Metrics for 2nthrt (problem 3.4.6)

start10.0ms (0.1%)

Memory: -44.6MiB live, 0.1MiB allocated; 10ms collecting garbage

analyze187.0ms (1%)

Memory

23.2MiB live, 261.2MiB allocated; 25ms 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)

sample15.6s (81.6%)

Memory

218.9MiB live, 16 942.0MiB allocated; 4.2s collecting garbage

Samples

10.7s	5 799×	5	exit
1.5s	2 932×	2	valid
948.0ms	2 761×	1	valid
822.0ms	1 048×	1	exit
266.0ms	2 563×	0	valid
154.0ms	149×	4	exit
139.0ms	1 513×	0	exit
2.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 13.1s

ival-pow: 10.6s (81.3% of total)

adjust: 1.7s (13% of total)

ival-div!: 398.0ms (3% of total)

ival-add!: 178.0ms (1.4% of total)

ival-sub!: 170.0ms (1.3% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess56.0ms (0.3%)

Memory

-31.4MiB live, 11.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(-.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)

series73.0ms (0.4%)

Memory

5.4MiB live, 118.2MiB allocated; 26ms collecting garbage

Counts

8 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	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)))
21.0ms	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)))
9.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
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)))
1.0ms	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)))

rewrite186.0ms (1%)

Memory

25.4MiB live, 210.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

63 → 102

Calls

Call 1

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

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

eval13.0ms (0.1%)

Memory: -16.5MiB live, 26.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 595 to 509 computations (68.1% saved)

prune9.0ms (0%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Accuracy

99.8%

Counts

104 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶	14.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶	19.1%	(-.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)))
▶	24.2%	(-.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)))
	37.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	36.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	32.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.7%	#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)))
▶	66.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))

Compiler

Compiled 470 to 384 computations (18.3% saved)

series257.0ms (1.3%)

Memory

-19.0MiB live, 271.6MiB allocated; 36ms collecting garbage

Counts

50 → 357

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 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) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3)
59.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 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) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3)
48.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 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) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3)
31.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 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) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3)
23.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 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) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3)

rewrite208.0ms (1.1%)

Memory

18.0MiB live, 251.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1677	16487
0	1763	15324
0	8291	14386

Stop Event

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

Counts

407 → 487

Calls

Call 1

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

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

eval108.0ms (0.6%)

Memory: 4.2MiB live, 270.8MiB allocated; 48ms collecting garbage
Compiler: Compiled 13 034 to 4 343 computations (66.7% saved)

prune45.0ms (0.2%)

Memory

-16.9MiB live, 87.1MiB allocated; 24ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	534	18	552
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	540	22	562

Accuracy

99.9%

Counts

562 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	14.7%	(-.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)))
	37.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	36.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
✓	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
▶	59.7%	#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)))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
▶	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	37.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
▶	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))))
	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
	33.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) 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)))
	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	47.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) (.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (.f64 n n))))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
▶	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (/.f64 (log.f64 x) n))))

Compiler

Compiled 1 167 to 1 022 computations (12.4% saved)

series130.0ms (0.7%)

Memory

-3.2MiB live, 284.6MiB allocated; 17ms collecting garbage

Counts

39 → 197

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
26.0ms	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)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* (log x) (log x)) (* n n) (/ (log x) 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)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* (log x) (log x)) (* n n) (/ (log x) n))
21.0ms	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)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* (log x) (log x)) (* n n) (/ (log x) n))
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18.0ms	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)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* (log x) (log x)) (* n n) (/ (log x) n))

rewrite228.0ms (1.2%)

Memory

-14.4MiB live, 203.2MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	7852
0	977	6766
1	5907	6688
0	8054	6265

Stop Event

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

Counts

236 → 348

Calls

Call 1

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

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

eval39.0ms (0.2%)

Memory: 11.0MiB live, 63.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 654 to 1 960 computations (65.3% saved)

prune26.0ms (0.1%)

Memory

-3.2MiB live, 44.0MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	305	23	328
Fresh	12	4	16
Picked	4	1	5
Done	0	1	1
Total	321	29	350

Accuracy

99.9%

Counts

350 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	8.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	37.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 x) n)) (*.f64 n x)))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
▶	61.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
✓	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	37.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(approx (- 1 (* 1/2 (/ 1 x))) #s(literal 1 binary64)) x)) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) n))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
▶	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))))
▶	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 ( -1 (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(approx (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) (/.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 n n) x))))))
▶	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
	44.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
	31.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n))) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 (log.f64 x) n)))))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/.f64 (fma.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64) (neg.f64 (.f64 (log.f64 x) n))) (*.f64 n n)))))
▶	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)) (log.f64 x)) n))))

Compiler

Compiled 1 553 to 1 345 computations (13.4% saved)

series192.0ms (1%)

