Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze445.0ms (1.8%)

Memory

48.4MiB live, 379.7MiB allocated; 88ms 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)

sample18.7s (76%)

Memory

105.9MiB live, 16 515.8MiB allocated; 5.7s collecting garbage

Samples

12.9s	6 188×	5	exit
2.4s	3 007×	2	valid
983.0ms	2 790×	1	valid
325.0ms	168×	4	exit
317.0ms	2 458×	0	valid
304.0ms	1 044×	1	exit
166.0ms	1 492×	0	exit
2.0ms	1×	3	exit
1.0ms	1×	2	exit
1.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 16.5s

ival-pow: 13.7s (83.1% of total)

adjust: 2.0s (12.2% of total)

ival-div!: 497.0ms (3% of total)

ival-add!: 140.0ms (0.9% of total)

ival-sub!: 140.0ms (0.9% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess187.0ms (0.8%)

Memory

-10.1MiB live, 35.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	41	84
2	59	84
3	128	84
4	570	82
5	5797	82

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(-.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 22 to 16 computations (27.3% saved)

series270.0ms (1.1%)

Memory

-11.9MiB live, 99.0MiB allocated; 25ms collecting garbage

Counts

8 → 53

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
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 (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (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)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) 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 (/ 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
162.0ms	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)))
83.0ms	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)))
9.0ms	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)))
8.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
5.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite644.0ms (2.6%)

Memory

53.2MiB live, 361.2MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	2177
0	317	1906
1	1035	1754
2	5112	1754
0	9972	1754
0	20415	1533

Stop Event

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

Counts

61 → 135

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 (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (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)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) 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 (/ 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 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (.f64 (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) (.f64 (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (-.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (E.f64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) (.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (-.f64 (.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))))
(/.f64 (-.f64 (.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))) (-.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))
(/.f64 (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) (.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) n)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
(exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))
(+.f64 (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (sinh.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x)
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1 binary64) n)
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(exp.f64 (*.f64 (log.f64 (neg.f64 (neg.f64 n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
n
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (exp.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (E.f64) (/.f64 (log.f64 x) n))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (/.f64 (log.f64 x) n) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (neg.f64 (log.f64 x)) n))
(pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)) (-.f64 (.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) (.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 (.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) (.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))) (-.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 (.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 1 binary64))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 n n) n) n)) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 n n) n)))) (.f64 (.f64 x x) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (*.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))) x))
#s(approx (pow (+ x 1) (/ 1 n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow x (/ 1 n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (neg.f64 x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 n n) n) n)) (/.f64 #s(literal -11/24 binary64) (.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 n n) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x)) x)) x))
#s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x))))
#s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (fma.f64 (neg.f64 (pow.f64 x (/.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) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (.f64 (.f64 n n) n)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 n n) n)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64))) n))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (pow.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1 binary64))))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64))) n) (log.f64 x)) n) #s(literal 1 binary64)))

eval13.0ms (0.1%)

Memory: 14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 753 to 556 computations (68.3% saved)

prune25.0ms (0.1%)

Memory

-50.7MiB live, 10.1MiB allocated; 13ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Accuracy

99.5%

Counts

125 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(-.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)))
	15.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	21.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	36.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
▶	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))

Compiler

Compiled 346 to 306 computations (11.6% saved)

series119.0ms (0.5%)

Memory

14.3MiB live, 245.9MiB allocated; 30ms collecting garbage

Counts

29 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/ (pow x (/ 1 n)) x) (/ (pow x (/ 1 n)) n))
21.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/ (pow x (/ 1 n)) x) (/ (pow x (/ 1 n)) n))
20.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/ (pow x (/ 1 n)) x) (/ (pow x (/ 1 n)) n))
18.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/ (pow x (/ 1 n)) x) (/ (pow x (/ 1 n)) n))
16.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (/ 1 n)) (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/ (pow x (/ 1 n)) x) (/ (pow x (/ 1 n)) n))

rewrite557.0ms (2.3%)

Memory

47.2MiB live, 634.4MiB allocated; 193ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	878	6601
0	922	5892
1	2865	5715
0	8236	5715
0	17924	5476

Stop Event

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

Counts

197 → 343

Calls

Call 1

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

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

eval104.0ms (0.4%)

