Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze210.0ms (1.3%)

Memory

25.3MiB live, 308.6MiB allocated; 29ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample12.9s (80.3%)

Memory

82.7MiB live, 11 900.4MiB allocated; 1.4s collecting garbage

Samples

9.1s	6 068×	5	exit
1.4s	2 935×	2	valid
897.0ms	2 751×	1	valid
205.0ms	1 537×	0	exit
198.0ms	2 570×	0	valid
132.0ms	1 093×	1	exit
40.0ms	8×	4	exit
7.0ms	2×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 11.2s

ival-pow: 9.2s (82.1% of total)

adjust: 1.1s (9.9% of total)

ival-sub!: 424.0ms (3.8% of total)

ival-div!: 295.0ms (2.6% of total)

ival-add!: 175.0ms (1.6% of total)

Bogosity

explain243.0ms (1.5%)

Memory

5.6MiB live, 256.6MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
39	24	(1.9648325584202963e-158 1.1897843274573327e-19)	-	`(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	118	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	63	0

Confusion

	Predicted +	Predicted -
+	137	0
-	44	75

Precision

0.7569060773480663

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	0
-	44	0	75

Precision?

0.7569060773480663

Recall?

1.0

Freqs

test

number	freq
0	75
1	181

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms	204×	2	valid
70.0ms	214×	1	valid
7.0ms	94×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-pow: 114.0ms (80.1% of total)

adjust: 16.0ms (11.2% of total)

ival-div!: 7.0ms (4.9% of total)

ival-add!: 3.0ms (2.1% of total)

ival-sub!: 3.0ms (2.1% of total)

preprocess61.0ms (0.4%)

Memory

-31.8MiB live, 19.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	31	84
2	37	84
3	61	84
4	144	84
5	950	82
6	5326	82

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(-.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 26 to 16 computations (38.5% saved)

series60.0ms (0.4%)

Memory

12.5MiB live, 103.5MiB allocated; 7ms collecting garbage

Counts

8 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
19.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
11.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
5.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite162.0ms (1%)

Memory

4.7MiB live, 195.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2278
0	333	2030
1	2123	2017
0	8169	1898

Stop Event

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

Counts

63 → 102

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

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

eval13.0ms (0.1%)

Memory: 16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 519 to 510 computations (85.5% saved)

prune12.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	101	13	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	14	115

Accuracy

99.3%

Counts

115 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
✓	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	27.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
	16.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	14.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	20.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	29.0%	(-.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)))
	35.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	32.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 n n) (.f64 n n)))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 n n) n))) (.f64 (.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
▶	68.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))

Compiler

Compiled 1 037 to 554 computations (46.6% saved)

series240.0ms (1.5%)

