/ (log (+ 1 x)) n))
(+.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 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(+.f64 (fma.f64 (.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n)) #s(literal 1 binary64))
(/ (+ 1 (* -1/2 x)) n)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (.f64 (/.f64 (.f64 x x) n) #s(literal 1/2 binary64)))
(* -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 (+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 n)) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (+ (* -1 (- (/ (pow (log (+ 1 x)) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))) (/ (pow (log x) 4) (* (+ (log x) (log (+ 1 x))) (+ (pow (log x) 2) (pow (log (+ 1 x)) 2)))))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (* 1/2 (pow x 2))) (* -1 (log x))) n))
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n))) x) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n))) x) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* 1/2 (pow x 2)))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n))) x) (log.f64 x)) (neg.f64 n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x) (.f64 (/.f64 (.f64 x x) n) #s(literal -1/2 binary64))) (neg.f64 n))
(* -1 (* n (* x (- 1/2 (/ 1 x)))))
(.f64 (neg.f64 n) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(* -1 (* n (+ (* -1/2 (/ x n)) (* x (- 1/2 (/ 1 x))))))
(.f64 (neg.f64 n) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x (.f64 #s(literal -1/2 binary64) (/.f64 x n))))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 n)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) n))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (.f64 (/.f64 (.f64 x x) n) #s(literal -1/2 binary64))) n))
(* -1 (/ (- (* 1/2 x) 1) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n))

rewrite212.0ms (0.9%)

Memory

17.5MiB live, 208.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	696
0	134	682
1	593	599
2	5426	599
0	8234	588

Stop Event

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

Counts

25 → 443

Calls

Call 1

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

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

eval197.0ms (0.8%)

Memory: -6.3MiB live, 297.5MiB allocated
Compiler: Compiled 51 762 to 3 699 computations (92.9% saved)

prune96.0ms (0.4%)

Memory

0.1MiB live, 178.9MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	629	8	637
Fresh	2	27	29
Picked	2	3	5
Done	0	2	2
Total	633	40	673

Accuracy

99.9%

Counts

673 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))))
	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)))
✓	55.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	60.7%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
	51.9%	(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	27.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) n) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	32.9%	(-.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)))
	30.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓	41.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
	44.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
✓	45.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
	52.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) #s(approx (- (/ 1/2 ( n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
	41.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) x)) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
	43.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n x)))
	65.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (.f64 n (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 (log.f64 x) (log1p.f64 x))))))
	56.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
	44.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	53.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
	44.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
	47.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
	45.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
	6.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) n) n)))
	3.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) n)))
	6.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) n)) n)))
	6.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) n)))
	6.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) (*.f64 n n))))
	5.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n)))))
	7.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))
	6.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
	12.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)))))
✓	4.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
	4.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 #s(literal 1 binary64) (/.f64 n x)))))
	4.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 x)))))

Compiler

Compiled 4 875 to 1 528 computations (68.7% saved)

regimes83.0ms (0.4%)

Memory

-23.5MiB live, 172.6MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 #s(literal 1 binary64) (/.f64 n x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (*.f64 n x)) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(approx (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 n x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(approx (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) (.f64 (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 n x)) #s(literal 1/2 binary64)) x) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (-.f64 x (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (* (+ (log x) (log (+ 1 x))) (+ (* (log x) (log x)) (pow (log (+ 1 x)) 2))))) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) n) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) n) (.f64 (.f64 (neg.f64 n) n) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 n) n) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) x)) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) #s(approx (- (/ 1/2 ( n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log x))) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) n) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (- (log (+ 1 x)) (log 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 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (.f64 n (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 (log.f64 x) (log1p.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))) (.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (-.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))

Outputs

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

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

Calls

4 calls:

23.0ms	x
20.0ms	n
19.0ms	(/.f64 #s(literal 1 binary64) n)
14.0ms	(-.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
91.7%	2	`x`
89.6%	4	`n`
86.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
89.0%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes15.0ms (0.1%)

Memory

22.5MiB live, 60.8MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
91.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes47.0ms (0.2%)

Memory

3.7MiB live, 127.7MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

13.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	n
11.0ms	x
8.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
84.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
86.8%	4	`n`
86.8%	3	`(/.f64 #s(literal 1 binary64) n)`
69.6%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.1%)

Memory

-14.5MiB live, 24.6MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
85.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes278.0ms (1.2%)

Memory

0.0MiB live, 39.3MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

2 calls:

267.0ms	n
9.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
86.8%	5	`n`
86.8%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes38.0ms (0.2%)

Memory

-9.7MiB live, 29.6MiB allocated

Counts

24 → 4

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
80.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
85.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes33.0ms (0.1%)

Memory

-20.6MiB live, 32.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	n
6.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
80.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
75.8%	6	`n`
75.8%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes7.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
80.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes30.0ms (0.1%)

Memory

-5.7MiB live, 33.6MiB allocated

Counts

20 → 6

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	n
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
67.1%	6	`n`
57.8%	2	`x`
67.8%	6	`(/.f64 #s(literal 1 binary64) n)`
55.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes19.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	n
6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	x

Results

Accuracy	Segments	Branch
54.5%	2	`x`
59.6%	5	`n`
59.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes95.0ms (0.4%)

Memory

-21.3MiB live, 17.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

79.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	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
47.5%	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)))`
45.3%	1	`x`
45.3%	1	`n`
47.5%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	x
3.0ms	(-.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
45.3%	1	`x`
45.3%	1	`(/.f64 #s(literal 1 binary64) n)`
45.3%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes8.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.3%	1	`n`
4.3%	1	`x`
4.3%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
4.3%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch33.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.3096607252544255	394.94565442735205

