Metrics for 2nthrt (problem 3.4.6)

analyze367.0ms (0.8%)

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%	0%	3.1%	7
45.2%	43.7%	53.1%	0.1%	0%	0%	3.1%	8
50.8%	46.8%	45.3%	0.1%	0%	0%	7.8%	9
50.8%	46.8%	45.3%	0.1%	0%	0%	7.8%	10
53.9%	48.4%	41.4%	0.1%	0%	0%	10.1%	11
53.9%	48.4%	41.4%	0.1%	0%	0%	10.1%	12

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-pow: 168.0ms (81.6% of total)

ival-div: 14.0ms (6.8% of total)

ival-add: 11.0ms (5.3% of total)

ival-sub: 10.0ms (4.9% of total)

const: 2.0ms (1% of total)

backward-pass: 1.0ms (0.5% of total)

sample33.3s (73.3%)

Results

28.1s	7252×	5	exit
2.1s	3779×	1	valid
1.1s	1965×	2	valid
474.0ms	2512×	0	valid
278.0ms	1598×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 29.5s

ival-pow: 26.3s (89% of total)

backward-pass: 1.0s (3.5% of total)

ival-div: 996.0ms (3.4% of total)

ival-add: 606.0ms (2.1% of total)

ival-sub: 551.0ms (1.9% of total)

const: 71.0ms (0.2% of total)

Bogosity

preprocess54.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

524×	`sum3-define`
488×	`fnmadd-define`
364×	`fmsub-define`
336×	`fnmsub-define`
332×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	51	74
2	105	72
3	190	72
4	359	72
5	746	72
6	1125	72
7	1472	72
8	1662	72
9	1874	72
10	2030	72
11	2042	72
0	8	11
1	14	11
2	18	11
3	25	11
4	35	11
5	67	11
6	125	11
7	213	11
8	297	11
9	403	11
10	481	11
11	487	11
0	487	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

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

Call 2

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))

Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ x 1) (recip n)) (pow x (recip n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (recip n)) (pow (neg x) (recip n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (recip n)) (pow (- 1 x) (recip n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (recip x)) (pow n (recip x)))

explain286.0ms (0.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
117	0	-	-	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
36	66	(83678129.09737733 -6.559234675446266e-220)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	65	(83678129.09737733 -6.559234675446266e-220)	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`x`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	-	`n`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

154.0ms	306×	1	valid
71.0ms	130×	2	valid
12.0ms	76×	0	valid

Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-pow: 127.0ms (76.5% of total)

backward-pass: 14.0ms (8.4% of total)

ival-div: 9.0ms (5.4% of total)

ival-add: 8.0ms (4.8% of total)

ival-sub: 6.0ms (3.6% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	14	29
2	18	29
3	25	29
4	35	29
5	67	29
6	125	29
7	213	29
8	297	29
9	403	29
10	481	29
11	487	29
0	487	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))

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

localize150.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	87.8%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	58.6%	(-.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

79.0ms	153×	1	valid
35.0ms	65×	2	valid
6.0ms	38×	0	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-pow: 66.0ms (77.7% of total)

backward-pass: 7.0ms (8.2% of total)

ival-div: 5.0ms (5.9% of total)

ival-add: 4.0ms (4.7% of total)

ival-sub: 3.0ms (3.5% of total)

const: 1.0ms (1.2% of total)

series54.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>

Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(pow x (/ 1 n))
17.0ms	x	@	-inf	(pow x (/ 1 n))
5.0ms	x	@	inf	(pow x (/ 1 n))
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	n	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite195.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`sum4-define`
1424×	`sum5-define`
1326×	`/-lowering-/.f32`
1326×	`/-lowering-/.f64`
1276×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	28	24
2	81	24
3	286	24
4	672	24
5	1730	24
6	6840	24
0	8314	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 253

Calls

Call 1

Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))

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

simplify250.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4266×	`-lowering-.f32`
4266×	`-lowering-.f64`
3588×	`+-lowering-+.f64`
3588×	`+-lowering-+.f32`
2170×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	1600
1	811	1384
2	2558	1304
0	8236	1304

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))

Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x n) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (*.f64 n n)))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (.f64 n n))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (/.f64 #s(literal 1/24 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (.f64 n n)) (+.f64 (log1p.f64 x) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (.f64 n n)))) (-.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) (/.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) n))) (/.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 n (*.f64 n n))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x n)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n))))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n)))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) (.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n))) (.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (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))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n)) n))

eval39.0ms (0.1%)

Compiler: Compiled 8768 to 802 computations (90.9% saved)

prune55.0ms (0.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	375	13	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	13	389

Accuracy

99.8%

Counts

389 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	58.3%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	37.0%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
▶	42.2%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
	32.5%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
▶	62.8%	(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
	20.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	29.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.3%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.1%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	58.3%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	38.1%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	15.2%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))

Compiler

Compiled 770 to 440 computations (42.9% saved)

simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
✓	cost-diff	128	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
✓	cost-diff	128	(.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
✓	cost-diff	6080	(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))
✓	cost-diff	6336	(+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x)))

Rules

2304×	`-lowering-.f32`
2304×	`-lowering-.f64`
2142×	`+-lowering-+.f64`
2142×	`+-lowering-+.f32`
1354×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	656
1	143	625
2	448	624
3	1483	624
4	6428	624
0	8182	624

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))) n)
(+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x)))
(log (+ 1 x))
x
(- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(/ 1/2 n)
1/2
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(log x)
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(* x n)
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))))
(+ 1 (/ -1 (pow x (/ -1 n))))
1
(/ -1 (pow x (/ -1 n)))
-1
(pow x (/ -1 n))
x
(/ -1 n)
n
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))
(/ 1 n)
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))
(+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))
(/ 1/2 (* n n))
1/2
(* n n)
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))
-1/2
(/ -1/2 n)
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))
(/ (/ 1 (pow x (/ -1 n))) n)
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))
(/ (/ 1 (pow x (/ -1 n))) x)
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))

Outputs
(/ (+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))) n)
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (log1p.f64 x)) (.f64 (log.f64 x) (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal -1 binary64)))) n)
(+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (log1p.f64 x)) (.f64 (log.f64 x) (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal -1 binary64))))
(log (+ 1 x))
(log1p.f64 x)
x
(- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal -1 binary64))))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(/ 1 (pow x (/ -1 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(* x n)
(*.f64 x n)
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (.f64 (/.f64 x (.f64 n n)) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64))))))))))
(+ 1 (/ -1 (pow x (/ -1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
1
#s(literal 1 binary64)
(/ -1 (pow x (/ -1 n)))
(/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
-1
#s(literal -1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
n
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (.f64 (/.f64 x (.f64 n n)) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64))))))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (.f64 (/.f64 x (.f64 n n)) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64)))))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))
(+.f64 (.f64 (/.f64 x (.f64 n n)) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64))))))
(+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))
(+.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) n) (+.f64 (.f64 (/.f64 x (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))
(+.f64 (+.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) n) (.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) n))
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(+.f64 (/.f64 (.f64 x #s(literal 1/3 binary64)) n) (.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(/ 1/6 (* n (* n n)))
(/.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n n))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(.f64 n (.f64 n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
-1/2
#s(literal -1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))))
(/ (/ 1 (pow x (/ -1 n))) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/ 1 (pow x (/ -1 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(/ (/ 1 (pow x (/ -1 n))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) x)
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(/ 1/6 (* n (* n n)))
(/.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n n))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(.f64 n (.f64 n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))

localize1.4s (3.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1/3 binary64) n)
✓	accuracy	99.7%	(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
✓	accuracy	98.1%	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓	accuracy	95.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))
✓	accuracy	99.6%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
✓	accuracy	99.2%	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))
✓	accuracy	98.1%	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓	accuracy	84.9%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) n)
✓	accuracy	100.0%	(*.f64 x n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	84.9%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.9%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.9%	(+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x)))
✓	accuracy	99.8%	(pow.f64 (log.f64 x) #s(literal 2 binary64))

