Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze276.0ms (1.3%)

Memory

-54.8MiB live, 160.2MiB allocated; 134ms 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)

sample15.8s (76.8%)

Memory

159.7MiB live, 13 862.6MiB allocated; 4.2s collecting garbage

Samples

10.8s	5 834×	5	exit
1.5s	2 973×	2	valid
1.0s	2 745×	1	valid
380.0ms	2 538×	0	valid
222.0ms	1 074×	1	exit
171.0ms	1 516×	0	exit
156.0ms	153×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 13.4s

ival-pow: 10.9s (81.6% of total)

adjust: 1.5s (11.2% of total)

ival-div!: 550.0ms (4.1% of total)

ival-sub!: 246.0ms (1.8% of total)

ival-add!: 169.0ms (1.3% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess184.0ms (0.9%)

Memory

-14.8MiB live, 30.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series47.0ms (0.2%)

Memory

25.8MiB live, 70.3MiB allocated; 5ms collecting garbage

Counts

8 → 49

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (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
24.0ms	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)))
11.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
8.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
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)))

rewrite153.0ms (0.7%)

Memory

-8.1MiB live, 174.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2145
0	313	1885
1	2044	1872
0	8382	1753

Stop Event

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

Counts

57 → 98

Calls

Call 1

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

eval10.0ms (0.1%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 552 to 487 computations (68.6% saved)

prune21.0ms (0.1%)

Memory

-26.0MiB live, 27.4MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	75	17	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	17	93

Accuracy

99.2%

Counts

93 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.5%	(/.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)))))
	15.8%	(/.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))))
	25.9%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
▶	18.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	29.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))))
▶	15.3%	(-.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)))
	19.8%	(-.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)))
	28.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	35.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.0%	#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))
	27.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #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))
▶	28.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #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))
▶	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	57.1%	#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)))
	72.0%	#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)))
▶	75.0%	#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)))
	70.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))

Compiler

Compiled 1 022 to 804 computations (21.3% saved)

series340.0ms (1.7%)

Memory

23.7MiB live, 432.9MiB allocated; 113ms collecting garbage

Counts

70 → 472

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
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rewrite505.0ms (2.5%)

Memory

39.8MiB live, 456.4MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2937	36347
0	3061	33388
0	12891	31116

Stop Event

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

Counts

542 → 632

Calls

Call 1

Inputs
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (log x) x)) (+ (* -1/6 (/ (pow (log x) 2) (pow x 2))) (+ (* 1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) (pow x 2)))))) (* 1/6 (/ 1 (pow x 2)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* 1/3 (/ (log x) (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (* 1/3 (/ 1 (pow x 2)))) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) (pow x 2))) (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/18 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (log x) (pow x 2))) (* 1/4 (/ (pow (log x) 2) x)))))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/6 (/ (pow (log x) 2) (pow x 2))) (+ (* 1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) (pow x 2))))))) (* 1/6 (/ 1 (pow x 2)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* 1/3 (/ (log x) (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (* 1/3 (/ 1 (pow x 2)))) n))))
#s(approx (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))))
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#s(approx (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (log x) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2)))) n))))
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#s(approx (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* n (pow x 2)))) (* 1/3 (/ 1 (pow x 2)))) n))))
#s(approx (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2)))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (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))))

Outputs
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x
#s(literal 3 binary64)
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(log.f64 x)
n
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#s(approx (pow (log (+ 1 x)) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
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#s(approx (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)))
#s(approx (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)))
#s(approx (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal 1/18 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 x) (.f64 x x))))) n) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (.f64 x x))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) n)))
#s(approx (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)))
#s(approx (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)) (.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) (.f64 n (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n))) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))) n)) #s(literal 1 binary64)) n)))

eval162.0ms (0.8%)

Memory: 20.9MiB live, 201.7MiB allocated; 35ms collecting garbage
Compiler: Compiled 24 536 to 6 040 computations (75.4% saved)

prune187.0ms (0.9%)

Memory

-53.7MiB live, 79.2MiB allocated; 128ms collecting garbage

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	576	24	600
Fresh	6	6	12
Picked	3	2	5
Done	0	0	0
Total	585	32	617