Memory: -15.4MiB live, 87.6MiB allocated; 43ms collecting garbage
Compiler: Compiled 6 490 to 2 140 computations (67% saved)

prune93.0ms (0.4%)

Memory

-1.1MiB live, 47.2MiB allocated; 7ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	405	22	427
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	408	28	436

Accuracy

99.6%

Counts

436 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(-.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)))
	15.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	25.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	22.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	36.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	32.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n)) x))
✓	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))) n))
▶	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
	59.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (.f64 n x)))
✓	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	39.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 n x)))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal -1/2 binary64) (exp.f64 (/.f64 (log.f64 x) n))) n (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal 1/2 binary64))) (.f64 n n))) x))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
▶	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
▶	59.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n)))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))

Compiler

Compiled 1 194 to 1 023 computations (14.3% saved)

series267.0ms (1.1%)

Memory

-20.3MiB live, 327.4MiB allocated; 92ms collecting garbage

Counts

38 → 226

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
79.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) 1 x (log x) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (* n n)) (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (+ (* -1/2 x) 1) -1/2 (* 1/2 x) 1/2 (* n n) (pow x (/ 1 n)) (/ 1 n))
67.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) 1 x (log x) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (* n n)) (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (+ (* -1/2 x) 1) -1/2 (* 1/2 x) 1/2 (* n n) (pow x (/ 1 n)) (/ 1 n))
35.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) 1 x (log x) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (* n n)) (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (+ (* -1/2 x) 1) -1/2 (* 1/2 x) 1/2 (* n n) (pow x (/ 1 n)) (/ 1 n))
31.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) 1 x (log x) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (* n n)) (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (+ (* -1/2 x) 1) -1/2 (* 1/2 x) 1/2 (* n n) (pow x (/ 1 n)) (/ 1 n))
15.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) 1 x (log x) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/ (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (* n n)) (+ (* (+ (* -1/2 x) 1) n) (* 1/2 x)) (+ (* -1/2 x) 1) -1/2 (* 1/2 x) 1/2 (* n n) (pow x (/ 1 n)) (/ 1 n))

rewrite418.0ms (1.7%)

Memory

54.1MiB live, 458.4MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	886	7150
0	933	6386
1	2727	6017
0	8442	5697
0	17687	5296

Stop Event

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

Counts

264 → 494

Calls

Call 1

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

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

eval50.0ms (0.2%)

Memory: -4.0MiB live, 85.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 493 to 2 418 computations (62.8% saved)

prune98.0ms (0.4%)

Memory

-26.2MiB live, 50.6MiB allocated; 120ms collecting garbage

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	386	19	405
Fresh	7	13	20
Picked	4	1	5
Done	0	3	3
Total	397	36	433

Accuracy

99.7%

Counts

433 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(-.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)))
▶	10.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	15.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	10.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	36.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) n))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (log.f64 (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (log.f64 (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x)))) n))
▶	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x))) n))
	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n)) (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n))) (.f64 (/.f64 (.f64 n (log.f64 x)) (.f64 n n)) (/.f64 (.f64 n (log.f64 x)) (.f64 n n)))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n)) (/.f64 (.f64 n (log.f64 x)) (.f64 n n)))))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
	59.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (.f64 n x)))
	46.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
✓	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	39.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 n x)))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 #s(literal 1 binary64) x)) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (neg.f64 (log.f64 x))) n))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal -1/2 binary64) (exp.f64 (/.f64 (log.f64 x) n))) n (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal 1/2 binary64))) (.f64 n n))) x))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (neg.f64 (log.f64 x)))))))) n))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) (-.f64 x (log.f64 x)))) n))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal 1 binary64)) x))) n))
▶	4.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
▶	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (log (+ 1 x)) x) n) (/.f64 (log.f64 x) n)))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))

Compiler

Compiled 1 814 to 1 446 computations (20.3% saved)

series163.0ms (0.7%)