Memory

-28.8MiB live, 200.4MiB allocated; 32ms collecting garbage

Counts

49 → 348

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* -1 (/ x n)) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 x)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) 1/3))) (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1 x) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) 1/3))) (* 1/2 (/ 1 n)))) 1)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) n))))
#s(approx (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) #s(hole binary64 (- (* -1/2 (/ (pow x 2) n)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) #s(hole binary64 (- (* (pow x 2) (- (* 1/2 (/ x n)) (* 1/2 (/ 1 n)))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) #s(hole binary64 (- (* (pow x 2) (- (* x (+ (* -11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))))
#s(approx (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))))
#s(approx (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (* -1/2 (pow (log x) 2))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2)))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* -1/2 x))))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (* 11/24 x) 1/2)))))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (* -1 (pow (log x) 2))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (- (pow x 2) (pow (log x) 2))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))))
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log x) 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (neg (log (+ 1 x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (log (+ 1 x))) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (neg (log (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/3 x))) 1))))
#s(approx (neg (log (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (log x) n)))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow (/ (log x) n) 3) #s(hole binary64 (/ (pow (log x) 3) (pow n 3))))
#s(approx (/ (log x) n) #s(hole binary64 (/ (log x) n)))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
#s(approx (/ (* (log x) (log x)) (* n n)) #s(hole binary64 (/ (pow (log x) 2) (pow n 2))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
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#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (* 1/6 (/ (pow (log x) 3) (pow n 3)))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (/ (+ (* 1/6 (pow (log x) 3)) (* 1/2 (* n (pow (log x) 2)))) (pow n 3))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (/ (+ (* 1/6 (pow (log x) 3)) (* n (+ (* 1/2 (pow (log x) 2)) (* n (log x))))) (pow n 3))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n)))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (log (+ 1 x)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1 (log (+ 1 x)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x)))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 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)))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (/ (- (log (+ 1 x)) (* 1/2 (log (pow x 2)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (* 1/8 (/ (pow (log (pow x 2)) 2) n)) (* 1/2 (log (pow x 2))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (* 1/48 (/ (pow (log (pow x 2)) 3) (pow n 2))) (+ (* 1/8 (/ (pow (log (pow x 2)) 2) n)) (* 1/2 (log (pow x 2)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (* 1/384 (/ (pow (log (pow x 2)) 4) (pow n 3))) (+ (* 1/48 (/ (pow (log (pow x 2)) 3) (pow n 2))) (+ (* 1/8 (/ (pow (log (pow x 2)) 2) n)) (* 1/2 (log (pow x 2))))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 1))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (* 1/2 (/ (log (pow x 2)) n)))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (+ (* 1/8 (/ (pow (log (pow x 2)) 2) (pow n 2))) (* 1/2 (/ (log (pow x 2)) n))))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (+ (* 1/48 (/ (pow (log (pow x 2)) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log (pow x 2)) 2) (pow n 2))) (* 1/2 (/ (log (pow x 2)) n)))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (/ (log x) n)))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (/ (log x) n)))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -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))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/48 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/384 (pow (log (pow x 2)) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/48 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (log (pow x 2))) (* -1/8 (/ (pow (log (pow x 2)) 2) n))) n)))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log (pow x 2)) 3) n)) (* 1/8 (pow (log (pow x 2)) 2))) n)) (* -1/2 (log (pow x 2)))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow (* x x) (/ (/ 1 n) 2)) (* x x) (/ (/ 1 n) 2) 2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)) (* n n))
42.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow (* x x) (/ (/ 1 n) 2)) (* x x) (/ (/ 1 n) 2) 2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)) (* n n))
38.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow (* x x) (/ (/ 1 n) 2)) (* x x) (/ (/ 1 n) 2) 2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)) (* n n))
31.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow (* x x) (/ (/ 1 n) 2)) (* x x) (/ (/ 1 n) 2) 2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)) (* n n))
29.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow (* x x) (/ (/ 1 n) 2)) (* x x) (/ (/ 1 n) 2) 2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)) (* n n))

rewrite204.0ms (1.3%)

Memory

10.4MiB live, 303.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1587	15250
0	1666	14114
0	8239	13102

Stop Event

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

Counts

397 → 489

Calls

Call 1

Inputs
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#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/48 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/384 (pow (log (pow x 2)) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/48 (pow (log (pow x 2)) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/8 (pow (log (pow x 2)) 2))) n))) (* -1/2 (log (pow x 2)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (log (pow x 2))) (* -1/8 (/ (pow (log (pow x 2)) 2) n))) n)))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log (pow x 2)) 3) n)) (* 1/8 (pow (log (pow x 2)) 2))) n)) (* -1/2 (log (pow x 2)))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))
(/.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))) (neg.f64 n))
(/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)
(+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))) (.f64 (log.f64 x) (log.f64 x))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (neg.f64 n))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
#s(literal 1/2 binary64)
(*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))))
(fma.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x)))
(+.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 x)
n
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))))
(/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) (neg.f64 (*.f64 n x)))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(+.f64 (cosh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (sinh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 n x)
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
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#s(approx n n)
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))) n))) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/48 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))) n))) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow (* x x) (/ (/ 1 n) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (.f64 #s(literal -1/384 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 4 binary64)))) n) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal -1/48 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))) n))) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))) n))) n))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) n) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))) n) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x)))) n))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))))
#s(approx (pow (* x x) (/ (/ 1 n) 2)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (log.f64 x)))) n))) n))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))))
#s(approx (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (log.f64 x)))) n))) n))))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))
#s(approx (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (log.f64 x)))) n))) n)))
#s(approx (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))

eval84.0ms (0.5%)

Memory: 7.1MiB live, 96.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 35 244 to 4 020 computations (88.6% saved)

prune41.0ms (0.3%)

Memory

-12.6MiB live, 41.0MiB allocated; 7ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	641	29	670
Fresh	4	4	8
Picked	5	0	5
Done	0	1	1
Total	650	34	684

