Metrics for 2nthrt (problem 3.4.6)

analyze311.0ms (0.7%)

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: 211.0ms

ival-pow: 170.0ms (80.5% of total)

ival-div: 16.0ms (7.6% of total)

ival-add: 12.0ms (5.7% of total)

ival-sub: 10.0ms (4.7% of total)

const: 2.0ms (0.9% of total)

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

sample31.3s (73%)

Results

25.5s	7226×	5	exit
2.5s	3762×	1	valid
1.0s	1964×	2	valid
559.0ms	2530×	0	valid
249.0ms	1549×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 27.8s

ival-pow: 25.3s (91.1% of total)

backward-pass: 789.0ms (2.8% of total)

ival-div: 664.0ms (2.4% of total)

ival-add: 561.0ms (2% of total)

ival-sub: 394.0ms (1.4% of total)

const: 65.0ms (0.2% of total)

Bogosity

preprocess59.0ms (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)))

explain419.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	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)))`
32	55	(4.804131586016037e+75 -3.8374172702968985e-157)	-	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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	56	(4.804131586016037e+75 -3.8374172702968985e-157)	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

230.0ms	282×	1	valid
90.0ms	148×	2	valid
12.0ms	82×	0	valid

Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-pow: 233.0ms (86.1% of total)

backward-pass: 11.0ms (4.1% of total)

ival-add: 10.0ms (3.7% of total)

ival-div: 9.0ms (3.3% of total)

ival-sub: 6.0ms (2.2% of total)

const: 2.0ms (0.7% 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
▶	46.4%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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))

localize170.0ms (0.4%)

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	88.4%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	53.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

104.0ms	141×	1	valid
40.0ms	74×	2	valid
11.0ms	41×	0	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow: 89.0ms (81.3% of total)

backward-pass: 7.0ms (6.4% of total)

ival-div: 5.0ms (4.6% of total)

ival-sub: 5.0ms (4.6% of total)

ival-add: 4.0ms (3.7% of total)

const: 1.0ms (0.9% of total)

series79.0ms (0.2%)

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
41.0ms	x	@	0	(pow x (/ 1 n))
20.0ms	x	@	-inf	(pow x (/ 1 n))
9.0ms	x	@	inf	(pow x (/ 1 n))
1.0ms	x	@	inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms	x	@	-inf	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite262.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2426×	`-lowering-.f32`
2426×	`-lowering-.f64`
1710×	`fma-lowering-fma.f32`
1710×	`fma-lowering-fma.f64`
1584×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	59	24
2	420	24
3	4779	24
0	8255	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 279

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

simplify272.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4290×	`-lowering-.f32`
4290×	`-lowering-.f64`
3598×	`+-lowering-+.f64`
3598×	`+-lowering-+.f32`
2174×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	1600
1	811	1440
2	2556	1362
0	8249	1362

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

eval66.0ms (0.2%)

Compiler: Compiled 13112 to 1271 computations (90.3% saved)

prune60.0ms (0.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	420	15	435
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	421	15	436

Accuracy

99.8%

Counts

436 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
▶	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	24.5%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
	24.5%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶	73.6%	(/.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))
	60.1%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	40.1%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
	65.6%	(/.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)
	19.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	24.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.9%	(-.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)))
▶	13.2%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	53.0%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	33.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	17.0%	(+.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 #s(literal -1/2 binary64) n))))))

Compiler

Compiled 712 to 414 computations (41.9% saved)

simplify188.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2740×	`-lowering-.f32`
2740×	`-lowering-.f64`
2462×	`+-lowering-+.f64`
2462×	`+-lowering-+.f32`
1240×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	555
1	149	541
2	473	541
3	1764	540
0	8866	540

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.1s (2.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	accuracy	70.5%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	98.5%	(.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)))))
✓	accuracy	98.1%	(.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))
✓	accuracy	94.7%	(+.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	70.5%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(*.f64 x n)
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	accuracy	94.8%	(/.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	70.5%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.8%	(/.f64 #s(literal -1/6 binary64) n)
✓	accuracy	99.8%	(*.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))))
✓	accuracy	99.7%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.5%	(pow.f64 (log.f64 x) #s(literal 3 binary64))

Results

761.0ms	118×	5	exit
120.0ms	54×	2	valid
89.0ms	60×	1	valid
19.0ms	23×	0	unsamplable
1.0ms	1×	0	valid

Compiler

Compiled 605 to 58 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 822.0ms

ival-pow: 263.0ms (32% of total)

ival-log: 120.0ms (14.6% of total)

backward-pass: 91.0ms (11.1% of total)

ival-exp: 80.0ms (9.7% of total)

ival-div: 76.0ms (9.2% of total)

...c/correct-round.rkt:119:19: 49.0ms (6% of total)

ival-mult: 43.0ms (5.2% of total)

ival-sub: 42.0ms (5.1% of total)

compiled-spec: 31.0ms (3.8% of total)

ival-add: 26.0ms (3.2% of total)

const: 3.0ms (0.4% of total)

series130.0ms (0.3%)