Results

1.1s	167×	5	exit
108.0ms	55×	1	valid
44.0ms	32×	0	unsamplable
2.0ms	2×	0	valid

Compiler

Compiled 758 to 54 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-pow: 157.0ms (22.2% of total)

backward-pass: 154.0ms (21.7% of total)

ival-log: 123.0ms (17.4% of total)

ival-div: 98.0ms (13.8% of total)

ival-add: 57.0ms (8% of total)

ival-mult: 45.0ms (6.3% of total)

...c/correct-round.rkt:119:19: 35.0ms (4.9% of total)

compiled-spec: 24.0ms (3.4% of total)

ival-sub: 13.0ms (1.8% of total)

const: 3.0ms (0.4% of total)

series146.0ms (0.3%)

Counts

28 → 576

Calls

Call 1

Inputs
#<alt (+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x)))>
#<alt (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))>
#<alt (/ (+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))) n)>
#<alt (log (+ 1 x))>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ (/ 1 (pow x (/ -1 n))) (* x n))>
#<alt (/ 1 (pow x (/ -1 n)))>
#<alt (pow x (/ -1 n))>
#<alt (/ -1 n)>
#<alt (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))>
#<alt (+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))))>
#<alt (+ 1 (/ -1 (pow x (/ -1 n))))>
#<alt (/ -1 (pow x (/ -1 n)))>
#<alt (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))>
#<alt (/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x)>
#<alt (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))>
#<alt (/ (/ 1 (pow x (/ -1 n))) n)>
#<alt (pow (log x) 2)>
#<alt (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (* x n)>
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))>
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))>
#<alt (/ 1/6 (* n (* n n)))>
#<alt (/ 1/3 n)>

Outputs
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (* -1 (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (* -1 (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n))))) (log x))>
#<alt (log (/ 1 x))>
#<alt (- (* -1 (/ (log (/ 1 x)) (* n x))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (* n x))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))))) (* -1 (log (/ 1 x))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
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#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)>
#<alt (/ (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) n)>
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>

Calls

144 calls:

Time	Variable		Point	Expression
23.0ms	n	@	0	(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
16.0ms	x	@	0	(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
11.0ms	n	@	inf	(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
8.0ms	x	@	0	(/ (/ 1 (pow x (/ -1 n))) (* x n))
6.0ms	n	@	0	(+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x)))

rewrite272.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4962×	`-lowering-.f32`
4962×	`-lowering-.f64`
3580×	`/-lowering-/.f32`
3580×	`/-lowering-/.f64`
1914×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	393
1	253	351
2	1725	345
0	8911	345

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 748

Calls

Call 1

Inputs
(+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x)))
(- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))
(/ (+ (log (+ 1 x)) (- (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log x))) n)
(log (+ 1 x))
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
(pow x (/ -1 n))
(/ -1 n)
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))))
(+ 1 (/ -1 (pow x (/ -1 n))))
(/ -1 (pow x (/ -1 n)))
(* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (* (/ (/ 1 (pow x (/ -1 n))) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))
(/ (/ 1 (pow x (/ -1 n))) n)
(pow (log x) 2)
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(* x n)
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))
(/ 1/6 (* n (* n n)))
(/ 1/3 n)

Outputs
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x)) (log1p.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (log1p.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))))
(+.f64 (+.f64 (log1p.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(+.f64 (+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (log1p.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) (log.f64 x))
(-.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) #s(literal 0 binary64)) (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) n) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x)))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (log.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 0 binary64)) (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))))
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(/.f64 #s(literal -1 binary64) (/.f64 n #s(literal -1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) n)
(/.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) n))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal -1/3 binary64) n) #s(literal -1 binary64))

simplify389.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4116×	`+-lowering-+.f64`
4116×	`+-lowering-+.f32`
3566×	`-lowering-.f32`
3566×	`-lowering-.f64`
2190×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1576	13570
1	5727	12694
0	8377	12694

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/ (+ (* -1 (* n (log x))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(* -1 (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(* -1 (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n))))) (log x))
(log (/ 1 x))
(- (* -1 (/ (log (/ 1 x)) (* n x))) (* -1 (log (/ 1 x))))
(- (+ (* -1 (/ (log (/ 1 x)) (* n x))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2)))) (* -1 (log (/ 1 x))))
(- (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))))) (* -1 (log (/ 1 x))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x)) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x)) (+ (log -1) (* -1 (log (/ -1 x)))))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(* -1 (/ (log x) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
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1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
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(exp (/ (log (/ 1 x)) n))
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(exp (/ (log (/ 1 x)) n))
(exp (/ (log (/ 1 x)) n))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
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(exp (* -1 (/ (log x) n)))
1
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1
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(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
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(+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))
(* -1 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)
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(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
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(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
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(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
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(* n x)
(* n x)
(* n x)
(* n x)
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(* n x)
(* n x)
(/ 1/6 (pow n 3))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ 1/3 n)
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(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ 1/3 n)
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(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
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(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
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(* 1/6 (/ (pow x 2) (pow n 3)))
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))
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(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
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(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)
(/ (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) n)
(/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)
(/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)
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(/ 1/6 (pow n 3))
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(/ 1/6 (pow n 3))
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(/ 1/6 (pow n 3))
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(/ 1/3 n)
(/ 1/3 n)

Outputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
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(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
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(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
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(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))
(* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/2 binary64) n))))))
(* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/2 binary64) n))))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x)))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x)))
(* 1/6 (/ (pow x 3) (pow n 3)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) n)
(/ (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) n)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) n)) n)
(/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)
(/.f64 (+.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) n)) (.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (.f64 x (*.f64 x x)) n))) n)
(/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) n)
(/.f64 (+.f64 (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) n)) (.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (.f64 x (*.f64 x x)) n))) n)
(* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))
(neg.f64 (/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) n))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))
(neg.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) n)) n))
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))
(neg.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)) n))) n))
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))
(neg.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)) n))) n))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)

eval242.0ms (0.5%)

Compiler: Compiled 76387 to 6298 computations (91.8% saved)

prune186.0ms (0.4%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1788	26	1814
Fresh	4	4	8
Picked	4	1	5
Done	0	0	0
Total	1796	31	1827

Accuracy

100.0%

Counts

1827 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	57.0%	(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
	42.1%	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
▶	57.1%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)
	47.5%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	63.0%	(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
▶	63.0%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
	35.3%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	47.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
	58.3%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	51.6%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (*.f64 x n))) x)
	32.5%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
	41.3%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
	6.4%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
	6.7%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
	42.7%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
	10.0%	(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
	56.7%	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
	41.5%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	20.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
▶	29.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	38.1%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	30.7%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	6.6%	(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
	32.7%	(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
	63.0%	(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
	6.0%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
▶	4.2%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
	30.9%	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
	31.6%	(neg.f64 (/.f64 (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) n))

Compiler

Compiled 1489 to 932 computations (37.4% saved)

simplify170.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) n)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 x n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 x n)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
2946×	`+-lowering-+.f64`
2946×	`+-lowering-+.f32`
1536×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	314
1	118	300
2	300	290
3	992	289
4	3843	287
0	8343	287