Accuracy

99.7%

Counts

684 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) #s(approx (/ (/ 1 n) 2) (/.f64 #s(literal 1/2 binary64) n))))
✓	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(literal 1 binary64)))
	18.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))))
▶	29.0%	(-.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)))
	35.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
▶	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) x)) n))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	28.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
	31.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
▶	40.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	31.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 11/12 binary64) (.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 x)))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 x x)))))) x)) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
▶	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)))) (.f64 n (.f64 x x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (.f64 n x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal 11/12 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 n (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n) (*.f64 n x))))) x))))
▶	28.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (.f64 n n) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (.f64 n x)))) n)))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	42.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))

Compiler

Compiled 2 907 to 1 620 computations (44.3% saved)

series131.0ms (0.8%)

Memory

17.1MiB live, 251.9MiB allocated; 15ms collecting garbage

Counts

35 → 229

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) 1/2 (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (* n x)) (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (cosh (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (sinh (/ (neg (log x)) n)))
28.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) 1/2 (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (* n x)) (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (cosh (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (sinh (/ (neg (log x)) n)))
20.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) 1/2 (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (* n x)) (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (cosh (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (sinh (/ (neg (log x)) n)))
17.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) 1/2 (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (* n x)) (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (cosh (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (sinh (/ (neg (log x)) n)))
16.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) 1/2 (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (* n x)) (- (cosh (/ (neg (log x)) n)) (sinh (/ (neg (log x)) n))) (cosh (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) (sinh (/ (neg (log x)) n)))

rewrite174.0ms (1.1%)

Memory

-10.1MiB live, 186.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1264	10702
0	1303	8952
0	8612	8358

Stop Event

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

Counts

264 → 325

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n)))
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(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n))
(neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(/.f64 (neg.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (neg.f64 n))
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#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
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(-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
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(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
n
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(/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) n) x)
(/.f64 (neg.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64))) (neg.f64 (*.f64 n x)))
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64))
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(*.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x)))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 n x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))))))
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(+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) n)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 n x)) #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)))
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(/.f64 (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (.f64 (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))))) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))))
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(cosh.f64 (neg.f64 (/.f64 (log.f64 x) n)))
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#s(approx n n)
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#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))
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#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
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#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
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#s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64))
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#s(approx (cosh (/ (neg (log x)) n)) #s(literal 1 binary64))
#s(approx (cosh (/ (neg (log x)) n)) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (/ (neg (log x)) n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 n n) n)))) #s(literal 1 binary64)))
#s(approx (cosh (/ (neg (log x)) n)) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 n n) (.f64 n n))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (*.f64 n n) n))))) #s(literal 1 binary64)))
#s(approx (sinh (/ (neg (log x)) n)) (*.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) n) #s(literal 1/2 binary64)))
#s(approx (sinh (/ (neg (log x)) n)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n))) n))
#s(approx (sinh (/ (neg (log x)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (.f64 n n)) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) #s(literal 1/2 binary64))) n))
#s(approx (sinh (/ (neg (log x)) n)) (/.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (.f64 n n)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64) (.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x))) (log.f64 x))))) (.f64 (.f64 n n) n)) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (.f64 (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n x)) #s(literal -1/6 binary64) (.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) (.f64 n x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) x) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) (.f64 n x)))) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)))) (.f64 n x)) #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) x) (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) x))))) (.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (.f64 n x)) #s(literal 1/2 binary64))) n))) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (fma.f64 (/.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) n) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))))) n)) (*.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) #s(literal 1/2 binary64))) n)) #s(literal 1 binary64)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)))))) n)) (*.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) #s(literal 1/2 binary64))) n)) #s(literal 1 binary64)))
#s(approx (cosh (/ (neg (log x)) n)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)))) (.f64 (.f64 n n) n)) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (cosh (/ (neg (log x)) n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/6 binary64)))) n) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))) (.f64 (.f64 n n) n)))) #s(literal 1 binary64)))
#s(approx (sinh (/ (neg (log x)) n)) (*.f64 (/.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) n) #s(literal -1/2 binary64)))
#s(approx (sinh (/ (neg (log x)) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n) #s(literal -1/2 binary64))) n)))
#s(approx (sinh (/ (neg (log x)) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) n))) n)))
#s(approx (sinh (/ (neg (log x)) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 (neg.f64 (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64))))) n) #s(literal -1/2 binary64) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) n))) n))) n)))

eval48.0ms (0.3%)