Counts

27 → 540

Calls

Call 1

Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log 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 (- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))>
#<alt (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))>
#<alt (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (log (+ 1 x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
#<alt (/ -1/6 n)>
#<alt (* x n)>
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))>
#<alt (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))>

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

Calls

135 calls:

Time	Variable		Point	Expression
28.0ms	n	@	0	(/ (log (+ 1 x)) n)
12.0ms	n	@	0	(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
9.0ms	x	@	0	(/ (/ 1 (pow x (/ -1 n))) (* x n))
6.0ms	x	@	-inf	(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
6.0ms	x	@	-inf	(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))

rewrite305.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2508×	`/-lowering-/.f32`
2508×	`/-lowering-/.f64`
1508×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	355
1	463	328
2	5479	328
0	8071	328

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 478

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n)))) (.f64 n n) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n n)))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 n n))) n (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n n)))))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n))
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (/.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
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(+.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 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 n n))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.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))))))))
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(fma.f64 x (+.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)))) (.f64 x x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x (.f64 (+.f64 (/.f64 #s(literal 1/6 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 (pow.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (.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 #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 x (+.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)))) (*.f64 x x))))))
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(/.f64 (.f64 x (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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 (.f64 (+.f64 (.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 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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 (+.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 1/6 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))))) x) (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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 (.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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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))))))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (.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))))))) x)
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.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 #s(literal 1/3 binary64) n))) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) x) (.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) x))
(fma.f64 x (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) x (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (-.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))))
(/.f64 (.f64 x (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))))))
(/.f64 (.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (-.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 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) 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 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 #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)

simplify353.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3572×	`-lowering-.f32`
3572×	`-lowering-.f64`
3166×	`+-lowering-+.f64`
3166×	`+-lowering-+.f32`
1712×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1322	11436
1	4580	10803
0	8358	10803

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

eval200.0ms (0.5%)

Compiler: Compiled 53961 to 4218 computations (92.2% saved)

prune134.0ms (0.3%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1254	29	1283
Fresh	10	0	10
Picked	4	1	5
Done	0	0	0
Total	1268	30	1298

Accuracy

100.0%

Counts

1298 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	56.5%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
	49.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
	12.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n n))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n n))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (.f64 n n)))) (.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))))
	35.5%	(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
▶	47.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
▶	34.4%	(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n)
	39.9%	(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	10.3%	(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
	9.7%	(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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)))
	47.5%	(/.f64 (+.f64 (log.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) n))
	33.4%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
	12.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
▶	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
	41.7%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	24.9%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	18.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	7.6%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
	25.9%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
	43.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	33.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	30.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	34.4%	(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
	19.0%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n)))) (.f64 n n))
	57.4%	(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
	4.0%	(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
	8.5%	(.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)))))
	4.7%	(.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))))))

Compiler

Compiled 2077 to 996 computations (52% saved)

simplify154.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))
✓	cost-diff	0	(.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64))
✓	cost-diff	6592	(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))))
✓	cost-diff	6592	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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	256	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) n)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))

Rules

2430×	`-lowering-.f32`
2430×	`-lowering-.f64`
2340×	`+-lowering-+.f64`
2340×	`+-lowering-+.f32`
1410×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	738
1	190	705
2	571	700
3	1916	696
4	7703	694
0	8176	694

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.4s (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.7%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	99.7%	(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.9%	(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n)
✓	accuracy	98.9%	(.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)))))
✓	accuracy	96.9%	(+.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	96.5%	(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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))))))
✓	accuracy	86.7%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
✓	accuracy	99.8%	(/.f64 #s(literal 1/6 binary64) n)
✓	accuracy	99.8%	(.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
✓	accuracy	99.7%	(pow.f64 (log.f64 x) #s(literal 3 binary64))

Results

1.2s	182×	5	exit
122.0ms	73×	1	valid
1.0ms	1×	0	valid

Compiler

Compiled 789 to 68 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log: 455.0ms (45% of total)

backward-pass: 133.0ms (13.2% of total)

ival-div: 109.0ms (10.8% of total)

ival-mult: 93.0ms (9.2% of total)

ival-add: 61.0ms (6% of total)

ival-pow: 54.0ms (5.3% of total)

...c/correct-round.rkt:119:19: 45.0ms (4.5% of total)

ival-sub: 33.0ms (3.3% of total)

compiled-spec: 23.0ms (2.3% of total)

const: 4.0ms (0.4% of total)

series73.0ms (0.2%)

