Metrics for 2nthrt (problem 3.4.6)

start0.0ms (0%)

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

analyze190.0ms (1%)

Memory

7.4MiB live, 148.8MiB allocated; 32ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample15.7s (81.6%)

Memory

116.5MiB live, 10 485.6MiB allocated; 4.0s collecting garbage

Samples

11.4s	6 067×	5	exit
1.4s	2 935×	2	valid
1.0s	2 800×	1	valid
233.0ms	2 521×	0	valid
211.0ms	1 645×	0	exit
164.0ms	154×	4	exit
146.0ms	1 078×	1	exit
2.0ms	1×	3	exit

Precisions

Click to see histograms. Total time spent on operations: 13.6s

ival-pow: 11.5s (84.8% of total)

adjust: 1.4s (10.3% of total)

ival-div!: 374.0ms (2.7% of total)

ival-sub!: 158.0ms (1.2% of total)

ival-add!: 132.0ms (1% of total)

exact: 0.0ms (0% of total)

Bogosity

preprocess45.0ms (0.2%)

Memory

-33.9MiB live, 9.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	164	80
2	1375	80

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Symmetry

(abs n)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series171.0ms (0.9%)

Memory

-0.5MiB live, 91.1MiB allocated; 14ms 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))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.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 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) 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 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) 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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))

Calls

6 calls:

Time	Variable	Point
23.0ms	x	0
14.0ms	x	-inf
8.0ms	x	inf
2.0ms	n	inf
1.0ms	n	-inf

rewrite167.0ms (0.9%)

Memory

41.5MiB live, 41.5MiB allocated; 0ms collecting garbage

Counts

8 → 37

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
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 3 binary64)) n)) (pow.f64 x (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 (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 (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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.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 (.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 n (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 n (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n #s(literal 2 binary64))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) n)))
n
(neg.f64 (neg.f64 n))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.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 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (.f64 n #s(literal 2 binary64)))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64)))))
(.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 n #s(literal 2 binary64)))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64)))))

eval18.0ms (0.1%)

Memory: -47.0MiB live, 9.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 118 to 478 computations (84.7% saved)

prune12.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	12	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Accuracy

98.6%

Counts

84 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
▶	18.6%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	23.7%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))))
▶	22.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	28.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
▶	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
	22.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
	22.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
	22.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) x))
	22.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))

Compiler

Compiled 1 034 to 562 computations (45.6% saved)

series434.0ms (2.3%)

Memory

23.0MiB live, 306.3MiB allocated; 58ms collecting garbage

Counts

37 → 197

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (/.f64 x n)))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))))) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x)
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) n)))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 11/24 binary64) (/.f64 x n)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -5/12 binary64) (/.f64 x n) (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (/.f64 (pow.f64 x #s(literal 2 binary64)) n))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 11/12 binary64) (/.f64 x n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -5/6 binary64) (/.f64 x n) (*.f64 #s(literal 11/12 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
#s(approx (pow (log (+ 1 x)) 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))))
#s(approx (pow (log (+ 1 x)) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal -5/6 binary64) x))) #s(literal 1 binary64))))))
#s(approx (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
#s(approx (log x) (log.f64 x))
#s(approx (* 1/2 (/ (pow (log x) 2) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
#s(approx (/ (pow (log x) 2) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (log (+ 1 x)) (log x)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
#s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x)))
#s(approx (- (log (+ 1 x)) (log x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (log.f64 x)))
#s(approx (- (log (+ 1 x)) (log x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (log.f64 x)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (/ x n) (/.f64 x n))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (+ 1 (/ (log x) n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
#s(approx (/ (log x) n) (/.f64 (log.f64 x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64))))
#s(approx (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64)))
#s(approx (sqrt (pow x (/ 1 n))) (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (.f64 n x)) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n x))) x))
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#s(approx (sqrt (pow x (/ 1 n))) (sqrt.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
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#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x) (/.f64 #s(literal 1 binary64) n))) x)))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x) (/.f64 #s(literal 1 binary64) n))) x)))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal 11/12 binary64) (/.f64 #s(literal 1 binary64) n))) n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)) n)))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x) (/.f64 #s(literal 1 binary64) n))) x)))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x)))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) #s(literal 1/2 binary64)) x)))) x)))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) #s(literal 1/2 binary64)) x)))) x)))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal 11/12 binary64) (/.f64 #s(literal 1 binary64) n)))) #s(literal 1/4 binary64)) x) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n))))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) #s(literal 1/2 binary64)) x)))) x)))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) #s(literal 1/2 binary64)) x)))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)))) x) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) #s(literal 1/2 binary64)) x)))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))))
#s(approx (log (+ 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n x))))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))
#s(approx (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)) x) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) x))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n x)) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) x))) x) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x))) x) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
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#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal -1 binary64) (*.f64 n x)))
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#s(approx (/ (- (log (+ 1 x)) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 n (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n x)) (/.f64 #s(literal 1 binary64) n))) x)))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
#s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (log (+ 1 x)) (log x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64)) x))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))) (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))) (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64))))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
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#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 n (log.f64 (+.f64 #s(literal 1 binary64) x)))) n))
#s(approx (/ (pow (log (+ 1 x)) 2) n) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))
#s(approx n n)
#s(approx (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 x))) n))
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (+ 1 (/ x n)) (/.f64 (+.f64 n x) n))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))) n))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))
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#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) n))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
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#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) 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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (sqrt (pow x (/ 1 n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (sqrt (pow x (/ 1 n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (log.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) n) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) n) (.f64 #s(literal -1/2 binary64) (log.f64 x))) n))))