Memory: 1.5MiB live, 44.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 18 577 to 2 049 computations (89% saved)

prune39.0ms (0.2%)

Memory

-10.5MiB live, 34.6MiB allocated; 5ms collecting garbage

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	353	23	376
Fresh	17	11	28
Picked	2	3	5
Done	0	1	1
Total	372	38	410

Accuracy

99.7%

Counts

410 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) #s(approx (/ (/ 1 n) 2) (/.f64 #s(literal 1/2 binary64) n))))
✓	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(literal 1 binary64)))
✓	29.0%	(-.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)))
	9.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	35.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(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))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
▶	61.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) n) x))
	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	51.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) #s(approx (sinh (/ (neg (log x)) n)) (.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) n) #s(literal 1/2 binary64)))) (.f64 n x)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) x))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
▶	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
	31.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
▶	48.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (.f64 n x)))
✓	40.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
✓	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	29.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) n)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(approx (log (/ x (+ 1 x))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x)))) n)))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(approx (log (/ x (+ 1 x))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))) n)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
▶	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))))
	28.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	42.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (.f64 (.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64))) (*.f64 n n))))
▶	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))

Compiler

Compiled 2 818 to 1 636 computations (41.9% saved)

series161.0ms (1%)

Memory

24.5MiB live, 172.8MiB allocated; 16ms collecting garbage

Counts

42 → 209

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/ (- (/ x n) (/ 1/2 n)) (* x x)) (- (/ x n) (/ 1/2 n)) (/ x n) (/ 1/2 n) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/ (neg (neg (log x))) (* n n)) (neg (neg (log x))) (neg (log x)) (* n n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2 (* n x))
26.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/ (- (/ x n) (/ 1/2 n)) (* x x)) (- (/ x n) (/ 1/2 n)) (/ x n) (/ 1/2 n) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/ (neg (neg (log x))) (* n n)) (neg (neg (log x))) (neg (log x)) (* n n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2 (* n x))
26.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/ (- (/ x n) (/ 1/2 n)) (* x x)) (- (/ x n) (/ 1/2 n)) (/ x n) (/ 1/2 n) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/ (neg (neg (log x))) (* n n)) (neg (neg (log x))) (neg (log x)) (* n n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2 (* n x))
26.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/ (- (/ x n) (/ 1/2 n)) (* x x)) (- (/ x n) (/ 1/2 n)) (/ x n) (/ 1/2 n) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/ (neg (neg (log x))) (* n n)) (neg (neg (log x))) (neg (log x)) (* n n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2 (* n x))
19.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/ (- (/ x n) (/ 1/2 n)) (* x x)) (- (/ x n) (/ 1/2 n)) (/ x n) (/ 1/2 n) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/ (neg (neg (log x))) (* n n)) (neg (neg (log x))) (neg (log x)) (* n n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2 (* n x))

rewrite171.0ms (1.1%)

Memory

3.0MiB live, 101.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	873	7193
0	918	6293
1	5165	6288
0	8237	6007

Stop Event

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

Counts

251 → 403

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (neg.f64 x))
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(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
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(/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (neg.f64 n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 x) n))
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(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) (neg.f64 n))))
(exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) (neg.f64 n))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
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(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(log.f64 x)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
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(/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) n)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) n))))
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) n)))
(/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) n) x) x)
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(/.f64 (neg.f64 (-.f64 x #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 x x) n)))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) n))
(/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) n) (*.f64 x x))
(-.f64 (/.f64 x (.f64 (.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) n)))
(-.f64 (/.f64 (/.f64 x n) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 x x)))
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(/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 n n) n)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 n n) n))) (fma.f64 (/.f64 x n) (/.f64 x n) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1/2 binary64))) (neg.f64 n))
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(/.f64 (-.f64 x #s(literal 1/2 binary64)) n)
(-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n))
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#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
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(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
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(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (.f64 (.f64 n n) x)))
(+.f64 (/.f64 (log.f64 x) (.f64 (.f64 n n) x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
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#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 1 binary64)) n)))
#s(approx (/ (/ (exp (/ (log x) n)) n) x) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (/ (exp (/ (log x) n)) n) x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (/ (exp (/ (log x) n)) n) x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n x)) #s(literal -1/6 binary64) (.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) (neg.f64 n)) #s(literal 1 binary64)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal -1/2 binary64)) (log.f64 x)) n)) #s(literal 1 binary64)))
#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal -1/2 binary64)) (log.f64 x)) n)))
#s(approx (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n) (neg.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64) (log.f64 x)) n)))

eval50.0ms (0.3%)