Counts

27 → 492

Calls

Call 1

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

Outputs
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))>
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n))))) (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)))) (* x (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/6 (/ 1 (pow n 3)))))))) (/ 1 n)))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)>
#<alt (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) (* n x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) (* n x))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))))) (/ 1/3 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) (* n x))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))))) (* -1 (/ (- (+ (* -1 (- (* 1/3 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) n)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))))) (/ 1/4 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) (* n x))))) x))) x)) (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n))) x))>
#<alt (* 6 (/ (pow n 3) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))>
#<alt (* (pow n 3) (+ (* -18 (/ (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (* 6 (/ 1 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))))>
#<alt (* (pow n 3) (+ (* n (+ (* -18 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (* n (+ (* 36 (/ (log (/ x (+ 1 x))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (* 54 (/ (* (pow (log (* x (+ 1 x))) 2) (pow (log (/ (+ 1 x) x)) 2)) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 3))))))) (* 6 (/ 1 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))))>
#<alt (* (pow n 3) (+ (* n (+ (* -18 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (* n (+ (* 36 (/ (log (/ x (+ 1 x))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (+ (* 54 (/ (* (pow (log (* x (+ 1 x))) 2) (pow (log (/ (+ 1 x) x)) 2)) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 3))) (* n (+ (* -108 (/ (* (log (* x (+ 1 x))) (* (log (/ x (+ 1 x))) (log (/ (+ 1 x) x)))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 3))) (* -3 (/ (* (log (* x (+ 1 x))) (* (log (/ (+ 1 x) x)) (+ (* 36 (/ (log (/ x (+ 1 x))) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 2))) (* 54 (/ (* (pow (log (* x (+ 1 x))) 2) (pow (log (/ (+ 1 x) x)) 2)) (pow (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 3)))))) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))))))))) (* 6 (/ 1 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))))>
#<alt (* -1 (/ n (log (/ x (+ 1 x)))))>
#<alt (* n (- (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (* n (pow (log (/ x (+ 1 x))) 2)))) (/ 1 (log (/ x (+ 1 x))))))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ x (pow n 3)))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))>
#<alt (/ (- (* 1/3 x) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)>
#<alt (* -1 (/ (+ 1/2 (* -1/3 x)) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))>
#<alt (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* 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)))>
#<alt (- (+ (* 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)))>
#<alt (- (+ (* 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)))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 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 (* x (- (+ (* 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 (* x (- (+ (* 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 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* -1 (* x (+ (* -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 (* x (+ (* -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 (* x (+ (* -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 (/ 1/6 (pow n 3))>
#<alt (/ (+ 1/6 (* -1/2 n)) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ 1/3 n)>
#<alt (/ (- 1/3 (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ 1/3 n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* 1/6 (/ x (pow n 3)))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))>
#<alt (* 1/3 (/ x n))>
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n)>
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)>
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)>
#<alt (* 1/3 (/ x n))>
#<alt (* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<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)>

Calls

123 calls:

Time	Variable		Point	Expression
5.0ms	n	@	inf	(/ (- (* (/ (pow (log x) 3) (* n n)) -1/6) (+ (log x) (* (/ (pow (log x) 2) n) 1/2))) n)
4.0ms	x	@	-inf	(/ (- 0 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
4.0ms	x	@	inf	(/ (- 0 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
4.0ms	n	@	inf	(/ (- 0 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
3.0ms	x	@	-inf	(/ 1 (/ (- 0 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))))

rewrite300.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
2796×	`/-lowering-/.f32`
2796×	`/-lowering-/.f64`
1796×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	456
1	516	421
2	6077	421
0	8029	421

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 533

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n))))
(+.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) n)) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (.f64 (log.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) n))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (-.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
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(/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (.f64 n (.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 n (.f64 n n))) (.f64 n (.f64 n n)))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) #s(literal -1/6 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (-.f64 #s(literal 0 binary64) (.f64 n (*.f64 n n)))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 n n))) (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 n n))) (.f64 n (.f64 n n))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1/6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (.f64 n (.f64 n n))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 n n))) (.f64 n n)) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) n))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (.f64 n n)))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 n n))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal -1/6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))))
(/.f64 (neg.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (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))))))
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(/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))
(.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))))))))
(.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (/.f64 #s(literal 1 binary64) (-.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 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.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 #s(literal 1/3 binary64) n))) (.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(+.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) x) (.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) x))
(fma.f64 x (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) x (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (-.f64 (/.f64 x (/.f64 (.f64 n (.f64 n n)) #s(literal 1/6 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))))
(/.f64 (.f64 x (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))))))
(/.f64 (.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) (-.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 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))))) 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 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 #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)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) x (.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal -1/8 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/4 binary64))) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1/4 binary64)) x) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) 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 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))

simplify350.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

4662×	`-lowering-.f32`
4662×	`-lowering-.f64`
2932×	`+-lowering-+.f64`
2932×	`+-lowering-+.f32`
2094×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1337	15076
1	4619	14169
0	8334	14169

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

eval142.0ms (0.3%)

Compiler: Compiled 54129 to 4317 computations (92% saved)

prune138.0ms (0.3%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1019	26	1045
Fresh	14	10	24
Picked	5	0	5
Done	0	1	1
Total	1038	37	1075

