Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze330.0ms (1.4%)

Memory

9.1MiB live, 290.2MiB allocated; 87ms 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)

sample20.4s (84.6%)

Memory

324.5MiB live, 18 248.1MiB allocated; 5.0s collecting garbage

Samples

15.7s	7 129×	5	exit
1.7s	2 923×	2	valid
1.3s	2 860×	1	valid
273.0ms	2 473×	0	valid
205.0ms	1 622×	0	exit

Precisions

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

ival-pow: 14.9s (82.7% of total)

adjust: 1.7s (9.4% of total)

ival-sub: 559.0ms (3.1% of total)

ival-div: 515.0ms (2.9% of total)

ival-add: 316.0ms (1.8% of total)

exact: 24.0ms (0.1% of total)

ival-assert: 8.0ms (0% of total)

Bogosity

explain282.0ms (1.2%)

Memory

19.8MiB live, 314.7MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
103	1	(1.9471834085032315e+66 -4.4296832023207564e+256)	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)))`
48	31	(1.2310191120554953e-233 6.878864844716702e-154)	1	(1.7115851808437543e+167 -7.370175507145937)	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	0	-	1	(1.7115851808437543e+167 -7.370175507145937)	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`n`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	cancellation	102	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	78	2
`-.f64`	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`	nan-rescue	2	0
↳	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	overflow	26
↳	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`	overflow	42

Confusion

	Predicted +	Predicted -
+	128	0
-	54	74

Precision

0.7032967032967034

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	54	0	74

Precision?

0.7032967032967034

Recall?

1.0

Freqs

test

number	freq
0	74
1	182

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

111.0ms	258×	1	valid
70.0ms	158×	2	valid
8.0ms	96×	0	valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-pow: 123.0ms (74.2% of total)

adjust: 22.0ms (13.3% of total)

ival-div: 9.0ms (5.4% of total)

ival-add: 5.0ms (3% of total)

ival-sub: 5.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess197.0ms (0.8%)

Memory

-5.9MiB live, 179.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (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
0	8	13
0	13	13
1	16	13
2	19	13
3	32	13
4	75	13
5	372	13
6	6791	13
0	8238	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(-.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)

series68.0ms (0.3%)

Memory

33.5MiB live, 115.8MiB allocated; 18ms 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
28.0ms	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)))
18.0ms	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)))
17.0ms	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)))
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)))
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)))

rewrite171.0ms (0.7%)

Memory

13.9MiB live, 155.9MiB allocated; 41ms 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
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(pow.f64 (exp.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
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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 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
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(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 x (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))))
#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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
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#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 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) 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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x 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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (/ 1 n) (pow.f64 n #s(literal -1 binary64)))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log1p.f64 x)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log.f64 x))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 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 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #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 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))

eval14.0ms (0.1%)

Memory: -26.3MiB live, 19.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 327 to 499 computations (85% saved)

prune10.0ms (0%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Accuracy

99.8%

Counts

115 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.6%	(-.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)))
▶	30.2%	(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	38.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.0%	(-.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)))
▶	62.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	38.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	38.1%	#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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	54.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	32.1%	#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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	35.0%	#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 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	60.4%	#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)))

Compiler

Compiled 732 to 420 computations (42.6% saved)

series156.0ms (0.6%)

Memory

-20.7MiB live, 164.5MiB allocated; 57ms collecting garbage

Counts

27 → 136

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) x n (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) (log x) (* n x))
33.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) x n (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) (log x) (* n x))
26.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) x n (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) (log x) (* n x))
21.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) x n (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) (log x) (* n x))
17.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) x n (pow x (/ 1 n)) (/ 1 n) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) (log x) (* n x))

rewrite581.0ms (2.4%)

Memory

-208.2MiB live, 144.5MiB allocated; 935ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	4296
0	610	3740
1	3506	3722
0	8853	3630

Stop Event

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

Counts

163 → 244

Calls

Call 1

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

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

eval32.0ms (0.1%)

Memory: 25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 10 170 to 1 237 computations (87.8% saved)

prune29.0ms (0.1%)