Accuracy

99.7%

Counts

617 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.5%	(/.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)))))
	15.8%	(/.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))))
✓	18.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	22.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	10.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	13.3%	(-.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)))
	35.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	62.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))) n))
✓	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	57.1%	#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)))
▶	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
	40.8%	#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))
	34.4%	#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))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.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))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	62.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n)))
▶	72.0%	#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)))
	32.3%	#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)) #s(approx ( 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))) x))) x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 n n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n x)))))
	40.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.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)))
▶	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))))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (/.f64 #s(literal 1 binary64) n)) x))))
	40.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (.f64 n (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 #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))))) (.f64 (*.f64 n n) n))))
▶	42.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))))

Compiler

Compiled 2 246 to 1 858 computations (17.3% saved)

series276.0ms (1.3%)

Memory

17.1MiB live, 478.4MiB allocated; 81ms collecting garbage

Counts

70 → 500

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
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46.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 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 x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) 1/3 (/ 1 (* x x)) (* x x) (* 1/2 (/ 1 x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* n n) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n)) 1/6 (pow (/ (log x) n) 3))
41.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 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 x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) 1/3 (/ 1 (* x x)) (* x x) (* 1/2 (/ 1 x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* n n) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n)) 1/6 (pow (/ (log x) n) 3))
38.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) (log (+ 1 x)) (+ 1 x) 1 x 4 (pow (log x) 4) (log x) n (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (* 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 x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/3 (/ 1 (* x x))) 1/3 (/ 1 (* x x)) (* x x) (* 1/2 (/ 1 x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (* -1/2 (/ (* (log x) (log x)) (* n n))) -1/2 (/ (* (log x) (log x)) (* n n)) (* n n) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n)) 1/6 (pow (/ (log x) n) 3))
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rewrite377.0ms (1.8%)

Memory

3.7MiB live, 378.2MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3390	49313
0	3492	45209
0	8939	41508

Stop Event

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

Counts

570 → 633

Calls

Call 1

Inputs
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Outputs
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x
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n
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#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) x)))
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#s(approx (neg (log (+ 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
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#s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) n)))
#s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (log.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (.f64 x x))))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) n)))
#s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/18 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) x))))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (log.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)))))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) n)))
#s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)) (neg.f64 (log.f64 x))) n)))
#s(approx (- (* -1/2 (/ (* (log x) (log x)) (* n n))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n)) (neg.f64 (log.f64 x))) n)))
#s(approx (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))) n)))

eval124.0ms (0.6%)

Memory: 10.3MiB live, 144.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 30 610 to 6 858 computations (77.6% saved)

prune41.0ms (0.2%)

Memory

31.8MiB live, 76.1MiB allocated; 5ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	556	14	570
Fresh	10	15	25
Picked	2	3	5
Done	0	2	2
Total	568	34	602

Accuracy

99.7%

Counts

602 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.5%	(/.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)))))
	15.8%	(/.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))))
✓	18.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	22.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	28.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	10.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	35.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	62.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))) n))
✓	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	57.1%	#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)))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
▶	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (-.f64 x #s(literal 1/2 binary64)))) (.f64 x x))) n)) x))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n)) x))
	40.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)))) n)) x))
▶	36.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1 binary64) n))) x))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))))) x))
	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))
	34.4%	#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))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	62.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n)))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) (.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 n n) n)))))) (log.f64 x)) n)))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
▶	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
	14.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 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 -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 n n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64)))))) (*.f64 n x))))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 n n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n 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))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 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 1/24 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))) (.f64 n (-.f64 (.f64 n (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 #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))))))) (pow.f64 n #s(literal 4 binary64)))))
✓	42.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))))
▶	28.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 (-.f64 (.f64 n (fma.f64 #s(literal -1 binary64) (.f64 n (log.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (log.f64 x))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (*.f64 n n) n)))))
	41.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)) (log.f64 x)) n))))
	26.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))))

Compiler

Compiled 2 987 to 2 355 computations (21.2% saved)

series157.0ms (0.8%)