Accuracy

100.0%

Counts

1075 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	56.5%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
	15.3%	(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n))) (+.f64 (.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) n)) (/.f64 (log.f64 x) n)))))
	39.9%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	47.5%	(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)
	33.3%	(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
▶	34.4%	(/.f64 (-.f64 x (log.f64 x)) n)
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	33.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))
	2.9%	(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x x)))) n)
	3.8%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
	12.6%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
	4.6%	(/.f64 x n)
	49.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
	41.7%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	24.9%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	18.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	8.2%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
	15.1%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
	2.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
	2.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
	6.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
▶	9.3%	(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
	4.1%	(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
	25.9%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
	43.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	33.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	60.2%	(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
▶	13.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
	34.4%	(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
	11.6%	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
	4.5%	(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
	8.5%	(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
▶	30.4%	#s(literal 0 binary64)

Compiler

Compiled 1947 to 994 computations (48.9% saved)

simplify146.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (*.f64 n n))))
✓	cost-diff	768	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n 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 n n)
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) (*.f64 n n))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
✓	cost-diff	0	(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))

Rules

2282×	`-lowering-.f32`
2282×	`-lowering-.f64`
1900×	`fnmadd-define`
1744×	`fma-lowering-fma.f32`
1744×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	218
1	100	204
2	265	195
3	949	189
4	4663	189
0	8462	189

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize179.0ms (0.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 n (.f64 n n))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	81.0%	(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (*.f64 n n))))
✓	accuracy	49.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(-.f64 x (log.f64 x))
✓	accuracy	99.8%	(/.f64 (-.f64 x (log.f64 x)) n)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 1/6 binary64) (*.f64 n n))
✓	accuracy	94.4%	(/.f64 (.f64 x (.f64 x x)) n)
✓	accuracy	80.2%	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)
✓	accuracy	57.5%	(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))

Results

89.0ms	116×	1	valid
46.0ms	140×	0	valid

Compiler

Compiled 249 to 34 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 22.0ms (25.1% of total)

ival-log: 17.0ms (19.4% of total)

ival-div: 15.0ms (17.1% of total)

ival-sub: 10.0ms (11.4% of total)

...c/correct-round.rkt:119:19: 10.0ms (11.4% of total)

backward-pass: 7.0ms (8% of total)

ival-add: 6.0ms (6.8% of total)

const: 1.0ms (1.1% of total)

series75.0ms (0.2%)

Counts

20 → 336

Calls

Call 1

Inputs
#<alt (- 0 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (log (/ x (+ 1 x))) n)>
#<alt (log (/ x (+ 1 x)))>
#<alt (/ x (+ 1 x))>
#<alt (- (* (/ 1/6 (* n n)) (/ (* x (* x x)) n)) 1)>
#<alt (* (/ 1/6 (* n n)) (/ (* x (* x x)) n))>
#<alt (/ 1/6 (* n n))>
#<alt (* n n)>
#<alt (/ (- x (log x)) n)>
#<alt (- x (log x))>
#<alt (log x)>
#<alt (* (/ (- 0 (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x))) (- 0 (* n (* n n)))) (* n n))>
#<alt (/ (- 0 (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x))) (- 0 (* n (* n n))))>
#<alt (- 0 (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x)))>
#<alt (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x))>
#<alt (+ 1 x)>
#<alt (/ (* x (* x x)) n)>
#<alt (* x (* x x))>
#<alt (* x 1/3)>
#<alt (* n (* n n))>

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

Calls

84 calls:

Time	Variable		Point	Expression
44.0ms	n	@	inf	(- 0 (/ (log (/ x (+ 1 x))) n))
13.0ms	n	@	0	(- 0 (/ (log (/ x (+ 1 x))) n))
1.0ms	n	@	0	(- (* (/ 1/6 (* n n)) (/ (* x (* x x)) n)) 1)
1.0ms	n	@	0	(* (/ (- 0 (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x))) (- 0 (* n (* n n)))) (* n n))
1.0ms	n	@	inf	(* (/ (- 0 (- (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) (log x))) (- 0 (* n (* n n)))) (* n n))

rewrite276.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4292×	`-lowering-.f32`
4292×	`-lowering-.f64`
3426×	`/-lowering-/.f32`
3426×	`/-lowering-/.f64`
2166×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	154
1	241	139
2	2350	132
0	9213	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 490

