Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze294.0ms (1.5%)

Memory

0.6MiB live, 202.7MiB allocated; 61ms 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)

sample16.2s (81.8%)

Memory

176.4MiB live, 13 692.3MiB allocated; 4.7s collecting garbage

Samples

11.2s	5 861×	5	exit
1.6s	2 918×	2	valid
1.1s	2 804×	1	valid
384.0ms	2 534×	0	valid
308.0ms	1 045×	1	exit
144.0ms	1 546×	0	exit
103.0ms	122×	4	exit
5.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 13.7s

ival-pow: 11.0s (79.9% of total)

adjust: 1.9s (14.2% of total)

ival-div!: 382.0ms (2.8% of total)

ival-add!: 287.0ms (2.1% of total)

ival-sub!: 140.0ms (1% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess79.0ms (0.4%)

Memory

-22.7MiB live, 29.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	63	80
2	128	80
3	337	80
4	1882	80

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(-.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)

series62.0ms (0.3%)

Memory

23.8MiB live, 110.6MiB allocated; 12ms collecting garbage

Counts

8 → 50

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
22.0ms	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)))
12.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite148.0ms (0.7%)

Memory

-42.5MiB live, 128.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	2228
0	328	1956
0	2692	1846
1	7421	1846

Stop Event

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

Counts

58 → 73

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 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 (+ 1 (/ 1 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (- (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 (/ (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 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(neg.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (/.f64 n #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))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
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#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
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#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
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#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
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#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (*.f64 n x)))
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#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (*.f64 n x)) (exp.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (-.f64 x #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 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 (.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (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 x #s(literal -1 binary64))) #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 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (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 x #s(literal -1 binary64))) #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 x #s(literal -1 binary64))) #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 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (log.f64 x))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) 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 x #s(literal -1 binary64))) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))

eval7.0ms (0%)

Memory: 12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 277 to 401 computations (68.6% saved)

prune10.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	54	13	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	13	68

Accuracy

99.1%

Counts

68 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
	17.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	16.8%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	22.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	42.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	34.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (.f64 n n))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 n n) n))) (.f64 (*.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
▶	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
▶	60.7%	#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 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (log.f64 x))) n)))
	50.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 694 to 558 computations (19.6% saved)

series338.0ms (1.7%)

Memory

30.7MiB live, 445.8MiB allocated; 55ms collecting garbage

Counts

53 → 292

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
104.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* 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)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
73.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* 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)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
50.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* 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)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
37.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* 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)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
34.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* 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)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))

rewrite404.0ms (2%)

Memory

-8.1MiB live, 359.0MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1500	13440
0	1586	12388
0	8624	12015
1	21368	12015

Stop Event

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

Counts

345 → 438

Calls

Call 1

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

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

eval72.0ms (0.4%)

Memory: -7.8MiB live, 92.4MiB allocated; 26ms collecting garbage
Compiler: Compiled 10 648 to 3 389 computations (68.2% saved)

prune24.0ms (0.1%)

Memory

31.0MiB live, 31.0MiB allocated; 0ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	406	23	429
Fresh	5	3	8
Picked	4	1	5
Done	0	0	0
Total	415	27	442

Accuracy

99.9%

Counts

442 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (.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)))
▶	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)))
	33.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 n (+.f64 n (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	12.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	42.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)) n))
▶	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
▶	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
▶	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
	29.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 #s(approx (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 x x)))))) x)) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (log.f64 x))) n)))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg.f64 (log.f64 x))) (neg.f64 (log.f64 x))) n)))
	50.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 (.f64 x x) x)))))) x)))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
▶	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))
	53.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))))

Compiler

Compiled 1 387 to 1 260 computations (9.2% saved)

series156.0ms (0.8%)