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
(/ n 1/2)
n
1/2
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(+ 1 x)
1
(- 1 1)
1
(* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))
(* x (* x x))
x
(* x x)
(+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
n
(* n n)
(- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))
(+ (/ 1/3 n) (/ 1/2 (* x (* n n))))
(/ 1/3 n)
1/3
(/ 1/2 (* x (* n n)))
1/2
(* x (* n n))
(+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))
(/ 1/2 (* n n))
(/ 1/2 (* x n))
(* x n)
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
1
(/ x n)
x
n
(pow x (/ 1 n))
(/ 1 n)
(/ (/ (/ 1 n) (exp (* -1 (/ (log x) n)))) x)
(/ (/ 1 n) (exp (* -1 (/ (log x) n))))
(/ 1 n)
1
n
(exp (* -1 (/ (log x) n)))
(* -1 (/ (log x) n))
-1
(/ (log x) n)
(log x)
x

Outputs
(/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
(/ n 1/2)
(/.f64 n #s(literal 1/2 binary64))
n
1/2
#s(literal 1/2 binary64)
(log (/ x (+ 1 x)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))
(.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(/ 1/6 (* n (* n n)))
(/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(.f64 n (.f64 n n))
n
(* n n)
(*.f64 n n)
(- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(+ (/ 1/3 n) (/ 1/2 (* x (* n n))))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ 1/2 (* x (* n n)))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
1/2
#s(literal 1/2 binary64)
(* x (* n n))
(.f64 x (.f64 n n))
(+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 x n)))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (* x n))
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(* x n)
(*.f64 x n)
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
1
#s(literal 1 binary64)
(/ x n)
(/.f64 x n)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (/ (/ 1 n) (exp (* -1 (/ (log x) n)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))))
(/ (/ 1 n) (exp (* -1 (/ (log x) n))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(exp (* -1 (/ (log x) n)))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
-1
#s(literal -1 binary64)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(log x)
(log.f64 x)
x

localize1.1s (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)
✓	accuracy	99.9%	(/.f64 (log.f64 x) n)
✓	accuracy	100.0%	(/.f64 x n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	accuracy	84.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
✓	accuracy	98.5%	(.f64 x (.f64 n n))
✓	accuracy	98.1%	(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (.f64 x n))))
✓	accuracy	97.9%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
✓	accuracy	99.9%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(pow.f64 (log.f64 x) #s(literal 2 binary64))

Results

904.0ms	199×	5	exit
75.0ms	54×	1	valid
2.0ms	1×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 354 to 48 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-log: 200.0ms (31.9% of total)

backward-pass: 127.0ms (20.3% of total)

ival-div: 87.0ms (13.9% of total)

ival-pow: 86.0ms (13.7% of total)

ival-mult: 29.0ms (4.6% of total)

ival-sub: 26.0ms (4.2% of total)

ival-add: 26.0ms (4.2% of total)

compiled-spec: 24.0ms (3.8% of total)

...c/correct-round.rkt:119:19: 14.0ms (2.2% of total)

ival-exp: 6.0ms (1% of total)

const: 3.0ms (0.5% of total)

series29.0ms (0.1%)

Counts

23 → 468

Calls

Call 1

Inputs
#<alt (/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)>
#<alt (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (- 1 1)>
#<alt (* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))))>
#<alt (- (+ 1 (/ x n)) (pow x (/ 1 n)))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (pow x (/ 1 n))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (/ (/ 1 n) (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 n)>
#<alt (* -1 (/ (log x) n))>
#<alt (pow (log x) 2)>
#<alt (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))>
#<alt (* x (* n n))>
#<alt (/ 1/2 (* x (* n n)))>
#<alt (/ (log x) n)>
#<alt (/ (/ (/ 1 n) (exp (* -1 (/ (log x) n)))) x)>

Outputs
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
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#<alt (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) n))) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n)) 1) n))>
#<alt (/ 1 (* n (exp (* -1 (/ (log x) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (log x) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (log x) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (log x) n)))))>
#<alt (/ 1 (* n (exp (/ (log (/ 1 x)) n))))>
#<alt (/ 1 (* n (exp (/ (log (/ 1 x)) n))))>
#<alt (/ 1 (* n (exp (/ (log (/ 1 x)) n))))>
#<alt (/ 1 (* n (exp (/ (log (/ 1 x)) n))))>
#<alt (/ 1 (* n (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ 1 (* n (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (log (/ 1 x)) n)>
#<alt (/ (log (/ 1 x)) n)>
#<alt (/ (log (/ 1 x)) n)>
#<alt (/ (log (/ 1 x)) n)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (log x) n))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1/2) (pow n 2))>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* n (- 1/3 (* 1/2 (/ 1 x))))) 1/2) (pow n 2))>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* n (- 1/3 (* 1/2 (/ 1 x))))) 1/2) (pow n 2))>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* n (- 1/3 (* 1/2 (/ 1 x))))) 1/2) (pow n 2))>
#<alt (/ (- 1/3 (* 1/2 (/ 1 x))) n)>
#<alt (/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)>
#<alt (/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)>
#<alt (/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)>
#<alt (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))>
#<alt (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))>
#<alt (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))>
#<alt (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))>
#<alt (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))>
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))>
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))>
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>

Calls

117 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)
2.0ms	n	@	inf	(/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)
1.0ms	x	@	-inf	(* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))
1.0ms	x	@	inf	(* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))
1.0ms	x	@	-inf	(exp (* -1 (/ (log x) n)))

rewrite236.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4972×	`-lowering-.f32`
4972×	`-lowering-.f64`
3746×	`/-lowering-/.f32`
3746×	`/-lowering-/.f64`
1222×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	220
1	225	201
2	1463	188
0	8858	188

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 674

Calls

Call 1

Inputs
(/ (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))) n)
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- 1 1)
(* (* x (* x x)) (+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))))
(* x (* x x))
(* x x)
(+ (/ 1/6 (* n (* n n))) (- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))))
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
(/ x n)
(pow x (/ 1 n))
(exp (* -1 (/ (log x) n)))
(/ (/ 1 n) (exp (* -1 (/ (log x) n))))
(/ 1 n)
(* -1 (/ (log x) n))
(pow (log x) 2)
(- (+ (/ 1/3 n) (/ 1/2 (* x (* n n)))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))
(* x (* n n))
(/ 1/2 (* x (* n n)))
(/ (log x) n)
(/ (/ (/ 1 n) (exp (* -1 (/ (log x) n)))) x)

Outputs
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))) (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))))
(+.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) n) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)))
(+.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 x)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (log1p.f64 x) n))
(+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) n))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) n) (/.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) n) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) n) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))) n))
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) n) n)) (.f64 n n)) (/.f64 (.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 n n)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal -1 binary64) (*.f64 x n))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 x n)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (.f64 x n))
(/.f64 (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x n)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x n)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (.f64 x n))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n)
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(.f64 (/.f64 #s(literal 1 binary64) n) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(.f64 (/.f64 #s(literal -1 binary64) n) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) n) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) (.f64 x n)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))

simplify259.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4086×	`+-lowering-+.f64`
4086×	`+-lowering-+.f32`
3632×	`-lowering-.f32`
3632×	`-lowering-.f64`
1682×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	6104
1	2446	5401
0	8298	5401

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(* -1 (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(* -1 (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))
(* -1/2 (/ (pow (log x) 2) n))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))
(* -1 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))))
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(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))