Memory

3.0MiB live, 239.1MiB allocated; 35ms collecting garbage

Counts

47 → 291

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log x) x (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/ (- (/ 1/2 n) 1/2) n) (- (/ 1/2 n) 1/2) (/ 1/2 n) 1/2 (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (/ (- 1/3 (/ 1/2 n)) n) (- 1/3 (/ 1/2 n)) 1/3 (/ 1/2 (* n n)) (pow x (/ 1 n)))
34.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log x) x (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/ (- (/ 1/2 n) 1/2) n) (- (/ 1/2 n) 1/2) (/ 1/2 n) 1/2 (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (/ (- 1/3 (/ 1/2 n)) n) (- 1/3 (/ 1/2 n)) 1/3 (/ 1/2 (* n n)) (pow x (/ 1 n)))
29.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log x) x (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/ (- (/ 1/2 n) 1/2) n) (- (/ 1/2 n) 1/2) (/ 1/2 n) 1/2 (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (/ (- 1/3 (/ 1/2 n)) n) (- 1/3 (/ 1/2 n)) 1/3 (/ 1/2 (* n n)) (pow x (/ 1 n)))
27.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log x) x (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/ (- (/ 1/2 n) 1/2) n) (- (/ 1/2 n) 1/2) (/ 1/2 n) 1/2 (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (/ (- 1/3 (/ 1/2 n)) n) (- 1/3 (/ 1/2 n)) 1/3 (/ 1/2 (* n n)) (pow x (/ 1 n)))
13.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) n) (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x)) (log x) x (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ (log (+ 1 x)) n) (/ (log x) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) (/ (- (/ 1/2 n) 1/2) n) (- (/ 1/2 n) 1/2) (/ 1/2 n) 1/2 (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (/ (- 1/3 (/ 1/2 n)) n) (- 1/3 (/ 1/2 n)) 1/3 (/ 1/2 (* n n)) (pow x (/ 1 n)))

rewrite391.0ms (1.6%)

Memory

-0.1MiB live, 332.4MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1163	10747
0	1223	9441
1	3699	9383
0	8131	9367
0	15001	8676

Stop Event

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

Counts

338 → 561

Calls

Call 1

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

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

eval175.0ms (0.7%)

Memory: -1.5MiB live, 87.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 9 535 to 3 527 computations (63% saved)

prune36.0ms (0.1%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	519	8	527
Fresh	3	24	27
Picked	3	2	5
Done	0	4	4
Total	525	38	563

Accuracy

99.7%

Counts

563 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(-.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)))
	22.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (/ (- 1/3 (/ 1/2 n)) n)) x) (/ 1/2 (* n n))) (/ 1/2 n)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n (.f64 #s(literal 1/6 binary64) x)) (.f64 (*.f64 n n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.4%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) n (.f64 #s(literal 1/2 binary64) x)) (.f64 n n))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	10.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	5.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	36.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	60.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
	46.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (log.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) n))
	27.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (.f64 #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (log.f64 (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(approx (+ (log (+ 1 x)) (log x)) (-.f64 (log.f64 (.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x)))) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x)) #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x)))) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x))) n))
	52.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x)))) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x))) n))
	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n)) (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n))) (.f64 (/.f64 (.f64 n (log.f64 x)) (.f64 n n)) (/.f64 (.f64 n (log.f64 x)) (.f64 n n)))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (.f64 n n)) (/.f64 (.f64 n (log.f64 x)) (.f64 n n)))))
	24.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (.f64 #s(approx (log (+ 1 x)) x) n) (.f64 n (log.f64 x))) (*.f64 n n)))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) x) (log.f64 x)) n))
	54.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (neg.f64 n)))
	59.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (.f64 n x)))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x))) (.f64 #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x)) n)))
✓	60.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
	39.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 n x)))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n))
	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 #s(literal 1 binary64) x)) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (neg.f64 (log.f64 x))) n))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal -1/2 binary64) (exp.f64 (/.f64 (log.f64 x) n))) n (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) #s(literal 1/2 binary64))) (.f64 n n))) x))
	27.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
	30.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (neg.f64 (log.f64 x)))))))) n))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) (*.f64 (+.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal 1 binary64)) x))) n))
✓	4.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
✓	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (log (+ 1 x)) x) n) (/.f64 (log.f64 x) n)))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
	60.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x))) (/.f64 #s(approx (+ (log (+ 1 x)) (log x)) (log.f64 x)) n)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
	41.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (pow x (/ 1 n)) (* n x)) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))))
	26.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))

Compiler

Compiled 1 904 to 1 199 computations (37% saved)

regimes118.0ms (0.5%)

Memory

-45.6MiB live, 64.2MiB allocated; 21ms collecting garbage

Counts

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

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

Calls

4 calls:

44.0ms	(/.f64 #s(literal 1 binary64) n)
44.0ms	n
15.0ms	x
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)))