Memory

-0.4MiB live, 239.7MiB allocated; 20ms collecting garbage

Counts

51 → 261

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
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20.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/ (+ 1/3 (* x (- x 1/2))) (* x x)) (+ 1/3 (* x (- x 1/2))) 1/3 (* x (- x 1/2)) (- x 1/2) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/ (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (* (* n n) n)) (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x)))) -1 (* n (log x)) (log x) (* -1/2 (* (log x) (log x))) -1/2 (* (log x) (log x)) (* 1/6 (pow (log x) 3)) 1/6 (pow (log x) 3) 3 (* (* n n) n) (* n n))
16.0ms	x	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/ (+ 1/3 (* x (- x 1/2))) (* x x)) (+ 1/3 (* x (- x 1/2))) 1/3 (* x (- x 1/2)) (- x 1/2) 1/2 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/ (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (* (* n n) n)) (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x)))) -1 (* n (log x)) (log x) (* -1/2 (* (log x) (log x))) -1/2 (* (log x) (log x)) (* 1/6 (pow (log x) 3)) 1/6 (pow (log x) 3) 3 (* (* n n) n) (* n n))
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rewrite228.0ms (1.1%)

Memory

-4.2MiB live, 231.8MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1843	25064
0	1894	23276
0	8218	21630

Stop Event

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

Counts

312 → 357

Calls

Call 1

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

eval50.0ms (0.2%)

Memory: 12.1MiB live, 56.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 159 to 2 632 computations (81.4% saved)

prune58.0ms (0.3%)

Memory

-37.7MiB live, 55.0MiB allocated; 6ms collecting garbage

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	289	8	297
Fresh	4	20	24
Picked	1	4	5
Done	0	5	5
Total	294	37	331

Accuracy

99.7%

Counts

331 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.5%	(/.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)))))
	15.8%	(/.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))))
✓	18.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	22.6%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	28.7%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	10.1%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	35.3%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	62.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))) n))
✓	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
	57.1%	#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)))
	57.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
✓	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (-.f64 x #s(literal 1/2 binary64)))) (.f64 x x))) n)) x))
	28.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (-.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) n)) x))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (/.f64 #s(approx (+ 1/3 (* x (- x 1/2))) #s(literal 1/3 binary64)) (*.f64 x x))) n)) x))
	24.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 #s(approx (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) n)) x))
✓	36.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1 binary64) n))) x))
	39.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (* x x)))) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- (+ 1 (* 1/3 (/ 1 (* x x)))) (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))))) x))
	34.4%	#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))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
	34.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
	62.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n)))
	43.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n) (.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 n n) n)))))) (log.f64 x)) n)))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
✓	63.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	36.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(approx (log (/ x (+ 1 x))) (/.f64 #s(literal -1 binary64) x))) n)))
	46.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
	14.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 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 -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 n n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64)))))) (*.f64 n x))))))
	41.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 n n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n 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))))
	33.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (+ (neg (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* 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 1/24 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))) (.f64 n (-.f64 (.f64 n (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 #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))))))) (pow.f64 n #s(literal 4 binary64)))))
✓	42.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))))
	27.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 (-.f64 (.f64 n #s(approx (+ ( -1 (* n (log x))) (* -1/2 (* (log x) (log x)))) (.f64 #s(literal -1 binary64) (.f64 n (log.f64 x))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (*.f64 n n) n)))))
	41.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)) (log.f64 x)) n))))
	15.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 #s(approx (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (.f64 (.f64 n n) (+.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n))))) (.f64 (.f64 n n) n)))))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 #s(approx (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (*.f64 n n) n)))))
	16.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (/.f64 #s(approx (- (* n (+ (* -1 (* n (log x))) (* -1/2 (* (log x) (log x))))) (* 1/6 (pow (log x) 3))) (.f64 #s(literal -1 binary64) (.f64 (.f64 n n) (log.f64 x)))) (.f64 (*.f64 n n) n)))))
	26.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 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))) (+ (* 1/6 (pow (/ (log x) n) 3)) (/ (log x) n))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))))

Compiler

Compiled 3 525 to 2 050 computations (41.8% saved)

regimes75.0ms (0.4%)

