Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze731.0ms (3.6%)

Memory

-54.8MiB live, 291.3MiB allocated; 722ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	7
45.2%	43.7%	53.1%	0.1%	0%	3.1%	0%	8
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	9
50.8%	46.8%	45.3%	0.1%	0%	7.8%	0%	10
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	11
53.9%	48.4%	41.4%	0.1%	0%	10.1%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample16.0s (78.4%)

Memory

335.8MiB live, 16 416.3MiB allocated; 5.6s collecting garbage

Samples

10.8s	6 061×	5	exit
1.9s	2 819×	1	valid
1.5s	2 863×	2	valid
277.0ms	2 574×	0	valid
173.0ms	149×	4	exit
172.0ms	1 559×	0	exit
149.0ms	1 111×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 14.0s

ival-pow: 11.7s (83.9% of total)

adjust: 1.6s (11.2% of total)

ival-div!: 354.0ms (2.5% of total)

ival-sub!: 178.0ms (1.3% of total)

ival-add!: 147.0ms (1.1% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess73.0ms (0.4%)

Memory

-33.1MiB live, 25.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	63	80
2	124	80
3	337	80
4	2089	80

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series54.0ms (0.3%)

Memory

31.8MiB live, 74.7MiB allocated; 17ms 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)))
17.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
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)))

rewrite176.0ms (0.9%)

Memory

-0.1MiB live, 145.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2145
0	313	1881
1	2790	1870
0	8285	1670

Stop Event

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

Counts

57 → 129

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 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 2 binary64))) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 2 binary64))) (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))))
(neg.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #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 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (exp.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (+.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 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(sqrt.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)) (sinh.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.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)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (/.f64 n #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
n
(*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.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))
(sqrt.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))
(fabs.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fabs.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.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 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (pow x (/ 1 n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (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) (-.f64 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 (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.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) #s(literal 1/2 binary64) (log.f64 (-.f64 x #s(literal -1 binary64)))) (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 (log.f64 (-.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) #s(literal 1/2 binary64)))) (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 x #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 (.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 n n)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) #s(literal 1/2 binary64)))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (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 x #s(literal -1 binary64))) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) n) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))

eval17.0ms (0.1%)

Memory: -17.0MiB live, 28.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 711 to 564 computations (67% saved)

prune8.0ms (0%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Accuracy

99.4%

Counts

123 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
▶	22.4%	(-.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))))
	13.9%	(-.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)))
	23.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.1%	(-.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)))
▶	37.3%	#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))
▶	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
▶	58.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
▶	66.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x)) n)))
	50.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 430 to 370 computations (14% saved)

series306.0ms (1.5%)

Memory

13.9MiB live, 349.1MiB allocated; 171ms collecting garbage

Counts

47 → 281

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
95.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
64.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
56.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
41.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
28.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))

rewrite193.0ms (0.9%)

Memory

3.5MiB live, 191.8MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1549	13288
0	1622	12268
0	8185	11885

Stop Event

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

Counts

328 → 397

Calls

Call 1

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

eval62.0ms (0.3%)

Memory: -4.4MiB live, 84.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 10 074 to 3 057 computations (69.7% saved)

prune26.0ms (0.1%)

Memory

-10.4MiB live, 35.7MiB allocated; 6ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	362	17	379
Fresh	1	4	5
Picked	3	2	5
Done	0	0	0
Total	366	23	389

Accuracy

99.8%

Counts

389 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.4%	(-.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))))
	13.9%	(-.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)))
▶	23.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	31.1%	(-.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)))
	44.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	58.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
▶	30.5%	#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))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	32.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (log.f64 x))) n))
	47.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
▶	63.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
▶	23.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) x)) n)))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (-.f64 (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	50.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) (.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 n n)))))
	23.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (.f64 n x)))))
	30.0%	#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))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 n x))))
▶	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) (.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (.f64 n n))))

