Metrics for 2nthrt (problem 3.4.6)

analyze315.0ms (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: 221.0ms

ival-pow: 183.0ms (82.8% of total)

ival-div: 15.0ms (6.8% of total)

ival-add: 11.0ms (5% of total)

ival-sub: 9.0ms (4.1% of total)

const: 2.0ms (0.9% of total)

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

sample30.7s (71.3%)

Results

24.9s	7071×	5	exit
2.4s	3808×	1	valid
1.3s	1927×	2	valid
490.0ms	2521×	0	valid
265.0ms	1579×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 27.3s

ival-pow: 24.8s (90.8% of total)

backward-pass: 730.0ms (2.7% of total)

ival-div: 690.0ms (2.5% of total)

ival-add: 599.0ms (2.2% of total)

ival-sub: 422.0ms (1.5% of total)

const: 60.0ms (0.2% of total)

Bogosity

preprocess53.0ms (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)))

explain352.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
111	0	-	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)))`
34	79	(3.021823810322649e+156 -4.106066314635237e-198)	1	(0.02727702597652773 -0.022322977942660693)	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`
1	76	(3.021823810322649e+156 -4.106066314635237e-198)	0	-	`(pow.f64 x (/.f64 #s(literal 1 binary64) n))`
0	0	-	0	-	`x`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) n)`
0	0	-	0	-	`n`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`

Results

216.0ms	318×	1	valid
59.0ms	100×	2	valid
14.0ms	94×	0	valid

Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-pow: 166.0ms (70.4% of total)

ival-add: 31.0ms (13.1% of total)

ival-sub: 18.0ms (7.6% of total)

backward-pass: 10.0ms (4.2% of total)

ival-div: 9.0ms (3.8% of total)

const: 1.0ms (0.4% 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
▶	56.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify15.0ms (0%)

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))

localize204.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	87.5%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	60.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

144.0ms	159×	1	valid
26.0ms	50×	2	valid
7.0ms	47×	0	valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-pow: 138.0ms (89.3% of total)

backward-pass: 5.0ms (3.2% of total)

ival-div: 4.0ms (2.6% of total)

ival-add: 3.0ms (1.9% of total)

ival-sub: 3.0ms (1.9% of total)

const: 1.0ms (0.6% of total)

series103.0ms (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
51.0ms	x	@	0	(pow x (/ 1 n))
37.0ms	x	@	-inf	(pow x (/ 1 n))
6.0ms	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)))

rewrite255.0ms (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))))

simplify318.0ms (0.7%)

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))

eval87.0ms (0.2%)

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

prune70.0ms (0.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	414	21	435
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	21	436

Accuracy

99.8%

Counts

436 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(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)))
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	25.3%	(/.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)))))
	25.3%	(/.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))))
▶	72.5%	(/.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))
	57.8%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	38.2%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
▶	32.8%	(/.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)
	66.0%	(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
	56.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	48.0%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
	55.5%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x)))
	56.1%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 (log.f64 x) n)))
	16.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	51.8%	(-.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))))
	36.8%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	24.0%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	16.1%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (+.f64 (/.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)))
	60.2%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶	21.5%	(+.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 1040 to 602 computations (42.1% saved)

simplify261.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) n)
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓	cost-diff	13120	(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)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)
✓	cost-diff	128	(.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))
✓	cost-diff	128	(+.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)))
✓	cost-diff	128	(/.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)
✓	cost-diff	128	(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓	cost-diff	128	(+.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))))
✓	cost-diff	128	(.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)))))
✓	cost-diff	128	(+.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))))))
✓	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

2386×	`fma-lowering-fma.f32`
2386×	`fma-lowering-fma.f64`
1994×	`-lowering-.f32`
1994×	`-lowering-.f64`
1826×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	507
1	135	502
2	397	497
3	1215	488
4	4496	488
0	8583	488