Memory

-44.6MiB live, 31.2MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	326	15	341
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	333	19	352

Accuracy

99.8%

Counts

352 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.6%	(-.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)))
	16.4%	(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	31.0%	(-.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)))
	9.1%	(-.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)))
	26.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	54.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	30.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	38.1%	#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))
▶	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
▶	54.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
	32.1%	#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) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64))) (.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (*.f64 x x))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	35.0%	#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)) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	41.4%	#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)))
	41.8%	#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)))
▶	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (pow.f64 x #s(literal -1 binary64))) n))))

Compiler

Compiled 1 088 to 650 computations (40.3% saved)

series106.0ms (0.4%)

Memory

11.1MiB live, 150.8MiB allocated; 15ms collecting garbage

Counts

30 → 166

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	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))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n)) (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n) (- (/ (neg (log x)) (* n x)) (pow x -1)) (/ (neg (log x)) (* n x)) (neg (log x)) (* n x) (pow x -1) -1)
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))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n)) (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n) (- (/ (neg (log x)) (* n x)) (pow x -1)) (/ (neg (log x)) (* n x)) (neg (log x)) (* n x) (pow x -1) -1)
19.0ms	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))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n)) (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n) (- (/ (neg (log x)) (* n x)) (pow x -1)) (/ (neg (log x)) (* n x)) (neg (log x)) (* n x) (pow x -1) -1)
17.0ms	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))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n)) (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n) (- (/ (neg (log x)) (* n x)) (pow x -1)) (/ (neg (log x)) (* n x)) (neg (log x)) (* n x) (pow x -1) -1)
16.0ms	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))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n)) (/ (- (/ (neg (log x)) (* n x)) (pow x -1)) n) (- (/ (neg (log x)) (* n x)) (pow x -1)) (/ (neg (log x)) (* n x)) (neg (log x)) (* n x) (pow x -1) -1)

rewrite212.0ms (0.9%)

Memory

16.9MiB live, 196.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	4960
0	732	4408
1	4117	4390
0	10035	4302

Stop Event

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

Counts

196 → 290

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

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

eval35.0ms (0.1%)

Memory: 7.1MiB live, 52.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 248 to 1 494 computations (86.7% saved)

prune38.0ms (0.2%)

Memory

-15.8MiB live, 40.1MiB allocated; 32ms collecting garbage

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	304	16	320
Fresh	4	8	12
Picked	2	3	5
Done	0	2	2
Total	310	29	339

Accuracy

99.8%

Counts

339 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.6%	(-.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)))
	16.4%	(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	12.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	31.0%	(-.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)))
	9.1%	(-.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)))
	26.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	54.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	30.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x))))) n))
	54.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x))) n))
✓	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n) x))
	52.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) n))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
	54.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	49.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
▶	28.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
▶	41.4%	#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)))
▶	41.8%	#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)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (-.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) x)))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 #s(approx (- (/ (neg (log x)) (* n x)) (pow x -1)) (/.f64 #s(literal -1 binary64) x)) n))))

Compiler

Compiled 1 571 to 998 computations (36.5% saved)

series99.0ms (0.4%)