Memory

-5.2MiB live, 135.1MiB allocated; 9ms collecting garbage

Counts

40 → 149

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (- (* 1/3 (/ 1 x)) 1/2) (* 1/3 (/ 1 x)) 1/3 (/ 1 x) 1/2 (- (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)) (* n n) (/ 1 n) (pow x (/ 1 n)))
36.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (- (* 1/3 (/ 1 x)) 1/2) (* 1/3 (/ 1 x)) 1/3 (/ 1 x) 1/2 (- (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)) (* n n) (/ 1 n) (pow x (/ 1 n)))
24.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (- (* 1/3 (/ 1 x)) 1/2) (* 1/3 (/ 1 x)) 1/3 (/ 1 x) 1/2 (- (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)) (* n n) (/ 1 n) (pow x (/ 1 n)))
19.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (- (* 1/3 (/ 1 x)) 1/2) (* 1/3 (/ 1 x)) 1/3 (/ 1 x) 1/2 (- (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)) (* n n) (/ 1 n) (pow x (/ 1 n)))
14.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (- (* 1/3 (/ 1 x)) 1/2) (* 1/3 (/ 1 x)) 1/3 (/ 1 x) 1/2 (- (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)) (* n n) (/ 1 n) (pow x (/ 1 n)))

rewrite206.0ms (1%)

Memory

-6.4MiB live, 180.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	719	5160
0	757	4412
0	5446	4192
1	14355	4192

Stop Event

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

Counts

189 → 292

Calls

Call 1

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

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

eval39.0ms (0.2%)

Memory: 3.6MiB live, 55.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 145 to 1 687 computations (59.3% saved)

prune29.0ms (0.1%)

Memory

-4.4MiB live, 42.5MiB allocated; 1ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	256	20	276
Fresh	12	9	21
Picked	1	4	5
Done	0	1	1
Total	269	34	303

Accuracy

99.9%

Counts

303 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (.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)))
✓	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)))
	33.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	12.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	42.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)) n))
✓	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	30.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
▶	51.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- ( -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- ( -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (log.f64 x))) n))
	33.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (.f64 (.f64 x x) x)))) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)))) n))
	52.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (.f64 n x)))
✓	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
	51.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))))
	29.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 #s(approx (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 x x)))))) x)) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (log.f64 x))) n)))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg.f64 (log.f64 x))) (neg.f64 (log.f64 x))) n)))
	50.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
▶	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
▶	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n x)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) n))) x)))
✓	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
▶	53.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))))

Compiler

Compiled 1 688 to 1 552 computations (8.1% saved)

series230.0ms (1.2%)