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 3 binary64)))) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(/.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) n)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 3 binary64))) (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) n) (.f64 (/.f64 n (log.f64 x)) (log1p.f64 x))) (*.f64 (/.f64 n (log.f64 x)) n))
(/.f64 (-.f64 (.f64 (log.f64 x) n) (.f64 n (log1p.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) (.f64 (-.f64 #s(literal 0 binary64) n) (log1p.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(pow.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 x))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (.f64 x x)))))))
(fma.f64 x (.f64 (/.f64 (.f64 x x) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 n (.f64 n n))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (.f64 x (.f64 x x)) n) (*.f64 n n)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (*.f64 x x)) n) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (.f64 (/.f64 (.f64 x (.f64 x x)) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n n))) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 n (*.f64 n n))) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 (*.f64 n n) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 #s(literal 1 binary64) (.f64 n n)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (.f64 x (.f64 x x)) (*.f64 n n)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (/.f64 (.f64 x (.f64 x x)) n) n) #s(literal -1 binary64))
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 n (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 x x)) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(pow.f64 (/.f64 n (.f64 x (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (.f64 x (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x x) n))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(.f64 (.f64 x x) (/.f64 x n))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) n))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) n) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))
(+.f64 (.f64 n (.f64 n n)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n))))
(fma.f64 n (*.f64 n n) #s(literal 0 binary64))
(fma.f64 (*.f64 n n) n #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n))) #s(literal 0 binary64))
(fma.f64 (pow.f64 n #s(literal 3/2 binary64)) (pow.f64 n #s(literal 3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n))))
(/.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (.f64 n n) (.f64 n (.f64 n (*.f64 n n)))))
(/.f64 (.f64 (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n))) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (*.f64 n n))))))
(/.f64 (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n)))) (.f64 n (*.f64 n n)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n)))))) (.f64 n (*.f64 n n)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n)))))) (.f64 (.f64 n n) (.f64 n (.f64 n (*.f64 n n)))))
(pow.f64 n #s(literal 3 binary64))
(pow.f64 (*.f64 n n) #s(literal 3/2 binary64))
(pow.f64 (.f64 n (.f64 n n)) #s(literal 1 binary64))
(pow.f64 (pow.f64 n #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal 3 binary64))
(.f64 n (.f64 n n))
(.f64 (.f64 n n) n)
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 (pow.f64 n #s(literal 3/2 binary64)) (pow.f64 n #s(literal 3/2 binary64)))

simplify230.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4794×	`-lowering-.f32`
4794×	`-lowering-.f64`
2554×	`+-lowering-+.f64`
2554×	`+-lowering-+.f32`
1650×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	3006
1	1287	2899
2	3975	2821
0	8263	2821

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval104.0ms (0.2%)

Compiler: Compiled 20092 to 2089 computations (89.6% saved)

prune115.0ms (0.3%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	864	17	881
Fresh	12	19	31
Picked	3	2	5
Done	0	1	1
Total	879	39	918

Accuracy

100.0%

Counts

918 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
	56.0%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
	42.1%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	39.9%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	47.5%	(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)
	29.2%	(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
	36.5%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
✓	34.4%	(/.f64 (-.f64 x (log.f64 x)) n)
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	2.0%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
	2.9%	(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x x)))) n)
	12.6%	(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
	60.2%	(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
	4.6%	(/.f64 x n)
	49.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
	41.7%	(/.f64 #s(literal 1 binary64) (*.f64 x n))
	60.2%	(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
	24.9%	(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	9.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	18.8%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	8.2%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
	2.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
	4.1%	(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
	10.7%	(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
	25.9%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
	43.8%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	33.8%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	45.0%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
	42.1%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
	13.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
	2.5%	(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
	15.8%	(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 n n))
	34.4%	(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
	11.6%	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
	4.5%	(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
	3.8%	(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
✓	30.4%	#s(literal 0 binary64)
	3.2%	#s(literal -1 binary64)

Compiler

Compiled 3171 to 887 computations (72% saved)

regimes98.0ms (0.2%)

Counts

88 → 2

Calls

Call 1

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

Outputs

(/.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))

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

Calls

4 calls:

24.0ms	(/.f64 #s(literal 1 binary64) n)
21.0ms	x
21.0ms	n
17.0ms	(-.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
92.2%	2	`x`
84.7%	4	`n`
79.9%	2	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
84.4%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes33.0ms (0.1%)

Counts

84 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) 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 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)
(/.f64 (+.f64 (log.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) 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)
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n))) (+.f64 (.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) n)) (/.f64 (log.f64 x) n)))))
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (.f64 n (-.f64 #s(literal 0 binary64) (.f64 n n)))) (.f64 n n))

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
92.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.1%)

Counts

82 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) 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 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)
(/.f64 (+.f64 (log.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) 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)
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n))) (+.f64 (.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) n)) (/.f64 (log.f64 x) n)))))
(.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
92.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.1%)

Counts

81 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) 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 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)
(/.f64 (+.f64 (log.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) 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)
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) n))) (+.f64 (.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) n)) (/.f64 (log.f64 x) n)))))

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.1%)

Counts

76 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) 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 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.1%)

Counts

75 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) 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 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))))

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
86.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.1%)

Counts

67 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) (.f64 n #s(literal 1 binary64))) (*.f64 n (/.f64 n (log.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

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

Calls

2 calls:

18.0ms	(/.f64 #s(literal 1 binary64) n)
16.0ms	x

Results

Accuracy	Segments	Branch
85.9%	4	`(/.f64 #s(literal 1 binary64) n)`
82.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes53.0ms (0.1%)

Counts

60 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.7%	3	`x`
83.0%	5	`n`
83.0%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts

56 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))
(-.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 #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 #s(literal -1/2 binary64) n))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
82.9%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0.1%)