Memory

3.3MiB live, 141.3MiB allocated; 11ms collecting garbage

Counts

39 → 238

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
(-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#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)))
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n)))
(exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))
(/.f64 #s(approx (log (+ 1 x)) x) n)
#s(approx (log (+ 1 x)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.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 (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (/ (log x) n)) (* n x))))
#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 (* n x) #s(hole binary64 (* n 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 (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (- (log (+ 1 x)) (log 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)) (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- x (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- (* x (+ 1 (* -1/2 x))) (log x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ -1/4 (pow x 4))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (* 1/3 x) 1/4) (pow x 4))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ 1/4 (pow x 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) (pow x 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 4))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (/ 1/4 (pow x 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) (pow x 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ 1/4 (pow x 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) (pow x 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3))))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ -1/4 (pow x 3))))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ (- (* 1/3 x) 1/4) (pow x 3))))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 3))))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (/ (- (* 1/3 x) 1/4) (pow x 2))))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2))))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ (- (* 1/3 x) 1/4) (pow x 2))))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) (pow x 2))))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 (/ 1/4 x)))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) x)))
#s(approx (/ 1/4 x) #s(hole binary64 (/ 1/4 x)))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (+ 1 (/ (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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 1))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (exp (/ (log (+ 1 x)) 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 (/ (log (+ 1 x)) n) #s(hole binary64 (/ x n)))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* -1/2 (/ x n)) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#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 (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 (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (/ (log x) n) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 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)) (log x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (- (log (+ 1 x)) (log 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 (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ 1 x)))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ 1 x)))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ -1 x)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 x)) 1) x)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) 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 (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 -1))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2))))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2))))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 x))) x)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 1/3 (/ 1 x))) x)))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ (- (* 1/3 (/ 1 x)) 1/2) x)))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 2)))) x)))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 x)) 1/2)))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 2))))))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ 1/3 x)))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 x))) x)))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ -1/3 x)))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ (- (* 1/4 (/ 1 x)) 1/3) x)))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 x)) 1/3)))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (+ 1 (* -1 (/ (log (/ 1 x)) n)))))
#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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (exp (/ (log (+ 1 x)) 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 (exp (/ (log (+ 1 x)) 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 (/ (log (+ 1 x)) n) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#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 (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (/ (log x) n) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x))))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))))
#s(approx (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))))
#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2)))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x))))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))))
#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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (exp (/ (log (+ 1 x)) 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 (exp (/ (log (+ 1 x)) 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 (/ (log (+ 1 x)) n) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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 n #s(hole binary64 n))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (/ (log x) n)))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (/ (+ n (log x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (/ (log (+ 1 x)) n)))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (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)) #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 (/ (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 (+ (/ (log x) n) 1) #s(hole binary64 1))
#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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (exp (/ (log (+ 1 x)) 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 (/ (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)) #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 (/ (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)) #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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) 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
22.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) (neg (/ (- (/ 1/4 x) 1/3) x)) (/ (- (/ 1/4 x) 1/3) x) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (/ (log x) n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow x (/ 1 n)) (/ 1 n))
19.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) (neg (/ (- (/ 1/4 x) 1/3) x)) (/ (- (/ 1/4 x) 1/3) x) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (/ (log x) n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow x (/ 1 n)) (/ 1 n))
16.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) (neg (/ (- (/ 1/4 x) 1/3) x)) (/ (- (/ 1/4 x) 1/3) x) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (/ (log x) n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow x (/ 1 n)) (/ 1 n))
14.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) (neg (/ (- (/ 1/4 x) 1/3) x)) (/ (- (/ 1/4 x) 1/3) x) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (/ (log x) n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow x (/ 1 n)) (/ 1 n))
13.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x) (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x) (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) (neg (/ (- (/ 1/4 x) 1/3) x)) (/ (- (/ 1/4 x) 1/3) x) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ (/ (log x) n) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow x (/ 1 n)) (/ 1 n))

rewrite183.0ms (0.8%)

Memory

32.3MiB live, 168.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	818	7361
0	859	6604
1	4586	6593
0	8281	6255