Memory

-37.6MiB live, 187.8MiB allocated; 83ms collecting garbage

Counts

46 → 190

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)
(-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)
(fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x))
(/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n x))
(*.f64 (log.f64 x) (log.f64 x))
(log.f64 x)
x
(*.f64 n x)
n
#s(literal 1/2 binary64)
(/.f64 (log.f64 x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
(/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n)
#s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- ( 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x)
(-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- ( 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) #s(approx (/ (- ( 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(.f64 (.f64 x x) #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 (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x)))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) x))))
#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)) x))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* n x))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) x)))
#s(approx (/ (* (log x) (log x)) (* n x)) #s(hole binary64 (/ (pow (log x) 2) (* n x))))
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log x) 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (/ (log x) x) #s(hole binary64 (/ (log x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (/ (/ 1 n) x) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) #s(hole binary64 (/ -1/2 (* n (pow x 2)))))
#s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) #s(hole binary64 (/ (- (/ x n) (* 1/2 (/ 1 n))) (pow x 2))))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (/ -1/2 (* n x))))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (/ (- (/ x n) (* 1/2 (/ 1 n))) x)))
#s(approx (/ 1/2 (* n x)) #s(hole binary64 (/ 1/2 (* n x))))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ 1/3 (pow x 3))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (+ 1/3 (* -1/2 x)) (pow x 3))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ -1/3 (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 x) 1/3) (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* x (+ 1/2 (* -1 x))) 1/3) (pow x 3))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ (- (* 1/2 x) 1/3) (pow x 2))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ (- (* x (+ 1/2 (* -1 x))) 1/3) (pow x 2))))
#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) #s(hole binary64 (/ (+ 1/3 (* -1/2 x)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x) 1/2) (* n n)) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x)))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x))))
#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))) x))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (/ (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))) (* n x))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (/ (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (pow (log (/ 1 x)) 2) n))) x)))
#s(approx (/ (* (log x) (log x)) (* n x)) #s(hole binary64 (/ (pow (log (/ 1 x)) 2) (* n x))))
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log (/ 1 x)) 2)))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (log x) x) #s(hole binary64 (* -1 (/ (log (/ 1 x)) x))))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (/ 1 n)))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (- (/ 1 n) (* 1/2 (/ 1 (* n x))))))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (- x -1) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ -1 x)))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 x)) 1) x)))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 -1))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1)))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2))))))
#s(approx (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 x))) x)))
#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) #s(hole binary64 (/ (- (* 1/3 (/ 1 x)) 1/2) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
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#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))) x)))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))) (* n x)))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))) x))))
#s(approx (/ (* (log x) (log x)) (* n x)) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n x))))
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
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#s(approx (/ (log x) x) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)))
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#s(approx (log (/ (- x -1) x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
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#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))))
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#s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (* (pow n 3) x)))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (/ (- (/ (* n (log x)) x) (* -1/2 (/ (pow (log x) 2) x))) (pow n 3))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (/ (- (* n (- (/ n x) (* -1 (/ (log x) x)))) (* -1/2 (/ (pow (log x) 2) x))) (pow n 3))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) (* (pow n 3) x)))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (/ (+ (* -1 (/ (* n (log x)) x)) (* -1/2 (/ (pow (log x) 2) x))) (pow n 3))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* n (+ (* -1 (/ n x)) (* -1 (/ (log x) x))))) (pow n 3))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (/ (- (* -1 (/ (* n (log x)) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (/ (- (* n (- (* -1 (/ n x)) (/ (log x) x))) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) x)) (/ (* n (log x)) x)) (pow n 2))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (* n x)))))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) x)) (/ (* n (log x)) x)) n)))
#s(approx n #s(hole binary64 n))
#s(approx (/ (log (/ (- x -1) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x))))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (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)) (* 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 (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (/ (- (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (/ -1 (* n x))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (/ (- (+ (* -1 (/ (log x) (* n x))) (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x)))) (/ 1 x)) n)))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (- (* -1 (/ (log x) (* n x))) (/ 1 x))))
#s(approx (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))))
#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (* -1 (/ (log x) (* n x)))))
#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (/ (- (* -1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (/ (log x) (* n x))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)))
#s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x))))
#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))))))
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#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) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) (* n x))) (* -1 (/ (log x) x))) n)) (/ 1 x)) n))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (* -1 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))))
#s(approx (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) n))))
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#s(approx (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) (* n x))) (* -1 (/ (log x) x))) n))))
#s(approx (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n))))
#s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))))
#s(approx (- (/ 1 n) (/ 1/2 (* n x))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (+ (* (+ (* (- (/ 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 (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
65.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x 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) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))
58.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x 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) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))
46.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x 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) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))
22.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x 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) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))
17.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x 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) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))

rewrite249.0ms (1.3%)

Memory

26.4MiB live, 116.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	855	7154
0	904	6388
0	6326	6163
1	16237	6163

Stop Event

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

Counts

236 → 385

Calls

Call 1

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

eval66.0ms (0.3%)

Memory: -1.5MiB live, 47.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 198 to 2 311 computations (62.7% saved)

prune66.0ms (0.3%)

Memory

-0.6MiB live, 45.4MiB allocated; 4ms collecting garbage

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	336	17	353
Fresh	10	14	24
Picked	4	1	5
Done	0	5	5
Total	350	37	387