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 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(+ 1 (/ -1 (pow x (/ -1 n))))
1
(/ -1 (pow x (/ -1 n)))
-1
(pow x (/ -1 n))
x
(/ -1 n)
n
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(/ 1 n)
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x)))
(/ (/ 1 (pow x (/ -1 n))) n)
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(/ (/ 1 (pow x (/ -1 n))) x)
(+ (* (pow x (/ 1/2 n)) (- 0 (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(pow x (/ 1/2 n))
x
(/ 1/2 n)
1/2
n
(- 0 (pow x (/ 1/2 n)))
0
(pow (+ x 1) (/ 1 n))
(+ x 1)
1
(/ 1 n)

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

localize1.5s (3.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(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)))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓	accuracy	97.3%	(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
✓	accuracy	97.3%	(.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))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓	accuracy	100.0%	(+.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))))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal -1 binary64) n))
✓	accuracy	99.3%	(.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)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(*.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	100.0%	(/.f64 #s(literal -1/6 binary64) n)
✓	accuracy	100.0%	(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (log.f64 x) #s(literal 3 binary64))

Results

1.2s	201×	5	exit
58.0ms	40×	0	unsamplable
25.0ms	11×	1	valid
3.0ms	4×	0	valid

Compiler

Compiled 537 to 55 computations (89.8% saved)

Precisions

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

ival-pow: 389.0ms (37.7% of total)

backward-pass: 162.0ms (15.7% of total)

ival-log: 109.0ms (10.6% of total)

ival-div: 91.0ms (8.8% of total)

compiled-spec: 74.0ms (7.2% of total)

ival-mult: 65.0ms (6.3% of total)

ival-sub: 61.0ms (5.9% of total)

ival-add: 43.0ms (4.2% of total)

...c/correct-round.rkt:119:19: 35.0ms (3.4% of total)

const: 3.0ms (0.3% of total)

series169.0ms (0.4%)

Counts

28 → 564

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

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

Calls

141 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))
29.0ms	n	@	0	(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
10.0ms	x	@	inf	(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
10.0ms	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))
9.0ms	n	@	inf	(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))

rewrite354.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
2162×	`/-lowering-/.f32`
2162×	`/-lowering-/.f64`
1360×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	313
1	452	278
2	5090	277
0	8011	277

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 591

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

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

simplify446.0ms (1%)

Algorithm

1×	egg-herbie

Rules

3972×	`-lowering-.f32`
3972×	`-lowering-.f64`
3508×	`+-lowering-+.f64`
3508×	`+-lowering-+.f32`
2044×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1487	12449
1	5166	11796
0	8298	11796

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

eval240.0ms (0.6%)

Compiler: Compiled 54622 to 4369 computations (92% saved)

prune204.0ms (0.5%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	1446	36	1482
Fresh	10	6	16
Picked	4	1	5
Done	0	0	0
Total	1460	43	1503

Accuracy

100.0%

Counts

1503 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(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 #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))))) (*.f64 n (-.f64 #s(literal 0 binary64) n)))))
	56.9%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (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 #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))))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
	55.7%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n))) x)
	56.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.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 #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))))))) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)) (-.f64 #s(literal 0 binary64) n))
	56.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.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 #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))))))) (.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
	24.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	34.8%	(/.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 #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) #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 #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))))
	46.5%	(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n n)) (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))) n)
	40.4%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	57.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.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))
	29.3%	(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 n n) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)))) (/.f64 (/.f64 x n) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)))) (/.f64 #s(literal 1/2 binary64) (.f64 n (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n))))) (.f64 x x))
	31.9%	(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
	57.8%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
	25.6%	(/.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))))
	32.3%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)
	39.2%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
	38.2%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
	34.5%	(/.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 #s(literal 1 binary64) x))) x)
	5.5%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 n (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))) (.f64 n n))
	46.2%	(/.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 n (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))))) (.f64 n (.f64 n n)))
	9.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.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 #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))))
	16.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
▶	36.8%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.7%	(-.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (.f64 n n)))))) (/.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 n n)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))) n))
▶	60.2%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.3%	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
▶	28.5%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	46.9%	(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) n))
	24.6%	(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (*.f64 x n)))
	21.5%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (log.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))))))
	28.6%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n)))
	7.3%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
	42.6%	(.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 #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 n (-.f64 #s(literal 0 binary64) n))) n)
▶	32.8%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
	57.1%	(.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 #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)))
	5.7%	(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
	12.9%	(.f64 (.f64 x x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)))))))
▶	57.1%	(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 #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)) n))