Compiler

Compiled 1 392 to 1 100 computations (21% saved)

series366.0ms (1.8%)

Memory

13.2MiB live, 353.4MiB allocated; 125ms collecting garbage

Counts

57 → 435

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
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rewrite516.0ms (2.5%)

Memory

24.0MiB live, 438.9MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2850	71244
0	2936	59132
0	12282	54757

Stop Event

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

Counts

492 → 560

Calls

Call 1

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

Outputs
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#s(literal 1/2 binary64)
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#s(approx (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (-.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 #s(literal -1/2 binary64) (.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (-.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 3 binary64)) n))) n))) n) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (-.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 #s(literal 1/2 binary64) (.f64 (log.f64 x) (-.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) (fma.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 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (-.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 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64)) n))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (-.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) (fma.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 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 (+.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))) n)) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (log.f64 x) x))) n) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) x) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) x) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 x x)))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.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)) (.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) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) 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)) (.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) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) n))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) n) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) n))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)))
#s(approx (pow 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))))

eval121.0ms (0.6%)

Memory: 14.0MiB live, 197.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 52 459 to 5 313 computations (89.9% saved)

prune74.0ms (0.4%)

Memory

-36.0MiB live, 28.2MiB allocated; 21ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	499	13	512
Fresh	3	13	16
Picked	4	1	5
Done	0	2	2
Total	506	29	535

Accuracy

99.9%

Counts

535 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.4%	(-.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))))
	13.9%	(-.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)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	31.1%	(-.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)))
	44.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	58.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	30.5%	#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))) n)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
	21.4%	#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))) n)) (/.f64 #s(approx (- 1 (* 1/2 (/ 1 x))) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
▶	21.4%	#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))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)))) x))
▶	30.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	32.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (log.f64 x))) n))
	47.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
	61.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 #s(approx (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 3 binary64)) (.f64 n (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))))) (.f64 n (fma.f64 #s(literal -1 binary64) (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 (.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 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (-.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 (fma.f64 #s(literal -1 binary64) (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))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (-.f64 (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
▶	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	23.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) x)) n)))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) #s(approx (/ (+ 1 (* -1 (/ (neg (log x)) n))) x) (/.f64 (log.f64 x) (*.f64 n x)))) n)))
	50.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
▶	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) (.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 n n)))))
	61.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (-.f64 (fma.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 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))))))))
	33.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 n (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (.f64 x (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))))))
	30.0%	#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))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 n x))))
✓	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) (.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (.f64 n n))))
	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (.f64 x (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 x)))))))))))

Compiler

Compiled 3 039 to 1 750 computations (42.4% saved)

series263.0ms (1.3%)

Memory

26.1MiB live, 304.4MiB allocated; 29ms collecting garbage

Counts

43 → 311

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
95.0ms	n	@	0	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n))
39.0ms	n	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n))
34.0ms	n	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n))
33.0ms	x	@	inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n))
16.0ms	x	@	-inf	((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n))

rewrite428.0ms (2.1%)

Memory

-12.2MiB live, 488.2MiB allocated; 165ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2363	58646
0	2406	48176
0	10247	44202

Stop Event

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

Counts

354 → 396

Calls

Call 1

Inputs
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#s(approx n n)
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eval87.0ms (0.4%)

Memory: 1.3MiB live, 139.4MiB allocated; 23ms collecting garbage
Compiler: Compiled 38 118 to 3 405 computations (91.1% saved)

prune125.0ms (0.6%)

Memory

9.9MiB live, 146.4MiB allocated; 32ms collecting garbage

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	371	9	380
Fresh	6	15	21
Picked	2	3	5
Done	0	3	3
Total	379	30	409