Accuracy

99.9%

Counts

387 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
	33.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	6.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	42.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	26.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)) n))
✓	60.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	52.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
	51.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) x))) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- ( -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (- ( -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
	51.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (.f64 #s(literal -1 binary64) (.f64 (-.f64 (neg.f64 #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n))
	31.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	51.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (log.f64 x))) n))
	42.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)))) n))
✓	45.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	50.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
	51.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))))))
	51.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 #s(approx (/ (- ( 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)))
	27.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg.f64 (log.f64 x))) (neg.f64 (log.f64 x))) n)))
	50.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
✓	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) n)) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n x)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) n))) x)))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(approx (- (/ 1 n) (/ 1/2 (* n x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
	17.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(approx (- (/ 1 n) (/ 1/2 (* n x))) (/.f64 #s(literal -1/2 binary64) (*.f64 n x))) x)))
	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓	44.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))
	27.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) #s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))))
	30.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) #s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))))
	19.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) #s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) n)))))
	26.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (pow.f64 x (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))))
	52.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (.f64 (.f64 (log.f64 x) (/.f64 (log.f64 x) (*.f64 n x))) #s(literal 1/2 binary64))) n)) (/.f64 #s(literal 1 binary64) x)) n))))
	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(approx (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (.f64 (*.f64 n n) n) x)) #s(literal 1/2 binary64)))))

Compiler

Compiled 2 119 to 1 464 computations (30.9% saved)

regimes84.0ms (0.4%)

Memory

-18.7MiB live, 121.4MiB allocated; 17ms collecting garbage

Counts

74 → 3

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 #s(approx (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (.f64 x x)))))) x)) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))

Outputs

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

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

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

Calls

4 calls:

23.0ms	(/.f64 #s(literal 1 binary64) n)
22.0ms	x
21.0ms	n
12.0ms	(-.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
83.9%	4	`(/.f64 #s(literal 1 binary64) n)`
78.7%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
91.8%	3	`x`
83.9%	5	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes22.0ms (0.1%)

Memory

26.6MiB live, 73.2MiB allocated; 2ms collecting garbage

Counts

70 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
90.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.1%)

Memory

-6.5MiB live, 40.5MiB allocated; 1ms collecting garbage

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

12.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
77.5%	6	`(/.f64 #s(literal 1 binary64) n)`
81.6%	3	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes12.0ms (0.1%)

Memory

-29.6MiB live, 16.0MiB allocated; 4ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
81.4%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.1%)

Memory

40.8MiB live, 40.9MiB allocated; 0ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.4%	4	`(/.f64 #s(literal 1 binary64) n)`
69.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
68.4%	4	`n`
62.0%	5	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes20.0ms (0.1%)

Memory

-23.5MiB live, 25.2MiB allocated; 7ms collecting garbage

Counts

16 → 4

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n

Results

Accuracy	Segments	Branch
61.3%	4	`n`
60.7%	4	`(/.f64 #s(literal 1 binary64) n)`
50.8%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes11.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.3%	3	`x`
48.0%	3	`(/.f64 #s(literal 1 binary64) n)`
47.2%	2	`n`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes8.0ms (0%)

Memory

-38.5MiB live, 7.4MiB allocated; 5ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
56.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
44.6%	1	`n`
44.6%	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)))`
46.5%	2	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
44.6%	1	`(/.f64 #s(literal 1 binary64) n)`
44.6%	1	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes4.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.0%	1	`x`
44.0%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
44.0%	1	`n`
44.0%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch63.0ms (0.3%)

Memory

-7.1MiB live, 83.8MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	645.025539562099	4464.357956406817
31.0ms	6.215910600482524e-43	5.288421130551335e-41

Samples

23.0ms	108×	1	valid
14.0ms	40×	2	valid
12.0ms	60×	0	valid
1.0ms	16×	0	exit

Compiler

Compiled 1 053 to 894 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 27.0ms (75.7% of total)

adjust: 5.0ms (14% of total)

ival-div!: 2.0ms (5.6% of total)

ival-add!: 1.0ms (2.8% of total)

ival-sub!: 1.0ms (2.8% of total)

bsearch45.0ms (0.2%)

Memory

4.6MiB live, 50.3MiB allocated; 33ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.00551872588563058	645.025539562099

Samples

9.0ms	29×	2	valid
8.0ms	51×	1	valid
5.0ms	64×	0	valid
0.0ms	5×	0	exit

Compiler

Compiled 322 to 319 computations (0.9% saved)

Precisions

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

ival-pow: 13.0ms (71.5% of total)

adjust: 2.0ms (11% of total)

ival-div!: 2.0ms (11% of total)

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

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

bsearch67.0ms (0.3%)