Compiler

Compiled 2531 to 1468 computations (42% saved)

simplify176.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 x (+.f64 x #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 #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))
✓	cost-diff	0	(/.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 #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)) n)
✓	cost-diff	64	(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 #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)) n))
✓	cost-diff	0	(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	6592	(+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓	cost-diff	6720	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
✓	cost-diff	0	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	0	(/.f64 x n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	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)))

Rules

2188×	`-lowering-.f32`
2188×	`-lowering-.f64`
1974×	`fma-lowering-fma.f32`
1974×	`fma-lowering-fma.f64`
1672×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	450
1	110	438
2	228	437
3	596	436
4	1448	431
5	4332	431
0	8122	431

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.0s (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.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 #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)
✓	accuracy	99.8%	(*.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))))
✓	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))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
✓	accuracy	99.8%	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	74.8%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(exp.f64 (/.f64 (log1p.f64 x) n))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	74.8%	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

743.0ms	112×	5	exit
75.0ms	26×	2	valid
65.0ms	43×	1	valid
40.0ms	73×	0	unsamplable
1.0ms	2×	0	valid

Compiler

Compiled 477 to 48 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 769.0ms

ival-log: 228.0ms (29.6% of total)

ival-pow: 193.0ms (25.1% of total)

ival-div: 84.0ms (10.9% of total)

backward-pass: 66.0ms (8.6% of total)

ival-exp: 57.0ms (7.4% of total)

ival-mult: 35.0ms (4.5% of total)

ival-sub: 30.0ms (3.9% of total)

compiled-spec: 28.0ms (3.6% of total)

ival-add: 26.0ms (3.4% of total)

...c/correct-round.rkt:119:19: 16.0ms (2.1% of total)

ival-neg: 4.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

series131.0ms (0.3%)