Samples

12.0ms	38×	2	valid
7.0ms	40×	1	valid
4.0ms	50×	0	valid
1.0ms	9×	0	exit

Compiler

Compiled 520 to 333 computations (36% saved)

Precisions

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

ival-pow: 14.0ms (69.5% of total)

adjust: 3.0ms (14.9% of total)

ival-div: 2.0ms (9.9% of total)

ival-add: 1.0ms (5% of total)

ival-sub: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Memory

-37.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	0.3096607252544255	394.94565442735205

Compiler

Compiled 384 to 253 computations (34.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	-6.084645469391136e-157	-1.2421916329669431e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	-6.084645469391136e-157	-1.2421916329669431e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.105476676153189e+144	1.3090318423404268e+163
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	-6.084645469391136e-157	-1.2421916329669431e-173

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.105476676153189e+144	1.3090318423404268e+163
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	-3.507023391543099e-77	-6.204828651495492e-79

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5309801530229148	1.0
0.0ms	-9878.807718550155	-2.7533531010703882e-14

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5309801530229148	1.0
0.0ms	-9878.807718550155	-2.7533531010703882e-14

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	2.105476676153189e+144	1.3090318423404268e+163
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	1.0797703471160457e-79	3.2027471669142433e-63
0.0ms	-1.9545884812456326e-302	-4.835573916330306e-305
0.0ms	-6.73462265181316e-17	-3.0031735573465826e-18

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.105476676153189e+144	1.3090318423404268e+163
0.0ms	1.041799205280668e-30	0.001775210883053373
0.0ms	-6.73462265181316e-17	-3.0031735573465826e-18

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5309801530229148	1.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify31.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1519
1	178	1519
2	201	1519
3	213	1519
4	220	1519
5	221	1519

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (.f64 x x) #s(approx (- (/ 1/2 ( n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -5000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 298915252411891/562949953421312 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -5000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 298915252411891/562949953421312 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) x (-.f64 x (log.f64 x))) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) ( n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n))))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000000000000094981729434604421429634631711314728749893859954680949718168082290272710512864333176517383876535360464303173652679560326293749760 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 298915252411891/562949953421312 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

Outputs
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(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7729075046034517/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (/ (+ 1 x) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 298915252411891/562949953421312 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (* (* x x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (/ x n) (- (exp (/ (log x) n)) 1))) #s(approx (/ (/ (+ (* (* (+ (* -1/2 x) 1) n) x) (* (* 1/2 x) x)) n) n) (/.f64 x n))))

soundness1.3s (5.6%)

Memory

-3.0MiB live, 677.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	4511
1	2655	4137
2	7709	4124
0	8260	3883
0	42	321
0	77	309
1	366	295
2	3064	295
0	8417	295
0	887	4788
1	2724	4411
0	8035	4145
0	263	1455
1	761	1349
2	2116	1275
3	7452	1269
0	8737	1165
0	82	546
0	128	527
1	570	507
2	4797	507
0	8226	490

Stop Event

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

Compiler

Compiled 2 335 to 735 computations (68.5% saved)

preprocess188.0ms (0.8%)

Memory: -28.5MiB live, 130.0MiB allocated
Compiler: Compiled 3 064 to 330 computations (89.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

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

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

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

start0.0ms (0%)

analyze295.0ms (1.3%)

sample15.0s (64%)

explain244.0ms (1%)

preprocess27.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize87.0ms (0.4%)

series66.0ms (0.3%)

simplify175.0ms (0.7%)

rewrite160.0ms (0.7%)

eval68.0ms (0.3%)

prune20.0ms (0.1%)

simplify146.0ms (0.6%)

localize297.0ms (1.3%)

series403.0ms (1.7%)

simplify181.0ms (0.8%)

rewrite175.0ms (0.7%)

eval213.0ms (0.9%)

prune66.0ms (0.3%)

simplify173.0ms (0.7%)

localize526.0ms (2.3%)

series176.0ms (0.8%)

simplify254.0ms (1.1%)

rewrite198.0ms (0.8%)

eval184.0ms (0.8%)

prune66.0ms (0.3%)

simplify167.0ms (0.7%)

localize737.0ms (3.2%)

series242.0ms (1%)

simplify258.0ms (1.1%)

rewrite212.0ms (0.9%)

eval197.0ms (0.8%)

prune96.0ms (0.4%)

regimes83.0ms (0.4%)

regimes15.0ms (0.1%)

regimes47.0ms (0.2%)

regimes12.0ms (0.1%)

regimes278.0ms (1.2%)

regimes38.0ms (0.2%)

regimes33.0ms (0.1%)

regimes7.0ms (0%)

regimes30.0ms (0.1%)

regimes19.0ms (0.1%)

regimes95.0ms (0.4%)

regimes10.0ms (0%)

regimes8.0ms (0%)

bsearch33.0ms (0.1%)

bsearch54.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.1%)

soundness1.3s (5.6%)

preprocess188.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	75
1	43	69
2	93	67
3	158	67
4	249	67
5	366	67
6	443	67
7	484	67
8	526	67
9	541	67
10	549	67
0	8	13
0	13	13
1	18	13
2	22	13
3	28	13
4	36	13
5	51	13
6	83	13
7	109	13
8	153	13
9	168	13
10	176	13
0	176	13

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