Counts

53 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (.f64 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))))) (log.f64 x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 n n))) n))) (*.f64 x n))
(.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))) (log.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (.f64 n n))) (/.f64 #s(literal 1/6 binary64) (.f64 n (*.f64 n n)))))))))))) #s(literal 1 binary64))

Outputs

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

(-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.7%	3	`x`
83.3%	5	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0%)

Counts

40 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)

Outputs

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

(-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.1%)

Counts

39 → 6

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.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) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.1%	6	`n`
74.4%	6	`(/.f64 #s(literal 1 binary64) n)`
65.0%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.1%)

Counts

37 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))
(-.f64 #s(literal 0 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))))

Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.1%	4	`x`
64.7%	6	`n`
65.1%	6	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes27.0ms (0.1%)

Counts

32 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x (*.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) n)
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (*.f64 n n)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) (.f64 n (*.f64 n n)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))
(-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 (.f64 x (.f64 x x)) n)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 n (*.f64 n n))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1/3 binary64)) (neg.f64 (.f64 x (*.f64 x 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 x (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n))))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 n (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))))) (.f64 n (*.f64 n n)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))) #s(literal 1 binary64))
(.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 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 n (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.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 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.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)))))))))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 n n))) (/.f64 #s(literal 1 binary64) (.f64 n (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (.f64 x n))) x)) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) #s(literal 1 binary64))
(-.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) x)) (neg.f64 (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (.f64 x (/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/6 binary64) n) (.f64 n (.f64 n n))) (.f64 (.f64 n n) (+.f64 (.f64 (.f64 n n) #s(literal 1/3 binary64)) (.f64 n #s(literal -1/2 binary64))))) (.f64 (.f64 n n) (.f64 n (.f64 n n)))))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 n n) (.f64 n (.f64 n (.f64 n n))))) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (.f64 (/.f64 (.f64 x (.f64 x x)) n) (/.f64 (.f64 x (.f64 x x)) n)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) n)) (.f64 (.f64 n n) (.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n n)) (/.f64 n (.f64 x (*.f64 x x)))))))

Outputs

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

#s(literal 0 binary64)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.7%	3	`n`
51.4%	3	`(/.f64 #s(literal 1 binary64) n)`
45.0%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.9%	3	`(/.f64 #s(literal 1 binary64) n)`
50.9%	3	`n`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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
50.5%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#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	x
2.0ms	n

Results

Accuracy	Segments	Branch
30.4%	1	`x`
30.4%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	n

Results

Accuracy	Segments	Branch
3.2%	1	`x`
3.2%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch45.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	5.618518008827979e-6	64.07111635215193

Results

14.0ms	64×	1	valid
14.0ms	37×	2	valid
5.0ms	43×	0	valid
4.0ms	23×	0	unsamplable

Compiler

Compiled 488 to 309 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow: 21.0ms (73.8% of total)

ival-div: 2.0ms (7% of total)

backward-pass: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

bsearch40.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	5.618518008827979e-6	64.07111635215193

Results

13.0ms	62×	1	valid
11.0ms	29×	2	valid
6.0ms	53×	0	valid
2.0ms	14×	0	unsamplable

Compiler

Compiled 551 to 354 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-pow: 18.0ms (71.7% of total)

ival-div: 2.0ms (8% of total)

backward-pass: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

const: 0.0ms (0% of total)

bsearch40.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	5.618518008827979e-6	64.07111635215193

Results

14.0ms	69×	1	valid
10.0ms	29×	2	valid
5.0ms	46×	0	valid
2.0ms	15×	0	unsamplable

Compiler

Compiled 533 to 345 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-pow: 18.0ms (72.3% of total)

ival-div: 2.0ms (8% of total)

backward-pass: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

const: 0.0ms (0% of total)

bsearch37.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	5.618518008827979e-6	64.07111635215193

Results

21.0ms	89×	1	valid
6.0ms	52×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	0	unsamplable

Compiler

Compiled 371 to 246 computations (33.7% saved)

Precisions

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

ival-pow: 16.0ms (72.4% of total)

ival-div: 2.0ms (9% of total)

backward-pass: 1.0ms (4.5% of total)

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

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

const: 0.0ms (0% of total)

bsearch36.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	5.618518008827979e-6	64.07111635215193

Results

20.0ms	86×	1	valid
7.0ms	55×	0	valid
1.0ms	3×	2	valid
0.0ms	4×	0	unsamplable

Compiler

Compiled 371 to 246 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 17.0ms (75.5% of total)

ival-div: 2.0ms (8.9% of total)

backward-pass: 1.0ms (4.4% of total)

ival-sub: 1.0ms (4.4% of total)

ival-add: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

bsearch12.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1784962457282154e-11	1.216976976063245e-11
11.0ms	5.555562329330762e-74	6.427690243759701e-74

Results

9.0ms	27×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 78 to 52 computations (33.3% saved)

Precisions

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

ival-pow: 7.0ms (81.8% of total)

const: 0.0ms (0% of total)