Counts

24 → 468

Calls

Call 1

Inputs
#<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 (- 1 1)>
#<alt (- (+ 1 (/ x n)) (pow x (/ 1 n)))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (pow x (/ 1 n))>
#<alt (* (/ 1 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ x (pow x (/ 1 n))))))>
#<alt (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ x (pow x (/ 1 n)))))>
#<alt (/ 1 x)>
#<alt (/ (pow x (/ 1 n)) n)>
#<alt (neg (/ (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n)) n))>
#<alt (/ (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n)) n)>
#<alt (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n))>
#<alt (log (/ x (+ x 1)))>
#<alt (/ 1 n)>
#<alt (/ 1/2 (* n n))>
#<alt (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ x (pow x (/ 1 n))))>
#<alt (pow (log x) 3)>
#<alt (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))>
#<alt (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))>
#<alt (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) 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 (/ x n)>
#<alt (* x (+ (* -1/2 (/ x n)) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (/ x n)>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (/ x n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)>
#<alt (/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (- (* -1 x) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (/ x n)>
#<alt (/ (+ n x) n)>
#<alt (/ (+ n x) n)>
#<alt (/ (+ n x) n)>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<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)))>
#<alt (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<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)) 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 (/ (+ (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 (/ (* (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 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2))))>
#<alt (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2))>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))>
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#<alt (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/24 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n)))))>
#<alt (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x)))>
#<alt (/ (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* n x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x)>
#<alt (/ (+ (* 1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* n x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x)>
#<alt (/ (+ (* -1/6 (/ (- (/ 1 n) (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n)))))) (pow x 3))) (+ (* 1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* n x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))))) x)>
#<alt (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))>
#<alt (* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 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 (/ (+ (* -1/6 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 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)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 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))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) (* n x))) (* 1/6 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 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)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 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 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (* x (+ (log x) (* -1 (log x)))) n))))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ (* 1/2 (/ (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x))))) n)) (* 1/2 (/ (+ (log x) (* -1 (log x))) n))))))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ (* 1/2 (/ (+ (log x) (* -1 (log x))) n)) (* x (+ (* 1/2 (/ (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1) n)) (* 1/6 (/ 1 (pow n 2)))))))))))>
#<alt (/ (+ (* -1 (log (/ 1 x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x)))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (* (pow n 2) (pow x 2)))) (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1/6 (/ (- (/ 1 n) (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n)))))) (* n (pow x 3)))) (+ (* 1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (* (pow n 2) (pow x 2)))) (+ (* 1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (* (pow n 2) x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))))) x)>
#<alt (* -1 (/ (+ (log (/ -1 x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) (* n x)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (pow n 2))) (* 1/2 (/ (+ 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))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) (pow n 2))) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (pow n 2))) (* 1/2 (/ (+ 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))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) (pow n 2))) (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) (pow n 2))) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n)))) x)) (+ (* 1/6 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (pow n 2))) (* 1/2 (/ (+ 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))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* -1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (pow n 2)))>
#<alt (/ (+ (* -1/6 (- (pow (log x) 3) (pow (log (+ 1 x)) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))>
#<alt (/ (+ (* -1/6 (- (pow (log x) 3) (pow (log (+ 1 x)) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))>
#<alt (/ (+ (* -1/6 (- (pow (log x) 3) (pow (log (+ 1 x)) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (/ (+ (* -1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (/ (+ (* -1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (/ (+ (* -1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* 1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* 1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* 1/6 (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) n))) n))>

Calls

117 calls:

Time	Variable		Point	Expression
44.0ms	n	@	inf	(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n)
17.0ms	x	@	-inf	(* (/ 1 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ x (pow x (/ 1 n))))))
7.0ms	x	@	-inf	(neg (/ (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n)) n))
5.0ms	x	@	-inf	(/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ x (pow x (/ 1 n))))
3.0ms	n	@	0	(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (/ -1/6 n) (- (pow (log x) 3) (pow (log (+ 1 x)) 3)))) n)

rewrite324.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3732×	`-lowering-.f32`
3732×	`-lowering-.f64`
2130×	`pow-lowering-pow.f64`
2130×	`pow-lowering-pow.f32`
2088×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	292
1	331	285
2	3637	285
0	8246	285

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 590

Calls

Call 1

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

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

simplify405.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4242×	`+-lowering-+.f64`
4242×	`+-lowering-+.f32`
3606×	`-lowering-.f32`
3606×	`-lowering-.f64`
2068×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1500	12484
1	5232	11576
0	8654	11576

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

eval181.0ms (0.4%)

Compiler: Compiled 49335 to 4636 computations (90.6% saved)

prune174.0ms (0.4%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	1325	16	1341
Fresh	11	26	37
Picked	4	1	5
Done	0	1	1
Total	1340	44	1384

Accuracy

100.0%

Counts

1384 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (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 #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))))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n))
	56.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.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 #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))))))) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)) (-.f64 #s(literal 0 binary64) n))
	56.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.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 #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))))))) (.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
	24.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	46.5%	(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n n)) (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))) n)
	40.4%	(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
	57.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.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))
	57.8%	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶	32.3%	(/.f64 (-.f64 x (log.f64 x)) n)
▶	25.6%	(/.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))))
	24.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
	38.2%	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 n (.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
	34.5%	(/.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 #s(literal 1 binary64) x))) x)
	5.5%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 n (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))) (.f64 n n))
	36.3%	(/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (.f64 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 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) (.f64 n (.f64 n n)))
	9.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
	4.6%	(/.f64 x n)
	57.1%	(/.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 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))) n))))
	16.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
▶	42.8%	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n)))) (/.f64 (log.f64 x) n))
✓	36.8%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	10.7%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	55.7%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.5%	(-.f64 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.3%	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
	46.9%	(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x)) n))
	21.5%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (log.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))))))
	28.6%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n)))
	7.3%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
	31.3%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
	42.6%	(.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 #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 n (-.f64 #s(literal 0 binary64) n))) n)
	24.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
	39.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))
	57.1%	(.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 #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)))
	5.7%	(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
	12.9%	(.f64 (.f64 x x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)))))))
	55.5%	(neg.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n) (neg.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 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))) (.f64 n n)))))
	34.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.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 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))) n) #s(literal 2 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 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))) n)))))
▶	57.8%	(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
▶	28.5%	#s(literal 0 binary64)