Memory

26.3MiB live, 77.2MiB allocated; 7ms collecting garbage

Counts

64 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

25.0ms	(/.f64 #s(literal 1 binary64) n)
16.0ms	n
16.0ms	x
12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
84.7%	3	`(/.f64 #s(literal 1 binary64) n)`
84.0%	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)))`
87.5%	2	`x`
85.2%	4	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes22.0ms (0.1%)

Memory

-11.2MiB live, 34.3MiB allocated; 4ms collecting garbage

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
86.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes30.0ms (0.1%)

Memory

17.3MiB live, 62.5MiB allocated; 5ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	x

Results

Accuracy	Segments	Branch
86.0%	4	`(/.f64 #s(literal 1 binary64) n)`
83.0%	2	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes27.0ms (0.1%)

Memory

5.5MiB live, 52.2MiB allocated; 1ms collecting garbage

Counts

43 → 4

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
86.0%	4	`(/.f64 #s(literal 1 binary64) n)`
81.7%	2	`x`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes20.0ms (0.1%)

Memory

-20.1MiB live, 27.9MiB allocated; 9ms collecting garbage

Counts

40 → 5

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
87.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes35.0ms (0.2%)

Memory

16.0MiB live, 60.7MiB allocated; 6ms collecting garbage

Counts

38 → 5

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	n

Results

Accuracy	Segments	Branch
86.4%	6	`n`
81.5%	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)))`
86.4%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes23.0ms (0.1%)

Memory

-7.8MiB live, 36.9MiB allocated; 7ms collecting garbage

Counts

29 → 5

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)

Results

Accuracy	Segments	Branch
75.5%	2	`x`
86.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 4 to 6 computations (-50% saved)

regimes10.0ms (0%)

Memory

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

Counts

28 → 4

Calls

Call 1

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
83.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory

-25.3MiB live, 19.5MiB allocated; 5ms collecting garbage

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
83.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes34.0ms (0.2%)

Memory

-6.1MiB live, 41.2MiB allocated; 16ms collecting garbage

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n
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
81.3%	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)))`
76.9%	5	`n`
75.4%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes11.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	x
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
66.7%	3	`x`
76.4%	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 12 to 10 computations (16.7% saved)

regimes5.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
76.4%	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)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
76.4%	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)

regimes16.0ms (0.1%)

Memory

-19.9MiB live, 25.4MiB allocated; 5ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
65.5%	3	`x`
62.2%	5	`n`
62.2%	5	`(/.f64 #s(literal 1 binary64) n)`
47.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory

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

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

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

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.4%	5	`n`
47.4%	5	`(/.f64 #s(literal 1 binary64) n)`
56.7%	2	`x`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes11.0ms (0.1%)

Memory

-29.4MiB live, 16.0MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

6.0ms	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
36.0%	1	`n`
36.0%	1	`(/.f64 #s(literal 1 binary64) n)`
36.0%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
36.0%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.7%	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)))`
35.7%	1	`x`
35.7%	1	`n`
35.7%	1	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch21.0ms (0.1%)

Memory

-17.8MiB live, 27.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	34042.166146939206	51093.64186691417

Samples

6.0ms	21×	2	valid
4.0ms	23×	1	valid
1.0ms	20×	0	valid
0.0ms	4×	0	exit

Compiler

Compiled 416 to 325 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 7.0ms (71.5% of total)

adjust: 1.0ms (10.2% of total)

ival-div!: 1.0ms (10.2% of total)

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

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

bsearch17.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.5561590925220464	1.3090174562948151

Samples

5.0ms	19×	2	valid
4.0ms	28×	1	valid
2.0ms	33×	0	valid

Compiler

Compiled 596 to 468 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 7.0ms (69.7% of total)

adjust: 1.0ms (10% of total)

ival-div!: 1.0ms (10% of total)

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

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

bsearch437.0ms (2.1%)

Memory

-84.4MiB live, 15.2MiB allocated; 929ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
436.0ms	0.5561590925220464	1.3090174562948151