Outputs
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(+.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) n)) (.f64 x n))) (+.f64 (/.f64 (log.f64 x) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) (.f64 x n)))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (.f64 x n)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 n (.f64 x x))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x)))) (/.f64 (log.f64 x) (.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) n) (/.f64 #s(literal 11/12 binary64) n)) (.f64 x (.f64 n (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (.f64 x n)))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x x))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 n (.f64 x x)))) (-.f64 (/.f64 (log.f64 x) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x n)) (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 n (*.f64 x x))))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) (*.f64 x n)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 #s(literal -1 binary64) n))) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) n) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) n) (/.f64 #s(literal -1/3 binary64) n)) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) n) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) n) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/4 binary64)) (/.f64 #s(literal 11/24 binary64) n)) n) (/.f64 #s(literal -1/4 binary64) n)) x)) (/.f64 #s(literal -1/3 binary64) n)) x)) (/.f64 #s(literal -1/2 binary64) n)) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) n)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) n)
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (neg.f64 n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (neg.f64 n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (neg.f64 n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(+.f64 x (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) n)) x) (-.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal 1/2 binary64) x)))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (log.f64 x) n))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) n) (/.f64 #s(literal 11/12 binary64) n)) (.f64 x (.f64 x x))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (-.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) #s(literal -1/3 binary64)) x))) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal -1/4 binary64))) x)) #s(literal -1/3 binary64)) x))) x))) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
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(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 n (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) (.f64 n n))
(/ (- (+ (* 1/2 (/ 1 x)) (* n (- 1/3 (* 1/2 (/ 1 x))))) 1/2) (pow n 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 n (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) (.f64 n n))
(/ (- (+ (* 1/2 (/ 1 x)) (* n (- 1/3 (* 1/2 (/ 1 x))))) 1/2) (pow n 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 n (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) (.f64 n n))
(/ (- 1/3 (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)
(/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) (/.f64 #s(literal 1/2 binary64) x))) n)
(/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) (/.f64 #s(literal 1/2 binary64) x))) n)
(/ (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) (/.f64 #s(literal 1/2 binary64) x))) n)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) n))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) n) #s(literal -1/3 binary64))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) n) #s(literal -1/3 binary64))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) 1/3) n))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) n) #s(literal -1/3 binary64))) (neg.f64 n))
(/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x)
(/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) x)
(/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) x)
(/ (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) x)
(- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) x)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) x)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))
(- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) x)) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(* (pow n 2) x)
(.f64 x (.f64 n n))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x n)) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/3 binary64))) (.f64 n (.f64 n n)))) (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) x) (/.f64 (log.f64 x) (*.f64 x n)))) n)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x n)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) n)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (log.f64 x) x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal -1/2 binary64) n))) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) x)) n)) n)) (neg.f64 n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))

eval120.0ms (0.3%)

Compiler: Compiled 28581 to 2982 computations (89.6% saved)

prune109.0ms (0.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1151	13	1164
Fresh	14	11	25
Picked	4	1	5
Done	0	1	1
Total	1169	26	1195

Accuracy

100.0%

Counts

1195 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	57.0%	(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
▶	42.1%	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
	47.5%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	57.1%	(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
	41.7%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	35.3%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
▶	47.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
	42.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
▶	31.2%	(/.f64 (-.f64 x (log.f64 x)) n)
	32.5%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
	58.5%	(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
	4.8%	(/.f64 x n)
▶	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
	41.5%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	20.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓	29.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.4%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
✓	38.1%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	63.0%	(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
	7.1%	(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
	10.0%	(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
	0.9%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
	6.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
	1.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
▶	30.7%	#s(literal 0 binary64)

Compiler

Compiled 1150 to 660 computations (42.6% saved)

simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
✓	cost-diff	256	(.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(-.f64 x (log.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 x (log.f64 x)) n)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))

Rules

2220×	`fma-lowering-fma.f32`
2220×	`fma-lowering-fma.f64`
2164×	`-lowering-.f32`
2164×	`-lowering-.f64`
1754×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	526
1	124	494
2	311	493
3	658	482
4	1535	472
5	4514	472
0	8497	472

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))))
1
(/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))))
n
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
(/ n 1/2)
1/2
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(+ 1 x)
0
(/ (- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x)) (* x n))
(- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x))
(+ 1 (/ 1/3 (* x x)))
1
(/ 1/3 (* x x))
1/3
(* x x)
x
(/ 1/2 x)
1/2
(* x n)
n
(/ (- x (log x)) n)
(- x (log x))
x
(log x)
n
(/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)
(/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x)
(/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n)
(+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))))
(pow x (+ (/ 1 n) 1))
x
(+ (/ 1 n) 1)
(/ 1 n)
1
n
(* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))
(/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))
(+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x))
(* (/ 1 n) (+ -1/2 (/ 1/2 n)))
(+ -1/2 (/ 1/2 n))
-1/2
(/ 1/2 n)
1/2
(/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)
(+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2)))
(/ 1/3 n)
1/3
(* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))
(/ 1 (* n n))
(* n n)
(+ (/ 1/6 n) -1/2)
(/ 1/6 n)
1/6
(pow x (/ -1 n))
(/ -1 n)
-1

Outputs
(/ 1 (/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
1
#s(literal 1 binary64)
(/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))))
(/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
n
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64)))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
(/ n 1/2)
(/.f64 n #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log (/ x (+ 1 x)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
0
#s(literal 0 binary64)
(/ (- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x)) (* x n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (.f64 n x))
(- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+ 1 (/ 1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1/3 (* x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(* x x)
(*.f64 x x)
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(* x n)
(*.f64 n x)
n
(/ (- x (log x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(- x (log x))
(-.f64 x (log.f64 x))
x
(log x)
(log.f64 x)
n
(/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)
(/.f64 (+.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) (/.f64 (.f64 n #s(literal 1/3 binary64)) n)) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 n (*.f64 x x)))
(/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x)
(/.f64 (+.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) (/.f64 (.f64 n #s(literal 1/3 binary64)) n)) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 n x))
(/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n)
(/.f64 (+.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) (/.f64 (*.f64 n #s(literal 1/3 binary64)) n)) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) n)
(+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))))
(+.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) (/.f64 (*.f64 n #s(literal 1/3 binary64)) n)) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(pow x (+ (/ 1 n) 1))
(pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
x
(+ (/ 1 n) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) (/.f64 (*.f64 n #s(literal 1/3 binary64)) n)) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))) x))
(* (/ 1 n) (+ -1/2 (/ 1/2 n)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+ -1/2 (/ 1/2 n))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
-1/2
#s(literal -1/2 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
(/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))) x)
(+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))
(/ 1 (* n n))
(/.f64 #s(literal 1 binary64) (*.f64 n n))
(* n n)
(*.f64 n n)
(+ (/ 1/6 n) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n))
(/ 1/6 n)
(/.f64 #s(literal 1/6 binary64) n)
1/6
#s(literal 1/6 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)

localize1.4s (3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1/3 binary64) n)
✓	accuracy	99.9%	(/.f64 #s(literal 1/6 binary64) n)
✓	accuracy	95.8%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	accuracy	100.0%	(-.f64 x (log.f64 x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	99.9%	(/.f64 (-.f64 x (log.f64 x)) n)
✓	accuracy	100.0%	(*.f64 x n)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
✓	accuracy	99.9%	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	accuracy	99.9%	(/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.9%	(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	accuracy	99.8%	(pow.f64 (log.f64 x) #s(literal 2 binary64))