Compiler

Compiled 2372 to 1372 computations (42.2% saved)

simplify146.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n))
✓	cost-diff	256	(/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n)))
✓	cost-diff	6720	(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n))))
✓	cost-diff	13184	(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n)))) (/.f64 (log.f64 x) n))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
✓	cost-diff	128	(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
✓	cost-diff	128	(/.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))))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(-.f64 x (log.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 x (log.f64 x)) n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	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)

Rules

2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
1558×	`fma-lowering-fma.f32`
1558×	`fma-lowering-fma.f64`
1548×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	199
1	83	196
2	176	195
3	442	188
4	1029	185
5	1955	184
6	4073	184
0	8091	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize241.0ms (0.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n)))
✓	accuracy	99.0%	(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓	accuracy	98.5%	(/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n))
✓	accuracy	88.5%	(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n n)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (*.f64 n n))))
✓	accuracy	100.0%	(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓	accuracy	100.0%	(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓	accuracy	99.6%	(/.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))))
✓	accuracy	50.2%	(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) 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	100.0%	(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)
✓	accuracy	64.5%	(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))

Results

154.0ms	173×	1	valid
18.0ms	43×	0	valid
17.0ms	40×	0	unsamplable

Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-pow: 40.0ms (30.4% of total)

ival-div: 25.0ms (19% of total)

ival-mult: 16.0ms (12.1% of total)

ival-log: 15.0ms (11.4% of total)

backward-pass: 11.0ms (8.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (6.1% of total)

ival-sub: 7.0ms (5.3% of total)

ival-add: 7.0ms (5.3% of total)

ival-neg: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

series47.0ms (0.1%)

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
16.0ms	n	@	0	(/ (log (/ x (+ 1 x))) n)
5.0ms	n	@	inf	(/ (log (/ x (+ 1 x))) n)
3.0ms	n	@	0	(/ (* (pow (log x) 2) -1/2) (* n n))
2.0ms	x	@	0	(- (+ (/ (* (pow (log x) 2) -1/2) (* n n)) (/ (* (pow (log x) 3) -1/6) (* n (* n n)))) (/ (log x) n))
2.0ms	x	@	-inf	(- (+ (/ (* (pow (log x) 2) -1/2) (* n n)) (/ (* (pow (log x) 3) -1/6) (* n (* n n)))) (/ (log x) n))

rewrite274.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3346×	`/-lowering-/.f32`
3346×	`/-lowering-/.f64`
2736×	`-lowering-.f32`
2736×	`-lowering-.f64`
2082×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	147
1	225	124
2	2459	120
0	8370	120

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 665

Calls

Call 1

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

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

simplify276.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3494×	`-lowering-.f32`
3494×	`-lowering-.f64`
1940×	`+-lowering-+.f64`
1940×	`+-lowering-+.f32`
1696×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	4258
1	1584	4068
2	4732	3870
0	8628	3870

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval115.0ms (0.3%)

Compiler: Compiled 26850 to 2795 computations (89.6% saved)

prune141.0ms (0.3%)

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	1052	24	1076
Fresh	18	19	37
Picked	3	2	5
Done	0	2	2
Total	1073	47	1120