Memory

21.2MiB live, 296.4MiB allocated; 44ms collecting garbage

Counts

39 → 211

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1 n) (/ 1/2 (* n x)) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/ (/ (+ (log x) n) x) (* n n)) (/ (+ (log x) n) x) (+ (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/ (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) n) (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) (* (/ (* (log x) (log x)) n) -1/2) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2)
38.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1 n) (/ 1/2 (* n x)) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/ (/ (+ (log x) n) x) (* n n)) (/ (+ (log x) n) x) (+ (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/ (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) n) (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) (* (/ (* (log x) (log x)) n) -1/2) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2)
29.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1 n) (/ 1/2 (* n x)) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/ (/ (+ (log x) n) x) (* n n)) (/ (+ (log x) n) x) (+ (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/ (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) n) (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) (* (/ (* (log x) (log x)) n) -1/2) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2)
26.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1 n) (/ 1/2 (* n x)) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/ (/ (+ (log x) n) x) (* n n)) (/ (+ (log x) n) x) (+ (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/ (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) n) (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) (* (/ (* (log x) (log x)) n) -1/2) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2)
16.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (/ (log x) n) (log x) x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1 n) (/ 1/2 (* n x)) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/ (/ (+ (log x) n) x) (* n n)) (/ (+ (log x) n) x) (+ (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/ (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) n) (- (* (/ (* (log x) (log x)) n) -1/2) (log x)) (* (/ (* (log x) (log x)) n) -1/2) (/ (* (log x) (log x)) n) (* (log x) (log x)) -1/2)

rewrite224.0ms (1.2%)

Memory

-2.4MiB live, 242.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	8208
0	974	7240
1	5599	7164
0	8631	6780

Stop Event

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

Counts

250 → 354

Calls

Call 1

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

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

eval63.0ms (0.3%)

Memory: -13.8MiB live, 77.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 839 to 2 271 computations (61.1% saved)

prune49.0ms (0.3%)

Memory

9.7MiB live, 57.1MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	327	9	336
Fresh	8	14	22
Picked	2	3	5
Done	0	2	2
Total	337	28	365

Accuracy

99.9%

Counts

365 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	37.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	15.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
✓	31.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
	61.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log.f64 x) n)) n) x))
✓	61.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
	37.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x))
	37.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) n) x))
✓	60.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	59.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
	37.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(approx (- 1 (* 1/2 (/ 1 x))) #s(literal 1 binary64)) x)) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
	44.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	32.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	31.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) n))
	36.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
✓	35.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 ( -1 (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) n) n))))))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 ( -1 (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 #s(approx (+ (log x) n) (log.f64 x)) x) (*.f64 n n)))))))
	37.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 ( -1 (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 #s(approx (+ (log x) n) n) x) (*.f64 n n)))))))
	31.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (neg.f64 #s(approx (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (log.f64 x) n) (.f64 (.f64 n n) x)))))))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(approx (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) (* n x))) (/.f64 (neg.f64 (log.f64 x)) (.f64 (.f64 n n) x))))))
	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) 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)))
	23.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))))
	31.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n))) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 (log.f64 x) n)))))
	34.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/.f64 (fma.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal -1/2 binary64) (neg.f64 (.f64 (log.f64 x) n))) (*.f64 n n)))))
✓	37.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)) (log.f64 x)) n))))

Compiler

Compiled 1 756 to 1 119 computations (36.3% saved)

regimes70.0ms (0.4%)

Memory

-17.8MiB live, 124.1MiB allocated; 13ms collecting garbage

Counts

61 → 3

Calls

Call 1

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

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

Outputs

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

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

Calls

4 calls:

20.0ms	n
16.0ms	(/.f64 #s(literal 1 binary64) n)
15.0ms	x
14.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
88.2%	3	`(/.f64 #s(literal 1 binary64) n)`
85.3%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
78.5%	2	`x`
88.3%	4	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes17.0ms (0.1%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Counts

55 → 3

Calls

Call 1

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

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
88.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes19.0ms (0.1%)

Memory

-8.2MiB live, 37.8MiB allocated; 4ms collecting garbage

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
88.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes21.0ms (0.1%)

Memory

-16.9MiB live, 36.8MiB allocated; 6ms collecting garbage

Counts

52 → 4

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
88.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes19.0ms (0.1%)

Memory

-3.9MiB live, 42.4MiB allocated; 3ms collecting garbage

Counts

51 → 4

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
88.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes17.0ms (0.1%)

Memory

-14.7MiB live, 32.3MiB allocated; 2ms collecting garbage

Counts

50 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
88.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes15.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

49 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
88.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes83.0ms (0.4%)

Memory

-8.3MiB live, 38.6MiB allocated; 2ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

65.0ms	n
9.0ms	(/.f64 #s(literal 1 binary64) n)
7.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
81.9%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
74.2%	6	`n`
73.1%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes14.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
64.3%	3	`x`
78.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes41.0ms (0.2%)

Memory

-35.3MiB live, 14.4MiB allocated; 5ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

39.0ms

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

Results

Accuracy	Segments	Branch
75.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
72.9%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Memory

-5.6MiB live, 38.9MiB allocated; 6ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n
4.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
61.0%	2	`x`
56.3%	5	`n`
56.1%	5	`(/.f64 #s(literal 1 binary64) n)`
45.5%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
60.9%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.7%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-25.6MiB live, 19.9MiB allocated; 4ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) n)
2.0ms	n