Accuracy

99.9%

Counts

409 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.4%	(-.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))))
	13.9%	(-.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)))
	28.5%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	31.1%	(-.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)))
	44.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
	58.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	21.4%	#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))) n)) (/.f64 #s(approx (- 1 (* 1/2 (/ 1 x))) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
	43.8%	#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))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1 binary64) n))) x))
✓	21.4%	#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))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)))) x))
	32.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
	32.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (neg.f64 (log.f64 x))) n))
	35.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) n))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) n))
	47.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
	61.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
	34.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 #s(approx (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 3 binary64)) (.f64 n (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))))) (.f64 n (fma.f64 #s(literal -1 binary64) (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 (.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 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (-.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 (fma.f64 #s(literal -1 binary64) (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))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
	61.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))))) n)))
	37.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (-.f64 (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (log.f64 x) (log.f64 x)) n)))) n)))
✓	61.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) #s(approx (log (/ x (+ 1 x))) (/.f64 #s(literal -1 binary64) x))) n)))
	23.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) x)) n)))
	25.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) #s(approx (/ (+ 1 (* -1 (/ (neg (log x)) n))) x) (/.f64 (log.f64 x) (*.f64 n x)))) n)))
	50.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))))
	61.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (-.f64 (fma.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 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))))))))
	28.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) x))) (.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
	38.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/.f64 #s(approx (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) (log.f64 x)) (.f64 n (log.f64 x)))) (*.f64 n n)))))
✓	43.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (- x -1) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	39.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
	32.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (.f64 x (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 x)))))))))))

Compiler

Compiled 3 536 to 1 368 computations (61.3% saved)

regimes72.0ms (0.4%)

Memory

32.7MiB live, 48.7MiB allocated; 36ms collecting garbage

Counts

50 → 2

Calls

Call 1

Inputs
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (.f64 x (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 x)))))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (.f64 x (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))))) (.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n)))))) (.f64 n (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))) #s(literal 2 binary64)))))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (.f64 n (-.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 x) (log.f64 x))) (.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (log.f64 x)))))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 #s(approx (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 3 binary64)) (.f64 n (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (log.f64 x) (log.f64 x))) #s(literal 2 binary64))))) (.f64 n (fma.f64 #s(literal -1 binary64) (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 (.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 (.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (-.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 (fma.f64 #s(literal -1 binary64) (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))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) (fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 x))))) n)))

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

Outputs

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

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

Calls

4 calls:

36.0ms	n
12.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	(-.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
85.9%	4	`(/.f64 #s(literal 1 binary64) n)`
83.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
91.6%	2	`x`
85.9%	5	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes45.0ms (0.2%)

Memory

-41.4MiB live, 7.8MiB allocated; 50ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

1 calls:

43.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB 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 (/ (- x -1) 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))) n)) #s(approx (/ (- 1 (* 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 (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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 (/ (- x -1) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 #s(literal -1/2 binary64) (*.f64 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))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (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))) n)) (/.f64 #s(approx (- 1 (* 1/2 (/ 1 x))) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (- x -1) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.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 #s(approx (log (/ (- x -1) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.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 (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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 (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (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 (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) #s(approx (/ (+ 1 (* -1 (/ (neg (log x)) n))) x) (/.f64 (log.f64 x) (*.f64 n x)))) n)))

Outputs

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

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

Calls

4 calls:

5.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	x
5.0ms	n
3.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
68.0%	3	`n`
72.1%	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)))`
67.0%	2	`(/.f64 #s(literal 1 binary64) n)`
65.8%	2	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
72.1%	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

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

Counts

14 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
72.1%	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)

regimes14.0ms (0.1%)

Memory

-33.4MiB live, 14.6MiB allocated; 3ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) n)
3.0ms	n
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
65.4%	2	`x`
50.9%	4	`n`
50.9%	4	`(/.f64 #s(literal 1 binary64) n)`
47.6%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