Memory: -6.0MiB live, 39.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 22 388 to 2 534 computations (88.7% saved)

prune56.0ms (0.3%)

Memory

-9.7MiB live, 38.0MiB allocated; 0ms collecting garbage

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	430	16	446
Fresh	8	21	29
Picked	2	3	5
Done	0	4	4
Total	440	44	484

Accuracy

99.7%

Counts

484 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) #s(approx (/ (/ 1 n) 2) (/.f64 #s(literal 1/2 binary64) n))))
✓	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (* x x) (/ (/ 1 n) 2)) #s(literal 1 binary64)))
✓	29.0%	(-.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)))
	9.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	35.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(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))
	61.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)) n) x))
	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
✓	61.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) n) x))
	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	51.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) #s(approx (sinh (/ (neg (log x)) n)) (.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) n) #s(literal 1/2 binary64)))) (.f64 n x)))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (exp.f64 (/.f64 (log.f64 x) n))) (.f64 x x))) x))
	34.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n))
	60.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
✓	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
	31.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	31.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (exp.f64 (neg.f64 (log.f64 x)))) n))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ (neg (/ (+ (* (/ (* (log x) (log x)) n) -1/2) (neg (log x))) n)) 1) (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64)))) (.f64 n x)))
✓	40.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	39.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
✓	60.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (/ (exp (/ (log x) n)) n) x) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	28.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	28.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) n) x) x))))
✓	25.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))))
	27.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) n)))))
	28.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))))
	38.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 #s(approx (- (/ x n) (/ 1/2 n)) (/.f64 x n)) (*.f64 x x)))))
	29.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (.f64 n n))))
	38.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) (/.f64 (log.f64 x) (*.f64 n n))) x)))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (/ (neg (neg (log x))) (* n n)) (/ 1 n)) x) (/.f64 (log.f64 x) (.f64 (.f64 n n) x)))))

Compiler

Compiled 5 344 to 1 588 computations (70.3% saved)

regimes77.0ms (0.5%)

Memory

-9.4MiB live, 37.1MiB allocated; 2ms collecting garbage

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

20.0ms	(/.f64 #s(literal 1 binary64) n)
19.0ms	n
18.0ms	x
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
85.5%	3	`(/.f64 #s(literal 1 binary64) n)`
83.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
82.0%	2	`x`
85.5%	4	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes17.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

61 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
86.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes17.0ms (0.1%)

Memory

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

Counts

60 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
86.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes16.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

58 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
86.2%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

48 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
85.5%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes26.0ms (0.2%)

Memory

-39.5MiB live, 13.1MiB allocated; 3ms collecting garbage

Counts

46 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	n

Results

Accuracy	Segments	Branch
85.3%	5	`n`
85.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes38.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

40 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
9.0ms	n
9.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
69.7%	4	`n`
80.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
60.9%	1	`x`
68.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes8.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
77.8%	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)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

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
75.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.1%)

Memory

-37.5MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n
4.0ms	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
62.6%	3	`x`
56.3%	4	`n`
57.7%	5	`(/.f64 #s(literal 1 binary64) n)`
47.7%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.2%	3	`(/.f64 #s(literal 1 binary64) n)`
50.2%	3	`n`
46.3%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes7.0ms (0%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
40.8%	1	`x`
40.8%	1	`(/.f64 #s(literal 1 binary64) n)`
40.8%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
40.8%	1	`(/.f64 #s(literal 1 binary64) n)`
40.8%	1	`x`
40.8%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.5%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
40.5%	1	`(/.f64 #s(literal 1 binary64) n)`
40.5%	1	`x`
40.5%	1	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8757721081781726	2366187439.7195115
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8278748524293198e+158	4.793236120885714e+158
0.0ms	0.01769387206131968	0.8757721081781726
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8278748524293198e+158	4.793236120885714e+158
0.0ms	4.629533927433e-15	0.01769387206131968
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8278748524293198e+158	4.793236120885714e+158
0.0ms	0.8757721081781726	2366187439.7195115
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8278748524293198e+158	4.793236120885714e+158
0.0ms	0.8757721081781726	2366187439.7195115
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8278748524293198e+158	4.793236120885714e+158
0.0ms	0.8757721081781726	2366187439.7195115
0.0ms	-2.418683579139504e-84	-2.344012771019825e-88