Results

1.2s	199×	5	exit
80.0ms	50×	1	valid
5.0ms	7×	0	valid

Compiler

Compiled 581 to 56 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-pow: 214.0ms (25.3% of total)

ival-log: 193.0ms (22.9% of total)

backward-pass: 143.0ms (16.9% of total)

ival-div: 130.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 48.0ms (5.7% of total)

ival-add: 40.0ms (4.7% of total)

ival-mult: 32.0ms (3.8% of total)

compiled-spec: 24.0ms (2.8% of total)

ival-sub: 19.0ms (2.2% of total)

const: 4.0ms (0.5% of total)

series53.0ms (0.1%)

Counts

22 → 396

Calls

Call 1

Inputs
#<alt (/ 1 (/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))))>
#<alt (/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))))>
#<alt (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))>
#<alt (/ (- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x)) (* x n))>
#<alt (- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x))>
#<alt (+ 1 (/ 1/3 (* x x)))>
#<alt (/ 1/3 (* x x))>
#<alt (/ (- x (log x)) n)>
#<alt (- x (log x))>
#<alt (log x)>
#<alt (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))>
#<alt (* (/ 1 n) (+ -1/2 (/ 1/2 n)))>
#<alt (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))>
#<alt (/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)>
#<alt (pow (log x) 2)>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (* x n)>
#<alt (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))>
#<alt (/ 1/6 n)>
#<alt (/ 1/3 n)>
#<alt (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x)>

Outputs
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 2 (/ (pow n 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))>
#<alt (* (pow n 2) (+ (* 4 (/ (* n (log (/ x (+ 1 x)))) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2))) (* 2 (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))>
#<alt (* (pow n 2) (+ (* n (- (* 8 (/ (* n (pow (log (/ x (+ 1 x))) 2)) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 3))) (* -4 (/ (log (/ x (+ 1 x))) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2))))) (* 2 (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))>
#<alt (* (pow n 2) (+ (* n (- (* n (- (* 16 (/ (* n (pow (log (/ x (+ 1 x))) 3)) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 4))) (* -8 (/ (pow (log (/ x (+ 1 x))) 2) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 3))))) (* -4 (/ (log (/ x (+ 1 x))) (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2))))) (* 2 (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))>
#<alt (* -1 (/ n (log (/ x (+ 1 x)))))>
#<alt (* n (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (pow (log (/ x (+ 1 x))) 2)))) (/ 1 (log (/ x (+ 1 x))))))>
#<alt (* n (- (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* (pow n 2) (pow (log (/ x (+ 1 x))) 3)))) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (pow (log (/ x (+ 1 x))) 2)))) (/ 1 (log (/ x (+ 1 x)))))))>
#<alt (* n (- (* -1/8 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 3) (* (pow n 3) (pow (log (/ x (+ 1 x))) 4)))) (+ (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* (pow n 2) (pow (log (/ x (+ 1 x))) 3)))) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (pow (log (/ x (+ 1 x))) 2)))) (/ 1 (log (/ x (+ 1 x))))))))>
#<alt (* -1 (/ n (log (/ x (+ 1 x)))))>
#<alt (* -1 (* n (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (pow (log (/ x (+ 1 x))) 2)))) (/ 1 (log (/ x (+ 1 x)))))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* n (pow (log (/ x (+ 1 x))) 3)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (/ x (+ 1 x))) 2)))) n)) (/ 1 (log (/ x (+ 1 x)))))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 3) (* n (pow (log (/ x (+ 1 x))) 4)))) (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (log (/ x (+ 1 x))) 3)))) n)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (/ x (+ 1 x))) 2)))) n)) (/ 1 (log (/ x (+ 1 x)))))))>
#<alt (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (+ (* -1 (/ (* n x) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2))) (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ n (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 3))) (/ (* n (- (* 1/2 (/ 1 n)) 1/2)) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2))))) (/ n (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2)))) (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* n (- (* 1/2 (/ 1 n)) 1/2)) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 3))) (+ (* -1 (/ (+ (* -1 (/ n (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 3))) (/ (* n (- (* 1/2 (/ 1 n)) 1/2)) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2))) (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))) (/ (* n (- 1/3 (* 1/2 (/ 1 n)))) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2)))))) (+ (* -1 (/ n (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 3))) (/ (* n (- (* 1/2 (/ 1 n)) 1/2)) (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2))))) (/ n (pow (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) 2)))) (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x))))>
#<alt (/ (* n x) (+ 1 (* -1 (/ (log (/ 1 x)) n))))>
#<alt (* x (+ (* -1 (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (* x (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2)))) (/ n (+ 1 (* -1 (/ (log (/ 1 x)) n))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) 2)) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 3))) (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2))) (pow x 2))) (/ n (+ 1 (* -1 (/ (log (/ 1 x)) n))))) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (* x (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2)))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (* n (* (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)))) (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2))) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) 2)) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 3))) (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2))) (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (+ 1 (* -1 (/ (log (/ 1 x)) n))))) (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2)))) (pow x 3))) (/ n (+ 1 (* -1 (/ (log (/ 1 x)) n))))) (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) 2)) (* (pow x 2) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 3)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (* (pow x 2) (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2))) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (* x (pow (+ 1 (* -1 (/ (log (/ 1 x)) n))) 2)))))))>
#<alt (* -1 (/ (* n x) (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)))>
#<alt (* -1 (* x (+ (/ n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)) (/ (* n (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2)) (* x (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) 2)) (* x (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 3)))) (/ (* n (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3)) (* x (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2)))) (/ (* n (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2))) x)) (/ n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* n (* (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3))) (* x (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) 2)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 3))) (/ (* n (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2))) (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2)) (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)))) (/ (* n (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4)) (* x (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2))))) (+ (* -1 (/ (* n (pow (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) 2)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 3))) (/ (* n (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2)))) x)) (/ (* n (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2)) (pow (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) 2))) x)) (/ n (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)))))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (* -1 (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (* -1 (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (exp (* (+ 1 (/ 1 n)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (* n (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) n)) (* -1 (/ (- (+ (* 1/6 (/ 1 (* (pow n 3) (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))) (* 1/3 (/ 1 (* n (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))) (* 1/2 (/ 1 (* (pow n 2) (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))) x))) x))>
#<alt (/ 1/6 (* (pow n 3) (* (pow x 2) (exp (* -1 (/ (log x) n))))))>
#<alt (/ (+ (* n (- (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))>
#<alt (/ (+ (* n (- (+ (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* n (- (+ (* 1/3 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))) (/ (exp (* (log x) (+ 1 (/ 1 n)))) x)) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))>
#<alt (/ (+ (* n (- (+ (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* n (- (+ (* 1/3 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))) (/ (exp (* (log x) (+ 1 (/ 1 n)))) x)) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))>
#<alt (/ (- (+ x (* 1/3 (/ 1 x))) 1/2) (* n x))>
#<alt (/ (- (+ 1 (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x)))))) n)>
#<alt (/ (- (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (/ (log x) n)))))) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (log x)))) (* (pow n 2) x))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* -1/3 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/6 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x))))))))))) n)>
#<alt (/ (- (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (/ (log x) n))))))) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (log x)))) (* (pow n 2) x))) (+ (* -1 (/ (* (log x) (- (* 1/6 (/ 1 x)) (* 1/2 (/ (log x) x)))) (* (pow n 3) x))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* -1/3 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* -1/18 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (log x)))) (* (pow n 3) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (* 1/2 (/ 1 x)) (+ (/ (* (log x) (+ (* -1 (* (log x) (- 1/2 (* 1/2 (log x))))) (* -1/4 (pow (log x) 2)))) (* (pow n 3) x)) (/ (* (log x) (+ (* -1/3 (/ (pow (log x) 2) x)) (* 1/6 (/ (pow (log x) 2) x)))) (* (pow n 3) x))))))))))))))))))) n)>
#<alt (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) (* n x))))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (+ (* -1 (+ (* -1 (log x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) x)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) (* n x))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (/ 1/6 (* n (pow x 2))) (/ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* n x)))))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (+ (* -1 (+ (* -1 (log x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) x)))) (* -1 (/ (+ (* -1 (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/2 (pow (log x) 2)) (/ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) x))))) (+ (* -1 (/ (* (log x) (+ (* 1/2 (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x))))) (+ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* 1/6 (/ 1 x))))) (* n x))) (+ (* -1/6 (/ (pow (log x) 3) n)) (+ (* 1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) (* n x))) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* n x))))))) n))) n))) n))>