Results

Accuracy	Segments	Branch
88.1%	4	`(/.f64 #s(literal 1 binary64) n)`
83.2%	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)))`
80.6%	2	`x`
88.1%	5	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes15.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
88.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes25.0ms (0.1%)

Memory

-1.7MiB live, 40.4MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

2 calls:

13.0ms	n
10.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
87.9%	6	`n`
87.9%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes10.0ms (0%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
87.6%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes35.0ms (0.1%)

Memory

-7.1MiB live, 85.2MiB allocated; 7ms collecting garbage

Counts

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

Calls

4 calls:

11.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n
8.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
64.0%	3	`x`
79.5%	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)))`
75.4%	8	`n`
75.4%	7	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes10.0ms (0%)

Memory

-43.4MiB live, 16.0MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
75.9%	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 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
73.9%	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 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
70.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes44.0ms (0.2%)

Memory

-15.7MiB live, 30.1MiB allocated; 4ms collecting garbage

Counts

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

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

31.0ms	n
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
65.1%	5	`x`
56.0%	5	`n`
55.9%	4	`(/.f64 #s(literal 1 binary64) n)`
39.9%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0%)

Memory

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

Counts

14 → 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 (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (log (+ 1 x)) (log x))) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (* (+ (log (+ 1 x)) (log x)) (log (/ (+ 1 x) x))) (+ (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) x)) #s(approx (+ (neg (log x)) x) (-.f64 x (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (- (/ 1/2 n) 1/2) n) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n 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) x)) #s(approx (+ (neg (log x)) x) (-.f64 x (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(-.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
65.1%	5	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) (-.f64 x (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ (pow x (/ 1 n)) x)) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (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
65.1%	5	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

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

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

3.0ms

Results

Accuracy	Segments	Branch
64.8%	5	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

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

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

3.0ms

Results

Accuracy	Segments	Branch
64.2%	5	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes76.0ms (0.3%)

Memory

-27.3MiB live, 18.2MiB allocated; 6ms collecting garbage

Counts

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

Calls

3 calls:

71.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n

Results

Accuracy	Segments	Branch
47.8%	3	`n`
47.8%	2	`(/.f64 #s(literal 1 binary64) n)`
48.1%	4	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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 (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
46.8%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes5.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Accuracy

Total -18.1b remaining (-41.5%)

Threshold costs -18.1b (-41.5%)

Counts

2 → 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)))

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

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
31.9%	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)))`
31.9%	1	`x`
31.9%	1	`n`
31.9%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.004986432560112442	35197.63347256986
0.0ms	2.8232650649276555e-50	1.0058954902553243e-46
0.0ms	-2.6795058175090322e-167	-7.21883915101337e-170

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	0.004986432560112442	35197.63347256986
0.0ms	2.8232650649276555e-50	1.0058954902553243e-46
0.0ms	-2.6795058175090322e-167	-7.21883915101337e-170

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.240304007326403e+186	6.092707305033148e+195
0.0ms	0.004986432560112442	35197.63347256986
0.0ms	2.8232650649276555e-50	1.0058954902553243e-46
0.0ms	-2.6795058175090322e-167	-7.21883915101337e-170

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.321372501842445e+155	8.793661517358924e+185
0.0ms	0.004986432560112442	35197.63347256986
0.0ms	2.8232650649276555e-50	1.0058954902553243e-46
0.0ms	-2.6795058175090322e-167	-7.21883915101337e-170

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	-2.5088114315738715e+65	-1.29476429577835e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0
0.0ms	-2.5088114315738715e+65	-1.29476429577835e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0
0.0ms	-2.5088114315738715e+65	-1.29476429577835e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0
0.0ms	-2.5088114315738715e+65	-1.29476429577835e-11

Compiler

Compiled 14 to 13 computations (7.1% 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	-2.5088114315738715e+65	-1.29476429577835e-11

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch130.0ms (0.5%)

Memory

-14.5MiB live, 200.6MiB allocated; 41ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
39.0ms	1.3618645356285382e+216	5.428624074961012e+217
0.0ms	2.859207153522642e+142	2.951321619941626e+142
39.0ms	4.407843968553093e+55	1.1789478253987635e+62
42.0ms	0.052544938748973535	25.08673336174779