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

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

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

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

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3096428.2740613488	263647769.80784547
0.0ms	5.660815879321452e-25	2.6154617473907933e-12
0.0ms	-9.293014597024387e-227	-3.1547847357480565e-228

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3096428.2740613488	263647769.80784547
0.0ms	5.660815879321452e-25	2.6154617473907933e-12
0.0ms	-9.293014597024387e-227	-3.1547847357480565e-228

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3096428.2740613488	263647769.80784547
0.0ms	5.660815879321452e-25	2.6154617473907933e-12
0.0ms	-9.293014597024387e-227	-3.1547847357480565e-228

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch11.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1784962457282154e-11	1.216976976063245e-11
10.0ms	5.555562329330762e-74	6.427690243759701e-74

Results

8.0ms	25×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 78 to 52 computations (33.3% saved)

Precisions

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

ival-pow: 6.0ms (85.4% of total)

const: 0.0ms (0% of total)

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

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

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

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

bsearch10.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1784962457282154e-11	1.216976976063245e-11
9.0ms	5.555562329330762e-74	6.427690243759701e-74

Results

7.0ms	21×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 78 to 52 computations (33.3% saved)

Precisions

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

ival-pow: 5.0ms (75% of total)

const: 0.0ms (0% of total)

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

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

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

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

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	9.816865118593328e+162	7.144884813755663e+167
0.0ms	1.7254004595889216e-11	9.340123106597248e-11
0.0ms	-9.293014597024387e-227	-3.1547847357480565e-228
0.0ms	-6.374448419551862e-77	-1.6523506689753308e-79
0.0ms	-7.332270094753058e+259	-1.4504815816985186e+249

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch74.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
34.0ms	4.786011998718969e+22	1.3152571727666253e+24
27.0ms	9.551778202912264e-9	6.138365148808359e-7
9.0ms	5.555562329330762e-74	6.427690243759701e-74

Results

32.0ms	125×	1	valid
17.0ms	43×	2	valid
11.0ms	88×	0	valid
2.0ms	14×	0	unsamplable

Compiler

Compiled 344 to 255 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow: 38.0ms (76.5% of total)

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

ival-add: 3.0ms (6% of total)

backward-pass: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

const: 1.0ms (2% of total)

bsearch56.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1.1191402923054746e-194	-2.3914126735990373e-200
31.0ms	-428.3047435804374	-0.024641000414185644

Results

26.0ms	216×	0	valid
11.0ms	24×	2	valid
7.0ms	32×	1	valid

Compiler

Compiled 314 to 254 computations (19.1% saved)

Precisions

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

ival-pow: 26.0ms (73% of total)

ival-div: 4.0ms (11.2% of total)

ival-sub: 2.0ms (5.6% of total)

ival-add: 2.0ms (5.6% of total)

backward-pass: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

bsearch49.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.604523296544202e-273	-5.195019010742883e-275
29.0ms	-428.3047435804374	-0.024641000414185644

Results

20.0ms	183×	0	valid
11.0ms	22×	2	valid
8.0ms	35×	1	valid

Compiler

Compiled 214 to 176 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow: 23.0ms (75.6% of total)

ival-div: 2.0ms (6.6% of total)

ival-add: 2.0ms (6.6% of total)

ival-sub: 2.0ms (6.6% of total)

backward-pass: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.604523296544202e-273	-5.195019010742883e-275
25.0ms	-428.3047435804374	-0.024641000414185644

Results

20.0ms	183×	0	valid
13.0ms	54×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 200 to 162 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 20.0ms (75.2% of total)

ival-div: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

backward-pass: 1.0ms (3.8% of total)

ival-sub: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch49.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7.604523296544202e-273	-5.195019010742883e-275
28.0ms	-428.3047435804374	-0.024641000414185644

Results

22.0ms	186×	0	valid
10.0ms	20×	2	valid
8.0ms	34×	1	valid

Compiler

Compiled 200 to 162 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 24.0ms (76.8% of total)

ival-div: 2.0ms (6.4% of total)

ival-add: 2.0ms (6.4% of total)

backward-pass: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

958×	`distribute-lft-neg-in_binary64`
502×	`neg-mul-1_binary64`
464×	`neg-sub0_binary64`
440×	`distribute-neg-in_binary64`
354×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	206	763
1	294	763
2	381	763
3	464	762
4	575	761
5	726	761
6	905	761
7	1116	761
8	1435	761
9	1836	761
10	2202	761
11	2499	761
12	2714	761
13	2850	761
14	2912	761
15	2934	761
16	2936	761
17	2936	761

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 18 binary64)) (/.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)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 63/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 7926335344172073/18014398509481984 binary64)) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 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 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -50000000000000003266738805287308653501605199739146814887821596086563461013494373946761448597312155060070293180948971897031843103500694344949068611787290981147319320624060201170423586274511321235373747132066454419887471021888328522748504544214667767597984907264 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6518515124270355/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n)))))))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2833419889721787/4722366482869645213696 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 54000000000000004194304 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n)))))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -5680946773672243/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -7918067634262499/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))))
(if (<=.f64 n #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -2284057971421875/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 n #s(literal -5457375846383999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
#s(literal 0 binary64)
#s(literal -1 binary64)