Samples

428.0ms	11×	2	valid
3.0ms	19×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 596 to 463 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 431.0ms

ival-pow: 430.0ms (99.7% of total)

adjust: 1.0ms (0.2% of total)

ival-div!: 1.0ms (0.2% of total)

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-1.2993416617602626e-10	-4.149146942229141e-12

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3157555958632088e+108	8.985402470850483e+109
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-1.2993416617602626e-10	-4.149146942229141e-12

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3157555958632088e+108	8.985402470850483e+109
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-3.52828729391093e-25	-5.172437754091702e-31

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3157555958632088e+108	8.985402470850483e+109
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-3.52828729391093e-25	-5.172437754091702e-31

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-3.52828729391093e-25	-5.172437754091702e-31

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0034148629856248e-14	1.1110211425287972e-14
0.0ms	3.142216602607968e-62	3.658862834464014e-58
0.0ms	-3.52828729391093e-25	-5.172437754091702e-31

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8733682100323676e-12	2.8874095447939396e-8
0.0ms	-7.865356788094857e-8	-1.2180936259653663e-9

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8874095447939396e-8	1.0
0.0ms	-inf	-134.50679955194022

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8874095447939396e-8	1.0
0.0ms	-inf	-134.50679955194022

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8874095447939396e-8	1.0
0.0ms	-inf	-134.50679955194022

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch74.0ms (0.4%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	8.322737558454134e+150	4.5523783028203865e+160
22.0ms	0.00042752157609691766	0.0161903684036662

Samples

38.0ms	111×	2	valid
10.0ms	57×	1	valid
7.0ms	104×	0	valid
1.0ms	17×	0	exit

Compiler

Compiled 1 799 to 1 418 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow: 35.0ms (73.5% of total)

adjust: 7.0ms (14.7% of total)

ival-div!: 3.0ms (6.3% of total)

ival-add!: 1.0ms (2.1% of total)

ival-sub!: 1.0ms (2.1% of total)

bsearch3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	8.322737558454134e+150	4.5523783028203865e+160
1.0ms	0.00042752157609691766	0.0161903684036662

Compiler

Compiled 1 809 to 1 428 computations (21.1% saved)

bsearch10.0ms (0%)

Memory

-72.1MiB live, 6.6MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.322737558454134e+150	4.5523783028203865e+160
1.0ms	0.00042752157609691766	0.0161903684036662

Compiler

Compiled 1 802 to 1 421 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00042752157609691766	0.0161903684036662

Compiler

Compiled 562 to 461 computations (18% saved)

derivations451.0ms (2.2%)

Memory

27.5MiB live, 499.3MiB allocated; 48ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 542 to 264 computations (51.3% saved)

preprocess198.0ms (1%)

Memory: 0.9MiB live, 450.9MiB allocated; 119ms collecting garbage
Compiler: Compiled 553 to 272 computations (50.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze276.0ms (1.3%)

sample15.8s (76.8%)

preprocess184.0ms (0.9%)

series47.0ms (0.2%)

rewrite153.0ms (0.7%)

eval10.0ms (0.1%)

prune21.0ms (0.1%)

series340.0ms (1.7%)

rewrite505.0ms (2.5%)

eval162.0ms (0.8%)

prune187.0ms (0.9%)

series276.0ms (1.3%)

rewrite377.0ms (1.8%)

eval124.0ms (0.6%)

prune41.0ms (0.2%)

series157.0ms (0.8%)

rewrite228.0ms (1.1%)

eval50.0ms (0.2%)

prune58.0ms (0.3%)

regimes75.0ms (0.4%)

regimes22.0ms (0.1%)

regimes30.0ms (0.1%)

regimes27.0ms (0.1%)

regimes20.0ms (0.1%)

regimes35.0ms (0.2%)

regimes23.0ms (0.1%)

regimes10.0ms (0%)

regimes14.0ms (0.1%)

regimes34.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes16.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

bsearch21.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch437.0ms (2.1%)

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%)

bsearch74.0ms (0.4%)

bsearch3.0ms (0%)

bsearch10.0ms (0%)

bsearch1.0ms (0%)

derivations451.0ms (2.2%)

preprocess198.0ms (1%)

end0.0ms (0%)

Profiling