Accuracy

100.0%

Counts

1120 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.8%	(fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) n)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
	56.6%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.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 #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))))))) (.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)) (-.f64 #s(literal 0 binary64) n))
	24.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
	32.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (log.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) n) x)
	40.4%	(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
	28.2%	(/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
	9.9%	(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 n (.f64 n n))) (.f64 n (.f64 n (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))))) n) (.f64 (.f64 (.f64 n n) (.f64 n (.f64 n n))) (log.f64 x))) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))
	29.8%	(/.f64 (-.f64 (.f64 x (/.f64 n (log.f64 x))) n) (.f64 n (/.f64 n (log.f64 x))))
	35.7%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 n (+.f64 x (log.f64 x))))
✓	32.3%	(/.f64 (-.f64 x (log.f64 x)) n)
	25.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	31.8%	(/.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) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
	25.6%	(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
	29.3%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 n (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 x) n)))) (.f64 n (.f64 n n)))
	5.5%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 n (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))) (.f64 n n))
	46.9%	(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n) (log.f64 x))) n)
	9.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 n n))
	57.8%	(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
	4.6%	(/.f64 x n)
	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
	41.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
	16.3%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
	42.8%	(-.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (/.f64 (log.f64 x) n))
✓	36.8%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	10.7%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
	55.7%	(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	37.5%	(-.f64 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	33.3%	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓	41.2%	(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
	41.2%	(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
	28.6%	(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n)))
	31.3%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (+.f64 (/.f64 (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 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
	24.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
	39.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (.f64 x n))))
	32.2%	(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
	5.7%	(.f64 (.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
	12.9%	(.f64 (.f64 x x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal 1 binary64) (.f64 x n))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)))))))
	57.8%	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
	41.1%	(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) n))
	34.9%	(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) n))
	32.3%	(neg.f64 (/.f64 (log.f64 x) n))
	34.7%	(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x n)))
	18.2%	(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 x (log.f64 x)))) #s(literal -1 binary64)))
✓	28.5%	#s(literal 0 binary64)

Compiler

Compiled 3133 to 934 computations (70.2% saved)

regimes103.0ms (0.2%)

Counts

98 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

24.0ms	x
23.0ms	(/.f64 #s(literal 1 binary64) n)
23.0ms	n
19.0ms	(-.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
86.1%	3	`x`
88.2%	3	`n`
87.8%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
88.2%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes53.0ms (0.1%)

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	(/.f64 #s(literal 1 binary64) n)
21.0ms	n

Results

Accuracy	Segments	Branch
88.1%	3	`n`
88.1%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes59.0ms (0.1%)

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

19.0ms	(/.f64 #s(literal 1 binary64) n)
19.0ms	n
15.0ms	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

Results

Accuracy	Segments	Branch
87.4%	3	`(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))`
87.8%	3	`n`
87.8%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes19.0ms (0%)

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (exp.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x #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
87.8%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes28.0ms (0.1%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.8%	3	`n`
87.8%	3	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes33.0ms (0.1%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.1%	5	`x`
85.2%	3	`(/.f64 #s(literal 1 binary64) n)`
85.2%	4	`n`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0%)

Counts

33 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.3%	5	`n`
84.3%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.1%)

Counts

29 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.4%	6	`x`
70.5%	3	`n`
72.7%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
72.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
72.6%	4	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0%)

Counts

22 → 5

Calls

Call 1

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

Calls

3 calls:

7.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) n)
6.0ms	n

Results

Accuracy	Segments	Branch
67.3%	5	`x`
62.8%	5	`n`
65.8%	7	`(/.f64 #s(literal 1 binary64) n)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Counts

21 → 6

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
68.8%	6	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
61.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(/.f64 #s(literal 1 binary64) n)
5.0ms	x
5.0ms	n

Results

Accuracy	Segments	Branch
45.8%	3	`(/.f64 #s(literal 1 binary64) n)`
45.8%	3	`n`
48.1%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.9%	3	`(/.f64 #s(literal 1 binary64) n)`
43.9%	3	`n`
41.8%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
43.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0%)