Memory

14.0MiB live, 105.2MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	7.277693473636827e+236	8.020614503113697e+237
28.0ms	2.195067191118438e-5	0.00551872588563058

Samples

29.0ms	84×	2	valid
12.0ms	35×	1	valid
7.0ms	89×	0	valid
1.0ms	14×	0	exit

Compiler

Compiled 588 to 579 computations (1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 26.0ms (72.1% of total)

adjust: 5.0ms (13.9% of total)

ival-div!: 2.0ms (5.5% of total)

ival-add!: 1.0ms (2.8% of total)

ival-sub!: 1.0ms (2.8% of total)

bsearch24.0ms (0.1%)

Memory

-3.7MiB live, 42.4MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.277693473636827e+236	8.020614503113697e+237
22.0ms	0.00551872588563058	645.025539562099

Samples

5.0ms	31×	1	valid
5.0ms	15×	2	valid
3.0ms	34×	0	valid
1.0ms	11×	0	exit

Compiler

Compiled 649 to 640 computations (1.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 8.0ms (76.1% of total)

adjust: 1.0ms (9.5% of total)

ival-div!: 1.0ms (9.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0018754851078400803	1.0
0.0ms	-inf	-8.68611263957668e+18

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch317.0ms (1.6%)

Memory

35.2MiB live, 347.8MiB allocated; 69ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
138.0ms	1.4187060218429418e+174	1.5440885703242823e+183
144.0ms	8.119418666844599e-102	6.952369611274414e-97
28.0ms	-15.980319027866832	-5.765194263865659e-5

Samples

164.0ms	232×	1	valid
107.0ms	88×	2	valid
9.0ms	112×	0	valid
7.0ms	94×	0	exit

Compiler

Compiled 1 240 to 1 237 computations (0.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-pow: 245.0ms (90.3% of total)

adjust: 11.0ms (4.1% of total)

ival-div!: 10.0ms (3.7% of total)

ival-add!: 3.0ms (1.1% of total)

ival-sub!: 3.0ms (1.1% of total)

bsearch2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.277693473636827e+236	8.020614503113697e+237
1.0ms	2.195067191118438e-5	0.00551872588563058

Compiler

Compiled 544 to 535 computations (1.7% saved)

bsearch14.0ms (0.1%)

Memory

-41.9MiB live, 2.7MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.277693473636827e+236	8.020614503113697e+237
1.0ms	2.195067191118438e-5	0.00551872588563058

Compiler

Compiled 551 to 542 computations (1.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.277693473636827e+236	8.020614503113697e+237

Compiler

Compiled 292 to 283 computations (3.1% saved)

derivations252.0ms (1.3%)

Memory

-7.3MiB live, 106.4MiB allocated; 41ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 241 to 162 computations (32.8% saved)

preprocess125.0ms (0.6%)

Memory: 25.1MiB live, 171.8MiB allocated; 60ms collecting garbage
Compiler: Compiled 252 to 170 computations (32.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze294.0ms (1.5%)

sample16.2s (81.8%)

preprocess79.0ms (0.4%)

series62.0ms (0.3%)

rewrite148.0ms (0.7%)

eval7.0ms (0%)

prune10.0ms (0.1%)

series338.0ms (1.7%)

rewrite404.0ms (2%)

eval72.0ms (0.4%)

prune24.0ms (0.1%)

series156.0ms (0.8%)

rewrite206.0ms (1%)

eval39.0ms (0.2%)

prune29.0ms (0.1%)

series230.0ms (1.2%)

rewrite249.0ms (1.3%)

eval66.0ms (0.3%)

prune66.0ms (0.3%)

regimes84.0ms (0.4%)

regimes22.0ms (0.1%)

regimes23.0ms (0.1%)

regimes12.0ms (0.1%)

regimes22.0ms (0.1%)

regimes20.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch63.0ms (0.3%)

bsearch45.0ms (0.2%)

bsearch67.0ms (0.3%)

bsearch24.0ms (0.1%)

bsearch0.0ms (0%)

bsearch317.0ms (1.6%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

derivations252.0ms (1.3%)

preprocess125.0ms (0.6%)

end0.0ms (0%)

Profiling