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	n	@	inf	(/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)
5.0ms	n	@	inf	(* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))
3.0ms	n	@	-inf	(/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)
2.0ms	x	@	-inf	(/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))))
2.0ms	n	@	inf	(/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x)

rewrite230.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3884×	`-lowering-.f32`
3884×	`-lowering-.f64`
3470×	`/-lowering-/.f32`
3470×	`/-lowering-/.f64`
1376×	`frac-add`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	305
1	253	276
2	1508	276
0	8675	276

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 804

Calls

Call 1

Inputs
(/ 1 (/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))))
(/ n (- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x)))))
(- (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2)) (log (/ x (+ 1 x))))
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ n 1/2))
(/ (- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x)) (* x n))
(- (+ 1 (/ 1/3 (* x x))) (/ 1/2 x))
(+ 1 (/ 1/3 (* x x)))
(/ 1/3 (* x x))
(/ (- x (log x)) n)
(- x (log x))
(log x)
(* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))
(* (/ 1 n) (+ -1/2 (/ 1/2 n)))
(* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))
(/ (/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x) x)
(pow (log x) 2)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(* x n)
(/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n)))
(/ 1/6 n)
(/ 1/3 n)
(/ (/ (+ (pow x (+ (/ 1 n) 1)) (* n (/ (+ (* (/ 1 n) (+ -1/2 (/ 1/2 n))) (/ (+ (/ 1/3 n) (* (/ 1 (* n n)) (+ (/ 1/6 n) -1/2))) x)) (pow x (/ -1 n))))) n) x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 n #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 2 binary64)) n) (/.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) n) (.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n))
(pow.f64 (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal -1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))) n))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (.f64 n x))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) x)
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(/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 0 binary64) (.f64 n x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))))))
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(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n x)))
(.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) x))
(.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n x)))
(.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (*.f64 n x)) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (/.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal -1 binary64) (*.f64 n x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 #s(literal 1 binary64) n))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) n))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 #s(literal -1 binary64) n))
(.f64 (pow.f64 (/.f64 x (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(.f64 (pow.f64 (/.f64 x (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) x))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (.f64 n n))) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))

simplify313.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4078×	`-lowering-.f32`
4078×	`-lowering-.f64`
3196×	`+-lowering-+.f64`
3196×	`+-lowering-+.f32`
2400×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1297	11734
1	4532	10601
0	8443	10601

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
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Outputs
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(/ (+ (* n (- (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))
(/.f64 (+.f64 (.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)))))) (.f64 n (.f64 n n)))
(/ (+ (* n (- (+ (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* n (- (+ (* 1/3 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))) (/ (exp (* (log x) (+ 1 (/ 1 n)))) x)) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))) (.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))) (-.f64 (.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))) (-.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)))))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))))))) (.f64 n (.f64 n n)))
(/ (+ (* n (- (+ (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n)))))) (* n (- (+ (* 1/3 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))) (/ (exp (* (log x) (+ 1 (/ 1 n)))) x)) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))))) (* 1/2 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n)))))))) (* 1/6 (/ 1 (* (pow x 2) (exp (* -1 (/ (log x) n))))))) (pow n 3))
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(/ (- (+ x (* 1/3 (/ 1 x))) 1/2) (* n x))
(/.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64))) (*.f64 x n))
(/ (- (+ 1 (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x)))))) n)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x n))) (/.f64 (log.f64 x) n))) (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (log.f64 x)) (.f64 n (.f64 x x))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 x n)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 x x)))))) n)
(/ (- (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (/ (log x) n)))))) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (log x)))) (* (pow n 2) x))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* -1/3 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/6 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x))))))))))) n)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x n)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) (.f64 x x)))) (/.f64 (log.f64 x) n)))) (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (log.f64 x)) (.f64 n (.f64 x x))) (+.f64 (+.f64 (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 x x))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) x))) (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 x n)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 (.f64 n n) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 x x))))))) (/.f64 (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 x)))) (.f64 x (*.f64 n n))))) n)
(/ (- (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (/ (log x) n))))))) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (log x)))) (* (pow n 2) x))) (+ (* -1 (/ (* (log x) (- (* 1/6 (/ 1 x)) (* 1/2 (/ (log x) x)))) (* (pow n 3) x))) (+ (* -1/3 (/ (log x) (* n (pow x 2)))) (+ (* -1/3 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* -1/18 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* n x))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (log x)))) (* (pow n 3) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (* 1/2 (/ 1 x)) (+ (/ (* (log x) (+ (* -1 (* (log x) (- 1/2 (* 1/2 (log x))))) (* -1/4 (pow (log x) 2)))) (* (pow n 3) x)) (/ (* (log x) (+ (* -1/3 (/ (pow (log x) 2) x)) (* 1/6 (/ (pow (log x) 2) x)))) (* (pow n 3) x))))))))))))))))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x n)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 n n) (.f64 x x)))) (/.f64 (log.f64 x) n))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n (.f64 n n)))) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (log.f64 x)) (.f64 n (.f64 x x))) (.f64 (/.f64 #s(literal -1/3 binary64) (.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 x x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n)) (/.f64 #s(literal -1/4 binary64) x)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n (.f64 n n))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 n (.f64 n n))))) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 x (.f64 n (.f64 n n)))) (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 n n))) (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n (.f64 n n))))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 x n)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) (.f64 (.f64 n n) (.f64 x x)))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 x))))) (.f64 x (.f64 n (.f64 n n)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (log.f64 x) (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 x)))))) (.f64 x (.f64 n (.f64 n n))))) (/.f64 (.f64 (log.f64 x) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/6 binary64))) (.f64 x (.f64 n (.f64 n n)))))))))))) (/.f64 (.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x)))) (.f64 x (.f64 n (.f64 n n))))) (/.f64 (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 x)))) (.f64 x (.f64 n n)))))) n)
(/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) (* n x))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) (* n x))))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (.f64 x n))) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) x)) (/.f64 (log.f64 x) n)) n))
(* -1 (/ (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (+ (* -1 (+ (* -1 (log x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) x)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) (* n x))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (/ 1/6 (* n (pow x 2))) (/ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* n x)))))) n))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) x)) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x n)))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 x x)) (/.f64 (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (.f64 x n))))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x))) n)) n))
(* -1 (/ (+ (* -1 (/ (+ x (* -1 (- 1/2 (* 1/3 (/ 1 x))))) x)) (* -1 (/ (+ (* -1 (+ (* -1 (log x)) (* -1 (/ (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) x)))) (* -1 (/ (+ (* -1 (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/2 (pow (log x) 2)) (/ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) x))))) (+ (* -1 (/ (* (log x) (+ (* 1/2 (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x))))) (+ (* (log x) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* 1/6 (/ 1 x))))) (* n x))) (+ (* -1/6 (/ (pow (log x) 3) n)) (+ (* 1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) (* n x))) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (+ (* 1/2 (/ 1 x)) (* (log x) (- 1/2 (* 1/3 (/ 1 x))))))) (* n x))))))) n))) n))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) x)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) x))) (/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 x n)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))) n))) (/.f64 (.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))) (.f64 x n))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) x)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (log.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x)))) n)) n)) n))

eval167.0ms (0.4%)