Samples

77.0ms	168×	2	valid
14.0ms	85×	1	valid
9.0ms	131×	0	valid
3.0ms	34×	0	exit

Compiler

Compiled 1 064 to 965 computations (9.3% saved)

Precisions

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

ival-pow: 70.0ms (78% of total)

adjust: 11.0ms (12.3% of total)

ival-div!: 5.0ms (5.6% of total)

ival-add!: 2.0ms (2.2% of total)

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

bsearch4.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.3618645356285382e+216	5.428624074961012e+217
0.0ms	2.859207153522642e+142	2.951321619941626e+142
1.0ms	4.407843968553093e+55	1.1789478253987635e+62
1.0ms	0.052544938748973535	25.08673336174779

Compiler

Compiled 1 096 to 997 computations (9% saved)

bsearch8.0ms (0%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.3618645356285382e+216	5.428624074961012e+217
0.0ms	2.859207153522642e+142	2.951321619941626e+142
5.0ms	4.407843968553093e+55	1.1789478253987635e+62
1.0ms	0.052544938748973535	25.08673336174779

Samples

2.0ms	7×	2	valid
1.0ms	4×	1	valid
0.0ms	5×	0	valid
0.0ms	3×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 1 022 to 951 computations (6.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-pow: 2.0ms (67.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch26.0ms (0.1%)

Memory

-28.9MiB live, 23.6MiB allocated; 20ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.3618645356285382e+216	5.428624074961012e+217
0.0ms	2.859207153522642e+142	2.951321619941626e+142
1.0ms	4.407843968553093e+55	1.1789478253987635e+62
23.0ms	0.052544938748973535	25.08673336174779

Samples

17.0ms	18×	0	valid
2.0ms	10×	1	valid
1.0ms	4×	2	valid
1.0ms	7×	0	exit

Compiler

Compiled 784 to 781 computations (0.4% saved)

Precisions

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

ival-add!: 16.0ms (80.4% of total)

ival-pow: 3.0ms (15.1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.1%)

Memory

15.8MiB live, 55.0MiB allocated; 19ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.3618645356285382e+216	5.428624074961012e+217
0.0ms	2.859207153522642e+142	2.951321619941626e+142
1.0ms	4.407843968553093e+55	1.1789478253987635e+62
28.0ms	0.052544938748973535	25.08673336174779

Samples

17.0ms	27×	0	valid
6.0ms	19×	2	valid
3.0ms	18×	1	valid

Compiler

Compiled 752 to 749 computations (0.4% saved)

Precisions

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

ival-add!: 15.0ms (64.3% of total)

ival-pow: 6.0ms (25.7% of total)

adjust: 1.0ms (4.3% of total)

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-344.33046225470645	-2.0682638505566033

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-344.33046225470645	-2.0682638505566033

Compiler

Compiled 14 to 14 computations (0% saved)

derivations1.1s (4.6%)

Memory

-15.4MiB live, 653.0MiB allocated; 113ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 345 to 184 computations (46.7% saved)

preprocess149.0ms (0.6%)

Memory: 30.6MiB live, 269.0MiB allocated; 72ms collecting garbage
Compiler: Compiled 356 to 192 computations (46.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze445.0ms (1.8%)

sample18.7s (76%)

preprocess187.0ms (0.8%)

series270.0ms (1.1%)

rewrite644.0ms (2.6%)

eval13.0ms (0.1%)

prune25.0ms (0.1%)

series119.0ms (0.5%)

rewrite557.0ms (2.3%)

eval104.0ms (0.4%)

prune93.0ms (0.4%)

series267.0ms (1.1%)

rewrite418.0ms (1.7%)

eval50.0ms (0.2%)

prune98.0ms (0.4%)

series163.0ms (0.7%)

rewrite391.0ms (1.6%)

eval175.0ms (0.7%)

prune36.0ms (0.1%)

regimes118.0ms (0.5%)

regimes15.0ms (0.1%)

regimes25.0ms (0.1%)

regimes10.0ms (0%)

regimes35.0ms (0.1%)

regimes10.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes44.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes76.0ms (0.3%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch130.0ms (0.5%)

bsearch4.0ms (0%)

bsearch8.0ms (0%)

bsearch26.0ms (0.1%)

bsearch31.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations1.1s (4.6%)

preprocess149.0ms (0.6%)

end0.0ms (0%)

Profiling