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.591593606382503e-12	0.18608509011392016
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.591593606382503e-12	0.18608509011392016
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.591593606382503e-12	0.18608509011392016
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.591593606382503e-12	0.18608509011392016
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.591593606382503e-12	0.18608509011392016
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch66.0ms (0.4%)

Memory

-36.4MiB live, 11.2MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	3.7173208552530844e+143	1.9508812804147178e+146
27.0ms	0.0007946885541448656	7.365259251979444

Samples

38.0ms	120×	2	valid
7.0ms	97×	0	valid
6.0ms	39×	1	valid
1.0ms	17×	0	exit

Compiler

Compiled 1 160 to 709 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 32.0ms (73.6% of total)

adjust: 6.0ms (13.8% of total)

ival-div!: 3.0ms (6.9% of total)

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

ival-sub!: 1.0ms (2.3% of total)

bsearch25.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.7173208552530844e+143	1.9508812804147178e+146
1.0ms	0.0007946885541448656	7.365259251979444

Samples

16.0ms	48×	2	valid
2.0ms	26×	0	valid
1.0ms	6×	1	valid
1.0ms	9×	0	exit

Compiler

Compiled 1 160 to 725 computations (37.5% saved)

Precisions

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

ival-pow: 12.0ms (73.4% of total)

adjust: 2.0ms (12.2% of total)

ival-div!: 1.0ms (6.1% of total)

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

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

bsearch29.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.7173208552530844e+143	1.9508812804147178e+146
26.0ms	8.008689289995417e-11	4.311416884548191e-6

Samples

10.0ms	33×	2	valid
6.0ms	38×	1	valid
5.0ms	57×	0	valid

Compiler

Compiled 856 to 581 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 14.0ms (77% of total)

adjust: 2.0ms (11% of total)

ival-sub!: 1.0ms (5.5% of total)

ival-div!: 1.0ms (5.5% of total)

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

bsearch2.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.7173208552530844e+143	1.9508812804147178e+146
1.0ms	8.008689289995417e-11	4.311416884548191e-6

Compiler

Compiled 848 to 581 computations (31.5% saved)

bsearch43.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-5.988743596381624e-223	-9.68860227760426e-227
28.0ms	-1065054763.8449919	-0.05343383667548277

Samples

15.0ms	223×	0	valid
8.0ms	45×	1	valid
7.0ms	20×	2	valid

Compiler

Compiled 934 to 643 computations (31.2% saved)

Precisions

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

ival-pow: 17.0ms (72.7% of total)

adjust: 2.0ms (8.6% of total)

ival-div!: 2.0ms (8.6% of total)

ival-add!: 1.0ms (4.3% of total)

ival-sub!: 1.0ms (4.3% of total)

derivations410.0ms (2.5%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 321 to 216 computations (90.7% saved)

preprocess152.0ms (0.9%)

Memory: -33.3MiB live, 163.2MiB allocated; 31ms collecting garbage
Compiler: Compiled 4 668 to 448 computations (90.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze210.0ms (1.3%)

sample12.9s (80.3%)

explain243.0ms (1.5%)

preprocess61.0ms (0.4%)

series60.0ms (0.4%)

rewrite162.0ms (1%)

eval13.0ms (0.1%)

prune12.0ms (0.1%)

series240.0ms (1.5%)

rewrite204.0ms (1.3%)

eval84.0ms (0.5%)

prune41.0ms (0.3%)

series131.0ms (0.8%)

rewrite174.0ms (1.1%)

eval48.0ms (0.3%)

prune39.0ms (0.2%)

series161.0ms (1%)

rewrite171.0ms (1.1%)

eval50.0ms (0.3%)

prune56.0ms (0.3%)

regimes77.0ms (0.5%)

regimes17.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes26.0ms (0.2%)

regimes38.0ms (0.2%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch66.0ms (0.4%)

bsearch25.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch2.0ms (0%)

bsearch43.0ms (0.3%)

derivations410.0ms (2.5%)

preprocess152.0ms (0.9%)

end0.0ms (0%)

Profiling