Calls

6 calls:

Time	Variable	Point
42.0ms	n	inf
35.0ms	n	0
28.0ms	n	-inf
20.0ms	x	-inf
15.0ms	x	inf

rewrite201.0ms (1%)

Memory

-10.0MiB live, 176.4MiB allocated; 26ms collecting garbage

Counts

37 → 155

Calls

Call 1

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

Outputs
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
n
(neg.f64 (neg.f64 n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
#s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(fabs.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(fabs.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (fabs.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 (fabs.f64 (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))) (fabs.f64 (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(fabs.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(fabs.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (cosh.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 (cosh.f64 (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 #s(literal 1 binary64) n))))

eval33.0ms (0.2%)

Memory: 31.7MiB live, 77.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 13 571 to 1 624 computations (88% saved)

prune34.0ms (0.2%)

Memory

-43.0MiB live, 49.1MiB allocated; 14ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	234	22	256
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	240	28	268

Accuracy

99.8%

Counts

268 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	9.7%	(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
✓	22.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	28.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	7.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
✓	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
▶	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
	29.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))
▶	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
	8.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
	22.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
	22.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))
▶	48.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n))
	30.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x)) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	5.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
	5.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64)))))
	23.1%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)) (.f64 n x)) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/2 binary64) (.f64 n x))) x)))
	29.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x))))
	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
	23.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x #s(literal 3 binary64))))))) x)))
	24.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
▶	5.9%	#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))

Compiler

Compiled 1 931 to 1 182 computations (38.8% saved)

series461.0ms (2.4%)

Memory

43.8MiB live, 272.0MiB allocated; 85ms collecting garbage

Counts

34 → 200

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n))
(/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))
#s(literal 1/2 binary64)
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))
n
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)
(-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x)
(+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)

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

Calls

6 calls:

Time	Variable	Point
44.0ms	n	-inf
32.0ms	x	inf
30.0ms	n	0
17.0ms	n	inf
11.0ms	x	-inf

rewrite195.0ms (1%)

Memory

-12.9MiB live, 34.1MiB allocated; 7ms collecting garbage

Counts

34 → 120

Calls

Call 1

Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n))
(/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))))
#s(literal 1/2 binary64)
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))
n
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)
(-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x)
(+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)

Outputs
#s(approx 2 (/.f64 #s(approx (* 2 1/2) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) n))
(/.f64 #s(approx (* 2 1/2) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) n)
#s(approx (* 2 1/2) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
n
(neg.f64 (neg.f64 n))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx 2 (/.f64 (-.f64 #s(approx (* 2 1/2) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (-.f64 #s(approx (* 2 1/2) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) n)
(-.f64 #s(approx (* 2 1/2) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 2 1/2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))

eval71.0ms (0.4%)

Memory: -23.8MiB live, 34.1MiB allocated; 59ms collecting garbage
Compiler: Compiled 16 092 to 1 804 computations (88.8% saved)

prune39.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	218	7	225
Fresh	6	14	20
Picked	1	4	5
Done	0	3	3
Total	225	28	253

Accuracy

99.8%

Counts

253 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	9.7%	(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
✓	22.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	28.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	29.1%	(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
	7.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
✓	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
✓	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
✓	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
▶	8.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
	22.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
▶	22.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x)))
	29.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) n)) n))
	29.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 n x)))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
▶	35.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 n (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64)))))
	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
▶	31.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
	23.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x #s(literal 3 binary64))))))) x)))
	24.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	18.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- x (log x)) n) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 n x))))))
✓	5.9%	#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
	4.7%	#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
▶	12.6%	#s(approx 2 #s(literal 1 binary64))