Results

Accuracy	Segments	Branch
46.7%	2	`(/.f64 #s(literal 1 binary64) n)`
47.8%	3	`n`
44.8%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
46.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes4.0ms (0%)

Memory

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

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.4%	3	`n`
45.2%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes7.0ms (0%)

Memory

-29.2MiB live, 15.4MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.9%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
31.9%	1	`x`
31.9%	1	`n`
31.9%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7150346782981322e-5	0.0001264104965656147
0.0ms	-1.1752309282388782e-16	-1.2488720588308685e-17

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7150346782981322e-5	0.0001264104965656147
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7150346782981322e-5	0.0001264104965656147
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.4604435329945207e+170	8.755701243925322e+187
0.0ms	1.8076944517886447e-13	1.7150346782981322e-5
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.4604435329945207e+170	8.755701243925322e+187
0.0ms	1.8076944517886447e-13	1.7150346782981322e-5
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.4604435329945207e+170	8.755701243925322e+187
0.0ms	1.7150346782981322e-5	0.0001264104965656147
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.4604435329945207e+170	8.755701243925322e+187
0.0ms	1.7150346782981322e-5	0.0001264104965656147
0.0ms	-1.6867287451492366e-24	-2.072065681688521e-27

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.866029884060708e-11	0.016764401910565163
0.0ms	-inf	-8.215650382226158e-15

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.016764401910565163	1.0
0.0ms	-inf	-8.215650382226158e-15

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.016764401910565163	1.0
0.0ms	-inf	-8.215650382226158e-15

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.016764401910565163	1.0
0.0ms	-inf	-8.215650382226158e-15

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.016764401910565163	1.0
0.0ms	-inf	-8.215650382226158e-15

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch30.0ms (0.2%)

Memory

3.6MiB live, 56.4MiB allocated; 22ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.3219060106401014	3.7403146654922823

Samples

16.0ms	20×	2	valid
4.0ms	52×	0	valid
4.0ms	24×	1	valid
0.0ms	3×	0	exit

Compiler

Compiled 274 to 271 computations (1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow: 18.0ms (84.8% of total)

adjust: 1.0ms (4.7% of total)

ival-div!: 1.0ms (4.7% of total)

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

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

bsearch85.0ms (0.4%)

Memory

-5.5MiB live, 30.9MiB allocated; 26ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
85.0ms	0.3219060106401014	3.7403146654922823

Samples

4.0ms	14×	2	valid
2.0ms	14×	1	valid
2.0ms	20×	0	valid

Compiler

Compiled 268 to 265 computations (1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow: 5.0ms (71.5% of total)

adjust: 1.0ms (14.3% of total)

ival-div!: 1.0ms (14.3% of total)

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

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

bsearch175.0ms (0.9%)

Memory

-2.8MiB live, 140.6MiB allocated; 73ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
91.0ms	1.6449084553359588e+87	2.744742762758087e+87
77.0ms	1.1187248685060047e+45	5.392070751797722e+48
4.0ms	0.3219060106401014	3.7403146654922823

Samples

145.0ms	74×	2	valid
9.0ms	51×	1	valid
6.0ms	83×	0	valid
2.0ms	22×	0	exit

Compiler

Compiled 562 to 559 computations (0.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-add!: 75.0ms (48.4% of total)

ival-pow: 70.0ms (45.2% of total)

adjust: 6.0ms (3.9% of total)

ival-div!: 3.0ms (1.9% of total)

ival-sub!: 1.0ms (0.6% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-596614.1497471312	-0.10911321379618548

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-596614.1497471312	-0.10911321379618548

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-596614.1497471312	-0.10911321379618548

Compiler

Compiled 14 to 14 computations (0% saved)

derivations496.0ms (2.6%)

Memory

44.7MiB live, 467.8MiB allocated; 66ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 361 to 207 computations (42.7% saved)

preprocess260.0ms (1.4%)

Memory: -1.9MiB live, 381.3MiB allocated; 95ms collecting garbage
Compiler: Compiled 372 to 215 computations (42.2% saved)

end0.0ms (0%)

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

start10.0ms (0.1%)

analyze187.0ms (1%)

sample15.6s (81.6%)

preprocess56.0ms (0.3%)

series73.0ms (0.4%)

rewrite186.0ms (1%)

eval13.0ms (0.1%)

prune9.0ms (0%)

series257.0ms (1.3%)

rewrite208.0ms (1.1%)

eval108.0ms (0.6%)

prune45.0ms (0.2%)

series130.0ms (0.7%)

rewrite228.0ms (1.2%)

eval39.0ms (0.2%)

prune26.0ms (0.1%)

series192.0ms (1%)

rewrite224.0ms (1.2%)

eval63.0ms (0.3%)

prune49.0ms (0.3%)

regimes70.0ms (0.4%)

regimes17.0ms (0.1%)

regimes19.0ms (0.1%)

regimes21.0ms (0.1%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes83.0ms (0.4%)

regimes14.0ms (0.1%)

regimes41.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes19.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.2%)

bsearch85.0ms (0.4%)

bsearch175.0ms (0.9%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations496.0ms (2.6%)

preprocess260.0ms (1.4%)

end0.0ms (0%)

Profiling