Compiler: Compiled 48280 to 6418 computations (86.7% saved)

prune146.0ms (0.3%)

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1199	20	1219
Fresh	4	15	19
Picked	3	2	5
Done	0	2	2
Total	1206	39	1245

Accuracy

100.0%

Counts

1245 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
	47.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
	57.1%	(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
	41.7%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	41.0%	(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
	35.3%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	29.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
	7.2%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
	14.9%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
	32.2%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
	34.7%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
	14.6%	(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
	26.5%	(/.f64 (-.f64 (.f64 n x) (.f64 n (log.f64 x))) (*.f64 n n))
	9.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
	42.9%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
	44.3%	(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
✓	31.2%	(/.f64 (-.f64 x (log.f64 x)) n)
	29.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
	32.5%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
	58.5%	(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
	4.8%	(/.f64 x n)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))))
	31.2%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
	41.5%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	42.5%	(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
	20.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓	29.2%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.4%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
✓	38.1%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	47.4%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
	31.2%	(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) #s(literal -1 binary64)))
	31.2%	(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
	7.1%	(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
	10.0%	(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
	6.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
	1.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
	41.2%	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x)))
	14.1%	(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 x (log.f64 x)))) #s(literal -1 binary64)))
✓	30.7%	#s(literal 0 binary64)

Compiler

Compiled 2272 to 752 computations (66.9% saved)

regimes77.0ms (0.2%)

Counts

73 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x)))
(/.f64 (-.f64 (.f64 n x) (.f64 n (log.f64 x))) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (*.f64 x n))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) #s(literal -1 binary64)))
(-.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 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 x (log.f64 x)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))

Outputs

(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)

(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

4 calls:

18.0ms	(/.f64 #s(literal 1 binary64) n)
18.0ms	x
18.0ms	n
14.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
87.2%	4	`x`
86.3%	3	`n`
84.8%	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)))`
86.7%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes25.0ms (0.1%)

Counts

66 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x)))
(/.f64 (-.f64 (.f64 n x) (.f64 n (log.f64 x))) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (*.f64 x n))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) #s(literal -1 binary64)))
(-.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 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 x (log.f64 x)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (.f64 n (.f64 n n)))))) (.f64 x (*.f64 x x))))))) x)

Outputs

(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))

(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
86.6%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes66.0ms (0.1%)

Counts

62 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x)))
(/.f64 (-.f64 (.f64 n x) (.f64 n (log.f64 x))) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (*.f64 x n))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) #s(literal -1 binary64)))
(-.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 (/.f64 #s(literal 1 binary64) n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) (.f64 n (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) x)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) n) x) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 x (log.f64 x)))) #s(literal -1 binary64)))

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

Calls

4 calls:

16.0ms	x
15.0ms	(/.f64 #s(literal 1 binary64) n)
15.0ms	n
12.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
82.3%	4	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
82.1%	2	`x`
82.5%	4	`n`
82.5%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes19.0ms (0%)

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x)))
(/.f64 (-.f64 (.f64 n x) (.f64 n (log.f64 x))) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (*.f64 x n))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
82.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.1%)

Counts

43 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.4%	5	`n`
82.4%	4	`(/.f64 #s(literal 1 binary64) n)`
76.5%	4	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0%)

Counts

41 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
82.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0%)

Counts

40 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
82.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.1%)

Counts

39 → 4

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))

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

Calls

3 calls:

11.0ms	n
10.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	x

Results

Accuracy	Segments	Branch
65.6%	5	`x`
75.8%	4	`n`
75.8%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.1%)

Counts

38 → 5

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))

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

Calls

3 calls:

10.0ms	(/.f64 #s(literal 1 binary64) n)
10.0ms	x
10.0ms	n

Results

Accuracy	Segments	Branch
64.6%	5	`x`
65.9%	6	`n`
66.6%	7	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0%)

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
61.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0%)

Counts

33 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))

Outputs

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

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

#s(literal 0 binary64)

Calls

2 calls:

9.0ms	x
9.0ms	n

Results

Accuracy	Segments	Branch
60.7%	5	`n`
60.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) n) x) (.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) n) (.f64 n (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (.f64 n n))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 n x)) (.f64 n (/.f64 #s(literal 1/2 binary64) x))) (.f64 n (.f64 n x)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 (.f64 n x) x)) (.f64 n #s(literal 1/2 binary64))) (.f64 n (.f64 (.f64 n x) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n))) x)
(/.f64 (-.f64 (.f64 n x) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 n x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 x n) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 n x) x)) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 n x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x)))) (.f64 (*.f64 n x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (.f64 n n)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 (-.f64 (.f64 (.f64 n (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x n)) #s(literal 1/2 binary64))) (.f64 x (.f64 n (.f64 n n)))) (.f64 n (.f64 x (.f64 (.f64 n n) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x n) (.f64 n n))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 n (.f64 n n))) (.f64 x (.f64 n (*.f64 n n))))))))

Outputs

(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))

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

Calls

3 calls:

9.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) n)
8.0ms	n

Results

Accuracy	Segments	Branch
55.3%	3	`n`
55.0%	2	`(/.f64 #s(literal 1 binary64) n)`
50.5%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x n))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
55.0%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (.f64 x x)))

Outputs

(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))

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

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

Calls

2 calls:

4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n

Results

Accuracy	Segments	Branch
55.2%	3	`n`
55.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 x n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))

Outputs
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x))))

Calls

2 calls:

4.0ms	(/.f64 #s(literal 1 binary64) n)
4.0ms	n

Results

Accuracy	Segments	Branch
55.2%	3	`n`
55.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
44.8%	2	`x`
47.9%	3	`n`
46.7%	2	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
47.6%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -17.4b remaining (-39.2%)

Threshold costs -17.4b (-39.2%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	n
2.0ms	x

Results

Accuracy	Segments	Branch
30.7%	1	`x`
30.7%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-2.9888729767706075e-17	-1.4512031915535515e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-2.9888729767706075e-17	-1.4512031915535515e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch20.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.2900274384086348	1.1159083593532415

Results

12.0ms	48×	1	valid
4.0ms	32×	0	valid

Compiler

Compiled 155 to 102 computations (34.2% saved)

Precisions

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

ival-pow: 8.0ms (69.9% of total)

ival-div: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

backward-pass: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

bsearch18.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.2900274384086348	1.1159083593532415

Results

10.0ms	43×	1	valid
4.0ms	37×	0	valid

Compiler

Compiled 155 to 107 computations (31% saved)

Precisions

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

ival-pow: 8.0ms (74.3% of total)

ival-div: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

ival-sub: 1.0ms (9.3% of total)

backward-pass: 1.0ms (9.3% of total)

const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.2490304176198814e+165	1.306194787880342e+169
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-2.9888729767706075e-17	-1.4512031915535515e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.0368999770080685e+143	1.9980712345334625e+148
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-2.9888729767706075e-17	-1.4512031915535515e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.0368999770080685e+143	1.9980712345334625e+148
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-2.9888729767706075e-17	-1.4512031915535515e-19

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.0368999770080685e+143	1.9980712345334625e+148
0.0ms	222243.79927889328	2.0474463271059574e+34
0.0ms	-0.6321119518128173	-0.004117547948982504