Compiler

Compiled 1 652 to 1 001 computations (39.4% saved)

series477.0ms (2.5%)

Memory

22.8MiB live, 214.5MiB allocated; 33ms collecting garbage

Counts

39 → 180

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
42.0ms	n	0
40.0ms	x	-inf
39.0ms	n	-inf
33.0ms	n	inf
27.0ms	x	inf

rewrite200.0ms (1%)

Memory

-24.5MiB live, 21.6MiB allocated; 4ms collecting garbage

Counts

39 → 164

Calls

Call 1

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

Outputs
#s(approx 0 #s(approx 1/2 #s(literal 1/2 binary64)))
#s(approx 1/2 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(approx 0 #s(literal 1 binary64))
#s(approx 0 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(approx 0 #s(approx 0 #s(literal 1/2 binary64)))
#s(approx 0 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(approx 0 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal -1 binary64)
(log.f64 (exp.f64 #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
n

eval34.0ms (0.2%)

Memory: -5.3MiB live, 40.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 14 423 to 1 551 computations (89.2% saved)

prune18.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	186	9	195
Fresh	1	15	16
Picked	3	2	5
Done	0	7	7
Total	190	33	223

Accuracy

99.8%

Counts

223 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	9.7%	(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
✓	22.9%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	28.0%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.2%	(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
	29.1%	(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
	7.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
✓	43.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
✓	21.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
✓	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
✓	8.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
	22.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
	22.4%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (* -1 (/ (log (/ 1 x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
	29.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) n)) n))
	29.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 n x)))) n))
	26.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) n))
	26.6%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
	26.8%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 #s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (.f64 #s(literal -1 binary64) (.f64 n (log.f64 x)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64)))))
	28.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (pow.f64 n #s(literal 2 binary64)))))
	4.5%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	3.0%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
	4.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
	17.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
	23.7%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 n (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x #s(literal 3 binary64))))))) x)))
	31.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
	24.3%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
	24.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
	31.2%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 n x)))))
	18.9%	#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- x (log x)) n) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 n x))))))
✓	5.9%	#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
	4.7%	#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
✓	12.6%	#s(approx 2 #s(literal 1 binary64))

Compiler

Compiled 1 209 to 713 computations (41% saved)

regimes215.0ms (1.1%)

Memory

-13.4MiB live, 132.4MiB allocated; 15ms collecting garbage

Accuracy

Total -5.1b remaining (-1%)

Threshold costs -5.1b (-1%)

Counts

3 → 1

7 → 2

9 → 3

10 → 3

13 → 3

16 → 3

21 → 4

22 → 5

23 → 3

24 → 3

31 → 3

37 → 3

40 → 3

51 → 3

Calls

Call 1

Inputs

#s(approx 2 #s(literal 1 binary64))

#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))

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

Outputs
#s(approx 2 #s(literal 1 binary64))

Call 2

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))

Outputs
#s(approx 2 #s(literal 1 binary64))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 3

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))

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

Outputs

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

#s(approx 2 #s(literal 1 binary64))

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 4

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))

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

Outputs

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

#s(approx 2 #s(literal 1 binary64))

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 5

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))

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

Outputs

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

#s(approx 2 #s(literal 1 binary64))

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 6

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))

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

Call 7

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))

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

Call 8

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))

Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (-.f64 x (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 9

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))

Outputs

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

#s(approx 2 #s(literal 1 binary64))

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 10

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Outputs

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

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

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 11

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- x (log x)) n) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 n x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (* -1 (/ (log (/ 1 x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))

Outputs

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

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

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

Call 12

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- x (log x)) n) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 n x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (* -1 (/ (log (/ 1 x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.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 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 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 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))

Outputs

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

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

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

Call 13

Inputs
#s(approx 2 #s(literal 1 binary64))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) #s(literal 1/2 binary64)))
(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (exp (/ 0 n)) (exp (/ 0 n))) (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(literal 2 binary64) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) 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 (+ 1 x)) (log 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 (-.f64 (/.f64 x n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) x)))
(-.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(approx (exp (/ 0 n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- x (log x)) n) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) #s(approx (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) n) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 n x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (* -1 (/ (log (/ 1 x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (.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 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 #s(approx (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (* 1/2 (pow (log x) 2))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 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 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) x) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (-.f64 #s(approx (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (log (+ 1 x)) (log x)))) (.f64 #s(literal -1 binary64) (.f64 n (log.f64 x)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) n))

Outputs

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

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

(-.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))

Call 14

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

Outputs

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

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

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

Calls

25 calls:

23.0ms	n
16.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0ms	x
15.0ms	(/.f64 #s(literal 1 binary64) n)
11.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
12.6%	1	`(/.f64 #s(literal 1 binary64) n)`
12.6%	1	`n`
12.6%	1	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
12.6%	1	`x`
38.1%	2	`x`
38.7%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
43.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
43.1%	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)))`
43.1%	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)))`
38.1%	2	`x`
44.6%	3	`x`
46.2%	4	`x`
38.1%	4	`(/.f64 #s(literal 1 binary64) n)`
38.1%	4	`n`
47.8%	5	`x`
42.6%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
53.2%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
54.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
54.0%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
54.1%	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)))`
54.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
48.1%	1	`(/.f64 #s(literal 1 binary64) n)`
54.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
48.1%	1	`x`
48.1%	1	`n`

Compiler

Compiled 2 260 to 442 computations (80.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.02208373385943907	0.9699949423595087

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch192.0ms (1%)

Memory

-19.4MiB live, 27.2MiB allocated; 2ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
51.0ms	0.383894256258306	202.90172650547746
34.0ms	2.6188826048464357e-69	8.585835818820515e-68
52.0ms	4.977862302266314e-227	1.4963520678006265e-224
46.0ms	3.655406073105671e-273	3.5492183858619987e-272

Samples

84.0ms	285×	1	valid
63.0ms	166×	2	valid
9.0ms	112×	0	exit
1.0ms	13×	0	valid
0.0ms	3×	1	exit

Compiler

Compiled 1 357 to 927 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-pow: 108.0ms (78.6% of total)

adjust: 15.0ms (10.9% of total)

ival-div!: 7.0ms (5.1% of total)

ival-add!: 4.0ms (2.9% of total)

ival-sub!: 3.0ms (2.2% of total)

bsearch30.0ms (0.2%)

Memory

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

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	7731.490742096312	25156.617996328416
1.0ms	4.977862302266314e-227	1.4963520678006265e-224
1.0ms	3.655406073105671e-273	3.5492183858619987e-272

Samples

13.0ms	47×	2	valid
4.0ms	30×	1	valid
3.0ms	41×	0	exit
0.0ms	3×	0	valid

Compiler

Compiled 1 107 to 715 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 12.0ms (70.6% of total)

adjust: 3.0ms (17.6% of total)

ival-sub!: 1.0ms (5.9% of total)

ival-div!: 1.0ms (5.9% of total)

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

bsearch54.0ms (0.3%)

Memory

-3.2MiB live, 43.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7731.490742096312	25156.617996328416
52.0ms	1.4963520678006265e-224	8.569877603526804e-223

Samples

25.0ms	68×	1	valid
22.0ms	42×	2	valid
0.0ms	2×	1	exit
0.0ms	2×	0	valid

Compiler

Compiled 302 to 246 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 37.0ms (84.4% of total)

adjust: 4.0ms (9.1% of total)

ival-add!: 1.0ms (2.3% of total)

ival-div!: 1.0ms (2.3% of total)

ival-sub!: 1.0ms (2.3% 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	+inf	NaN
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	2.220446049250313e-16

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch25.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.548300641348672e-19	5.4469013684023786e-18

Samples

11.0ms	33×	2	valid
6.0ms	33×	1	valid
2.0ms	30×	0	valid

Compiler

Compiled 64 to 91 computations (-42.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 13.0ms (76.4% of total)

adjust: 2.0ms (11.7% of total)

ival-div!: 1.0ms (5.9% of total)

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

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

derivations8.0ms (0%)

Memory

-43.7MiB live, 6.4MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 033 to 131 computations (87.3% saved)

preprocess210.0ms (1.1%)

Memory: -5.0MiB live, 305.0MiB allocated; 172ms collecting garbage
Remove: (abs n)
Compiler: Compiled 3 112 to 1 039 computations (66.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze190.0ms (1%)

sample15.7s (81.6%)

preprocess45.0ms (0.2%)

series171.0ms (0.9%)

rewrite167.0ms (0.9%)

eval18.0ms (0.1%)

prune12.0ms (0.1%)

series434.0ms (2.3%)

rewrite201.0ms (1%)

eval33.0ms (0.2%)

prune34.0ms (0.2%)

series461.0ms (2.4%)

rewrite195.0ms (1%)

eval71.0ms (0.4%)

prune39.0ms (0.2%)

series477.0ms (2.5%)

rewrite200.0ms (1%)

eval34.0ms (0.2%)

prune18.0ms (0.1%)

regimes215.0ms (1.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch192.0ms (1%)

bsearch30.0ms (0.2%)

bsearch54.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.1%)

derivations8.0ms (0%)

preprocess210.0ms (1.1%)

end0.0ms (0%)

Profiling