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

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.8%	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)))`
43.8%	1	`(/.f64 #s(literal 1 binary64) n)`
43.8%	1	`n`
43.8%	1	`x`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1 binary64) 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))) n)) #s(approx (/ (- 1 (* 1/2 (/ 1 x))) n) (/.f64 #s(literal 1 binary64) 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
43.8%	1	`(/.f64 #s(literal 1 binary64) n)`
43.8%	1	`x`
43.8%	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)))`
43.8%	1	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.4%	1	`(/.f64 #s(literal 1 binary64) n)`
43.4%	1	`x`
43.4%	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)))`
43.4%	1	`n`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch31.0ms (0.2%)

Memory

-26.5MiB live, 20.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.2905295415626197e-8	21.04000034984503

Samples

11.0ms	61×	1	valid
9.0ms	31×	2	valid
4.0ms	52×	0	valid
0.0ms	2×	0	exit

Compiler

Compiled 322 to 319 computations (0.9% saved)

Precisions

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

ival-pow: 14.0ms (71.3% of total)

adjust: 3.0ms (15.3% of total)

ival-div!: 2.0ms (10.2% of total)

ival-sub!: 1.0ms (5.1% of total)

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

bsearch15.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.2905295415626197e-8	21.04000034984503

Samples

4.0ms	15×	2	valid
4.0ms	24×	1	valid
2.0ms	25×	0	valid
1.0ms	8×	0	exit

Compiler

Compiled 376 to 373 computations (0.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow: 6.0ms (68.7% of total)

adjust: 1.0ms (11.4% of total)

ival-div!: 1.0ms (11.4% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.36912378603904e-10	1.0
0.0ms	-inf	-1.4675571868849602e-8

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.36912378603904e-10	1.0
0.0ms	-inf	-1.4675571868849602e-8

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.36912378603904e-10	1.0
0.0ms	-inf	-1.4675571868849602e-8

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2905295415626197e-8	21.04000034984503

Compiler

Compiled 421 to 418 computations (0.7% saved)

bsearch5.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.2905295415626197e-8	21.04000034984503

Samples

1.0ms	5×	2	valid
1.0ms	5×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 412 to 409 computations (0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow: 2.0ms (88.1% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch56.0ms (0.3%)

Memory

-9.7MiB live, 35.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	3.582889857221474e+152	9.807617766793633e+154
10.0ms	2.2905295415626197e-8	21.04000034984503

Samples

31.0ms	94×	2	valid
4.0ms	25×	1	valid
4.0ms	57×	0	valid
2.0ms	25×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 2 061 to 1 072 computations (48% saved)

Precisions

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

ival-pow: 26.0ms (73.1% of total)

adjust: 5.0ms (14.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.582889857221474e+152	9.807617766793633e+154

Compiler

Compiled 1 008 to 541 computations (46.3% saved)

derivations363.0ms (1.8%)

Memory

32.7MiB live, 170.2MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 328 to 152 computations (53.7% saved)

preprocess126.0ms (0.6%)

Memory: -29.4MiB live, 110.9MiB allocated; 110ms collecting garbage
Compiler: Compiled 339 to 160 computations (52.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze731.0ms (3.6%)

sample16.0s (78.4%)

preprocess73.0ms (0.4%)

series54.0ms (0.3%)

rewrite176.0ms (0.9%)

eval17.0ms (0.1%)

prune8.0ms (0%)

series306.0ms (1.5%)

rewrite193.0ms (0.9%)

eval62.0ms (0.3%)

prune26.0ms (0.1%)

series366.0ms (1.8%)

rewrite516.0ms (2.5%)

eval121.0ms (0.6%)

prune74.0ms (0.4%)

series263.0ms (1.3%)

rewrite428.0ms (2.1%)

eval87.0ms (0.4%)

prune125.0ms (0.6%)

regimes72.0ms (0.4%)

regimes45.0ms (0.2%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch31.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch56.0ms (0.3%)

bsearch1.0ms (0%)

derivations363.0ms (1.8%)

preprocess126.0ms (0.6%)

end0.0ms (0%)

Profiling