Outputs
(if (<=.f64 x #s(literal 18 binary64)) (/.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)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 18 binary64)) (/.f64 (+.f64 (/.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 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 63/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 63/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 7926335344172073/18014398509481984 binary64)) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 n n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)) n) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64)))) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 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 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -50000000000000003266738805287308653501605199739146814887821596086563461013494373946761448597312155060070293180948971897031843103500694344949068611787290981147319320624060201170423586274511321235373747132066454419887471021888328522748504544214667767597984907264 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6518515124270355/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -50000000000000003266738805287308653501605199739146814887821596086563461013494373946761448597312155060070293180948971897031843103500694344949068611787290981147319320624060201170423586274511321235373747132066454419887471021888328522748504544214667767597984907264 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6518515124270355/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) n))))))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2833419889721787/4722366482869645213696 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 54000000000000004194304 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n)))))
(if (<=.f64 x #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2833419889721787/4722366482869645213696 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) (if (<=.f64 x #s(literal 54000000000000004194304 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) n)))))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -5680946773672243/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x) n))))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -5680946773672243/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) n)))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -7918067634262499/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))))
(if (<=.f64 n #s(literal -3152519739159347/562949953421312 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -7918067634262499/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) n))))
(if (<=.f64 n #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -2284057971421875/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x n)) (if (<=.f64 n #s(literal -5457375846383999/77962512091199992642827059103001506487009814860760060214943251657703589526131408819724920527056082073802439329851269345467673358921624752372623898370501227356250221599651784238966317243920429186822396747833747030989484783403158999565970908923751724902621910424834220376654628719935312887808 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x n))))
#s(literal 0 binary64)
#s(literal -1 binary64)

soundness2.4s (5.6%)

Rules

4794×	`-lowering-.f32`
4794×	`-lowering-.f64`
4662×	`-lowering-.f32`
4662×	`-lowering-.f64`
4292×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	154
1	241	139
2	2350	132
0	9213	132
0	58	355
1	463	328
2	5479	328
0	8071	328
0	382	3006
1	1287	2899
2	3975	2821
0	8263	2821
0	1322	11436
1	4580	10803
0	8358	10803
0	1337	15076
1	4619	14169
0	8334	14169
0	68	456
1	516	421
2	6077	421
0	8029	421
0	8	26
1	59	24
2	420	24
3	4779	24
0	8255	24
0	263	1600
1	811	1440
2	2556	1362
0	8249	1362

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 1970 to 1012 computations (48.6% saved)

preprocess96.0ms (0.2%)

Compiler: Compiled 1584 to 418 computations (73.6% 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

analyze311.0ms (0.7%)

sample31.3s (73%)

preprocess59.0ms (0.1%)

explain419.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.1%)

localize170.0ms (0.4%)

series79.0ms (0.2%)

rewrite262.0ms (0.6%)

simplify272.0ms (0.6%)

eval66.0ms (0.2%)

prune60.0ms (0.1%)

simplify188.0ms (0.4%)

localize1.1s (2.6%)

series130.0ms (0.3%)

rewrite305.0ms (0.7%)

simplify353.0ms (0.8%)

eval200.0ms (0.5%)

prune134.0ms (0.3%)

simplify154.0ms (0.4%)

localize1.4s (3.4%)

series73.0ms (0.2%)

rewrite300.0ms (0.7%)

simplify350.0ms (0.8%)

eval142.0ms (0.3%)

prune138.0ms (0.3%)

simplify146.0ms (0.3%)

localize179.0ms (0.4%)

series75.0ms (0.2%)

rewrite276.0ms (0.6%)

simplify230.0ms (0.5%)

eval104.0ms (0.2%)

prune115.0ms (0.3%)

regimes98.0ms (0.2%)

regimes33.0ms (0.1%)

regimes32.0ms (0.1%)

regimes31.0ms (0.1%)

regimes30.0ms (0.1%)

regimes28.0ms (0.1%)

regimes44.0ms (0.1%)

regimes53.0ms (0.1%)

regimes22.0ms (0.1%)

regimes33.0ms (0.1%)

regimes16.0ms (0%)

regimes36.0ms (0.1%)

regimes35.0ms (0.1%)

regimes27.0ms (0.1%)

regimes9.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch45.0ms (0.1%)

bsearch40.0ms (0.1%)

bsearch40.0ms (0.1%)

bsearch37.0ms (0.1%)

bsearch36.0ms (0.1%)

bsearch12.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0%)

bsearch10.0ms (0%)

bsearch1.0ms (0%)

bsearch74.0ms (0.2%)

bsearch56.0ms (0.1%)

bsearch49.0ms (0.1%)

bsearch44.0ms (0.1%)

bsearch49.0ms (0.1%)

simplify119.0ms (0.3%)

soundness2.4s (5.6%)

preprocess96.0ms (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