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch230.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
52.0ms	4.6753931171323826e+98	4.216797708580665e+114
18.0ms	0.2900274384086348	1.1159083593532415
80.0ms	1.6807284685631392e-252	5.305477191572473e-246
73.0ms	2.0400309669892627e-286	3.577888385991851e-283

Results

152.0ms	273×	1	valid
31.0ms	79×	2	valid
19.0ms	160×	0	valid
3.0ms	23×	0	unsamplable

Compiler

Compiled 698 to 506 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-pow: 145.0ms (83.2% of total)

backward-pass: 9.0ms (5.2% of total)

ival-div: 8.0ms (4.6% of total)

ival-add: 6.0ms (3.4% of total)

ival-sub: 5.0ms (2.9% of total)

const: 1.0ms (0.6% of total)

bsearch78.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	4.6753931171323826e+98	4.216797708580665e+114
18.0ms	0.2900274384086348	1.1159083593532415

Results

36.0ms	87×	2	valid
16.0ms	72×	1	valid
9.0ms	81×	0	valid
4.0ms	31×	0	unsamplable

Compiler

Compiled 375 to 277 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 34.0ms (69.1% of total)

ival-div: 4.0ms (8.1% of total)

backward-pass: 4.0ms (8.1% of total)

ival-sub: 3.0ms (6.1% of total)

ival-add: 3.0ms (6.1% of total)

const: 1.0ms (2% of total)

bsearch75.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	4.6753931171323826e+98	4.216797708580665e+114
18.0ms	0.2900274384086348	1.1159083593532415

Results

32.0ms	81×	2	valid
19.0ms	82×	1	valid
9.0ms	77×	0	valid
3.0ms	23×	0	unsamplable

Compiler

Compiled 375 to 282 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 32.0ms (68.2% of total)

ival-div: 4.0ms (8.5% of total)

backward-pass: 4.0ms (8.5% of total)

ival-sub: 3.0ms (6.4% of total)

ival-add: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-19603245770896170.0	-37739398.77823751

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-19603245770896170.0	-37739398.77823751

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7168315850570075e-19	5.953335643975489e-19
0.0ms	-37739398.77823751	-0.6321119518128173

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3485331274844415e+78	3.185999132860074e+100
0.0ms	-37739398.77823751	-0.6321119518128173

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-19603245770896170.0	-37739398.77823751

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch42.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.965374811889932e-240	-5.850398799405352e-242
22.0ms	-2.6497507442451675e-8	-5.10119605542386e-17

Results

30.0ms

256×

valid

Compiler

Compiled 212 to 172 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 17.0ms (77.3% of total)

ival-div: 2.0ms (9.1% of total)

ival-sub: 1.0ms (4.5% of total)

ival-add: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify71.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-lft-neg-in_binary64`
272×	`neg-mul-1_binary64`
266×	`neg-sub0_binary64`
240×	`cancel-sign-sub_binary64`
226×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	634
1	185	634
2	230	634
3	268	634
4	308	634
5	381	634
6	532	634
7	741	634
8	979	634
9	1261	634
10	1412	634
11	1507	634
12	1577	634
13	1643	634
14	1676	634
15	1688	634
16	1692	634

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 5404319552844595/18014398509481984 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))
(if (<=.f64 x #s(literal 5404319552844595/18014398509481984 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (log.f64 x) n) x))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (*.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 400000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n))))
(if (<=.f64 x #s(literal 7010847332175773/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 5571856383071469/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 440000000000000014767947657197280224285723204107668007720005768749462990982746405631409820198533857280 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 449999999999999984947710223467428382324947866571069521804164756054593737796947679601452360897613128531968 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)))
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#s(literal 0 binary64)

Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (.f64 n (*.f64 x x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 x (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (.f64 n (*.f64 x x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000000000000033974485734758811904595479698395042463579996410811187623624704 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/3 binary64) (.f64 n (.f64 x (.f64 x x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10000000000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 n #s(literal -3929008913747545/151115727451828646838272 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 n #s(literal -225225504864141/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
(if (<=.f64 n #s(literal -3929008913747545/151115727451828646838272 binary64)) (/.f64 #s(literal 1 binary64) (.f64 n x)) (if (<=.f64 n #s(literal -225225504864141/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 n x))))
#s(literal 0 binary64)

soundness2.3s (5.1%)

Rules

4972×	`-lowering-.f32`
4972×	`-lowering-.f64`
4962×	`-lowering-.f32`
4962×	`-lowering-.f64`
4266×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	393
1	253	351
2	1725	345
0	8911	345
0	54	305
1	253	276
2	1508	276
0	8675	276
0	1576	13570
1	5727	12694
0	8377	12694
0	727	6104
1	2446	5401
0	8298	5401
0	48	220
1	225	201
2	1463	188
0	8858	188
0	8	26
1	28	24
2	81	24
3	286	24
4	672	24
5	1730	24
6	6840	24
0	8314	24
0	1297	11734
1	4532	10601
0	8443	10601
0	263	1600
1	811	1384
2	2558	1304
0	8236	1304

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1687 to 865 computations (48.7% saved)

preprocess81.0ms (0.2%)

Compiler: Compiled 1340 to 292 computations (78.2% saved)

Iter	Nodes	Cost
0	8	29
1	14	29
2	18	29
3	25	29
4	35	29
5	67	29
6	125	29
7	213	29
8	297	29
9	403	29
10	481	29
11	487	29
0	487	29

Iter	Nodes	Cost
0	8	29
1	14	29
2	18	29
3	25	29
4	35	29
5	67	29
6	125	29
7	213	29
8	297	29
9	403	29
10	481	29
11	487	29
0	487	29

analyze367.0ms (0.8%)

sample33.3s (73.3%)

preprocess54.0ms (0.1%)

explain286.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.1%)

localize150.0ms (0.3%)

series54.0ms (0.1%)

rewrite195.0ms (0.4%)

simplify250.0ms (0.6%)

eval39.0ms (0.1%)

prune55.0ms (0.1%)

simplify160.0ms (0.4%)

localize1.4s (3.1%)

series146.0ms (0.3%)

rewrite272.0ms (0.6%)

simplify389.0ms (0.9%)

eval242.0ms (0.5%)

prune186.0ms (0.4%)

simplify170.0ms (0.4%)

localize1.1s (2.4%)

series29.0ms (0.1%)

rewrite236.0ms (0.5%)

simplify259.0ms (0.6%)

eval120.0ms (0.3%)

prune109.0ms (0.2%)

simplify160.0ms (0.4%)

localize1.4s (3%)

series53.0ms (0.1%)

rewrite230.0ms (0.5%)

simplify313.0ms (0.7%)

eval167.0ms (0.4%)

prune146.0ms (0.3%)

regimes77.0ms (0.2%)

regimes25.0ms (0.1%)

regimes66.0ms (0.1%)

regimes19.0ms (0%)

regimes39.0ms (0.1%)

regimes15.0ms (0%)

regimes15.0ms (0%)

regimes36.0ms (0.1%)

regimes34.0ms (0.1%)

regimes14.0ms (0%)

regimes22.0ms (0%)

regimes28.0ms (0.1%)

regimes6.0ms (0%)

regimes9.0ms (0%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0%)

bsearch18.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch230.0ms (0.5%)

bsearch78.0ms (0.2%)

bsearch75.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.1%)

simplify71.0ms (0.2%)

soundness2.3s (5.1%)

preprocess81.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	29
1	14	29
2	18	29
3	25	29
4	35	29
5	67	29
6	125	29
7	213	29
8	297	29
9	403	29
10	481	29
11	487	29
0	487	29