Stop Event

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

Counts

277 → 360

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #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))
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
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#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)))
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n)))
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(/.f64 #s(approx (log (+ 1 x)) x) n)
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#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 (* n x) #s(hole binary64 (* n x)))
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#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
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#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4))))
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#s(approx (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2))))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (neg (/ (- (/ 1/4 x) 1/3) x)) #s(hole binary64 (/ (- (* 1/3 x) 1/4) (pow x 2))))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (- (/ 1/4 x) 1/3) x) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) (pow x 2))))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 (/ 1/4 x)))
#s(approx (- (/ 1/4 x) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 x)) x)))
#s(approx (/ 1/4 x) #s(hole binary64 (/ 1/4 x)))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
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#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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 1))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (exp (/ (log (+ 1 x)) 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 (/ (log (+ 1 x)) n) #s(hole binary64 (/ x n)))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* -1/2 (/ x n)) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#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 (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 (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (/ (log x) n) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 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)) (log x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
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#s(approx (/ (- (log (+ 1 x)) (log 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 (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ 1 x)))
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#s(approx (- (log (+ 1 x)) (log x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) #s(hole binary64 (/ 1 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 (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)) #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 (/ (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)) #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 (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) 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
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(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n))))
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(exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) (neg.f64 n))))
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(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))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
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(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
(*.f64 n x)
(*.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n) x))
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#s(approx (exp (/ (log x) n)) #s(literal 1 binary64))
#s(literal 1 binary64)
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#s(approx (log (+ 1 x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx n n)
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (+ (/ (log x) n) 1) (/.f64 (log.f64 x) n))
#s(approx (+ (/ (log x) n) 1) (/.f64 (+.f64 (log.f64 x) n) n))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (exp (/ (log (+ 1 x)) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 (log1p.f64 x) n))
#s(approx (/ 1 n) (pow.f64 n #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log1p.f64 x)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log.f64 x))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64)))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64))))) n))
#s(approx (exp (/ (log x) n)) #s(literal 1 binary64))
#s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64)))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (.f64 n n) x)) #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (pow.f64 x #s(literal -1 binary64))))) n))
#s(approx (exp (/ (log x) n)) #s(literal 1 binary64))
#s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (+ (/ (log x) n) 1) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64)))
#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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.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 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (exp (/ (log x) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (/.f64 (log.f64 x) x)) n)) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (exp (/ (log x) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log x) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))

eval53.0ms (0.2%)

Memory: -27.9MiB live, 68.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 15 524 to 2 049 computations (86.8% saved)

prune31.0ms (0.1%)

Memory

22.0MiB live, 68.5MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	387	6	393
Fresh	7	12	19
Picked	2	3	5
Done	1	4	5
Total	397	25	422

Accuracy

99.8%

Counts

422 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.0%	(-.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)))
	9.1%	(-.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)))
✓	54.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	31.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	30.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	54.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x))))) n))
	54.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x))) n))
✓	60.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n) x))
	52.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) n))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
	54.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
✓	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	28.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 #s(approx (/ (- (/ 1/4 x) 1/3) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	49.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
	42.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 #s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
	7.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) 1) x)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) n))
	41.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ (/ (log x) n) 1) (/.f64 (+.f64 (log.f64 x) n) n))) (*.f64 n x)))
✓	41.8%	#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)))
	27.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
	41.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))))

Compiler

Compiled 2 449 to 822 computations (66.4% saved)

regimes60.0ms (0.3%)

Memory

-5.7MiB live, 82.6MiB allocated; 12ms collecting garbage

Counts

49 → 4

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	n
17.0ms	(/.f64 #s(literal 1 binary64) n)
12.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
89.5%	4	`(/.f64 #s(literal 1 binary64) n)`
84.5%	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)))`
79.3%	3	`x`
89.5%	5	`n`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

36 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
89.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes28.0ms (0.1%)

Memory

-23.0MiB live, 28.1MiB allocated; 13ms collecting garbage

Counts

31 → 4

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n

Results

Accuracy	Segments	Branch
87.3%	4	`n`
87.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes37.0ms (0.2%)

Memory

12.3MiB live, 58.3MiB allocated; 7ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.3%	5	`x`
78.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
72.2%	6	`n`
72.2%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes31.0ms (0.1%)

Memory

-6.7MiB live, 37.8MiB allocated; 21ms collecting garbage

Counts

17 → 5

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	n
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
65.2%	5	`x`
61.3%	6	`n`
62.8%	6	`(/.f64 #s(literal 1 binary64) n)`
56.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory

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

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.2%	3	`(/.f64 #s(literal 1 binary64) n)`
55.3%	2	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes22.0ms (0.1%)

Memory

-23.4MiB live, 21.4MiB allocated; 22ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

14.0ms	n
2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
47.9%	2	`(/.f64 #s(literal 1 binary64) n)`
42.0%	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)))`
49.5%	3	`n`
47.4%	2	`x`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
47.9%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

#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

2 calls:

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

Results

Accuracy	Segments	Branch
49.3%	3	`n`
47.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes4.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.5%	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)))`
30.5%	1	`x`
30.5%	1	`n`
30.5%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1308509.1122098865	2714731.1008614595
0.0ms	1.8915700861458853e-134	3.023665760844173e-130
0.0ms	-3.8915233068790625e-22	-4.640902058033906e-24

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1308509.1122098865	2714731.1008614595
0.0ms	1.8915700861458853e-134	3.023665760844173e-130
0.0ms	-3.8915233068790625e-22	-4.640902058033906e-24

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.942784317851548e-12	731.6613739888991
0.0ms	1.8915700861458853e-134	3.023665760844173e-130
0.0ms	-8.504545319340664	-0.13568197921887004

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0
0.0ms	-inf	0.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch179.0ms (0.7%)

Memory

-19.3MiB live, 173.4MiB allocated; 81ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
85.0ms	2.391602116784135e+159	1.6055953435302703e+164
36.0ms	5.249797977905664e-51	2.0967400406188737e-50
0.0ms	4.217645376703399e-166	4.3171194194892585e-166
53.0ms	3.1606658263086127e-289	6.719998171685193e-289

Samples

99.0ms	93×	1	valid
50.0ms	111×	2	valid
8.0ms	100×	0	valid
2.0ms	24×	0	exit

Compiler

Compiled 1 214 to 865 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-pow: 124.0ms (84.2% of total)

adjust: 12.0ms (8.1% of total)

ival-div: 5.0ms (3.4% of total)

ival-add: 3.0ms (2% of total)

ival-sub: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.391602116784135e+159	1.6055953435302703e+164
1.0ms	5.249797977905664e-51	2.0967400406188737e-50

Compiler

Compiled 1 004 to 715 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.391602116784135e+159	1.6055953435302703e+164

Compiler

Compiled 619 to 445 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5749348181498522000.0	-33918051.300598934

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5749348181498522000.0	-33918051.300598934

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5749348181498522000.0	-33918051.300598934

Compiler

Compiled 14 to 14 computations (0% saved)

simplify91.0ms (0.4%)

Memory

-29.1MiB live, 70.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	945
1	215	939
2	341	937
3	605	937
4	1740	937

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 61718895773929/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 1784291694618827/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 8635607916821689/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/.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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal 8635607916821689/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/.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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/.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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 #s(approx (- (/ (neg (log x)) (* n x)) (pow x -1)) (/.f64 #s(literal -1 binary64) x)) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) #s(literal 1 binary64)) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4253529586511731/21267647932558653966460912964485513216 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (-.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal -1 binary64) x)) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 61718895773929/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 1784291694618827/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 8635607916821689/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 719999999999999967239470972657216344349711477201815563545139095297823037694465526756283434882010985135103421091573002616026835013815659440269579351372132585046016 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/4 x) 1/3) x)) 1/2) x)) (/.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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))))
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derivations463.0ms (1.9%)

Memory

5.5MiB live, 333.0MiB allocated; 63ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 945 to 138 computations (85.4% saved)

preprocess118.0ms (0.5%)

Memory: 39.4MiB live, 127.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 916 to 292 computations (84.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze330.0ms (1.4%)

sample20.4s (84.6%)

explain282.0ms (1.2%)

preprocess197.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series68.0ms (0.3%)

rewrite171.0ms (0.7%)

eval14.0ms (0.1%)

prune10.0ms (0%)

series156.0ms (0.6%)

rewrite581.0ms (2.4%)

eval32.0ms (0.1%)

prune29.0ms (0.1%)

series106.0ms (0.4%)

rewrite212.0ms (0.9%)

eval35.0ms (0.1%)

prune38.0ms (0.2%)

series99.0ms (0.4%)

rewrite183.0ms (0.8%)

eval53.0ms (0.2%)

prune31.0ms (0.1%)

regimes60.0ms (0.3%)

regimes11.0ms (0%)

regimes28.0ms (0.1%)

regimes37.0ms (0.2%)

regimes31.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0%)

regimes22.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch179.0ms (0.7%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify91.0ms (0.4%)

derivations463.0ms (1.9%)

preprocess118.0ms (0.5%)

end0.0ms (0%)

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