Accuracy

Total -16.0b remaining (-35.1%)

Threshold costs -16b (-35.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

2 calls:

19.0ms	x
2.0ms	n

Results

Accuracy	Segments	Branch
28.5%	1	`x`
28.5%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.728707774798191e-11	319.3238271318673
0.0ms	-44.7968905657938	-2.1243394305193092e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.728707774798191e-11	319.3238271318673
0.0ms	-44.7968905657938	-2.1243394305193092e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.828076008646272e-12	4.728707774798191e-11
0.0ms	-2.6386077495847987e-12	-9.925690640714381e-15

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.828076008646272e-12	4.728707774798191e-11
0.0ms	-2.6386077495847987e-12	-9.925690640714381e-15

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch69.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	21147426477.26159	261227832922.16586
37.0ms	-100748656813671.06	-378987744638.1927

Results

44.0ms	194×	1	valid
14.0ms	30×	2	valid

Compiler

Compiled 364 to 258 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 33.0ms (71.8% of total)

ival-div: 4.0ms (8.7% of total)

backward-pass: 3.0ms (6.5% of total)

ival-add: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.4% of total)

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.828076008646272e-12	4.728707774798191e-11
0.0ms	-44.7968905657938	-2.1243394305193092e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.7508414558415986e+178	2.257190156942243e+195
0.0ms	1.589765517973322e-14	3.828076008646272e-12
0.0ms	-44.7968905657938	-2.1243394305193092e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.7508414558415986e+178	2.257190156942243e+195
0.0ms	1.589765517973322e-14	3.828076008646272e-12
0.0ms	-1.3876749506197162e+206	-9.540242644469815e+199

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.7508414558415986e+178	2.257190156942243e+195
0.0ms	3.828076008646272e-12	4.728707774798191e-11
0.0ms	-1.3876749506197162e+206	-9.540242644469815e+199

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.7508414558415986e+178	2.257190156942243e+195
0.0ms	3.828076008646272e-12	4.728707774798191e-11
0.0ms	-1.3876749506197162e+206	-9.540242644469815e+199

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch163.0ms (0.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
43.0ms	2.4992085783196975e+165	5.284402785537087e+166
36.0ms	0.7419816710245266	6032027.112358403
32.0ms	1.0101725529457877e-154	1.0271870865418824e-153
46.0ms	2.065488902911535e-240	9.706472996218402e-240

Results

79.0ms	201×	1	valid
39.0ms	93×	2	valid
19.0ms	154×	0	valid
4.0ms	37×	0	unsamplable

Compiler

Compiled 561 to 406 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-pow: 97.0ms (81.6% of total)

ival-div: 7.0ms (5.9% of total)

ival-add: 5.0ms (4.2% of total)

backward-pass: 5.0ms (4.2% of total)

ival-sub: 4.0ms (3.4% of total)

const: 1.0ms (0.8% of total)

bsearch245.0ms (0.6%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
40.0ms	2.4992085783196975e+165	5.284402785537087e+166
38.0ms	0.7419816710245266	6032027.112358403
33.0ms	1.0101725529457877e-154	1.0271870865418824e-153
49.0ms	2.065488902911535e-240	9.706472996218402e-240
77.0ms	9.714987817140541e-278	1.0299659294527635e-274

Results

152.0ms	300×	1	valid
36.0ms	92×	2	valid
25.0ms	184×	0	valid
5.0ms	40×	0	unsamplable

Compiler

Compiled 687 to 498 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-pow: 162.0ms (85.5% of total)

ival-div: 9.0ms (4.7% of total)

backward-pass: 7.0ms (3.7% of total)

ival-add: 6.0ms (3.2% of total)

ival-sub: 5.0ms (2.6% of total)

const: 1.0ms (0.5% of total)

bsearch80.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.4992085783196975e+165	5.284402785537087e+166
38.0ms	0.7419816710245266	6032027.112358403

Results

35.0ms	90×	2	valid
15.0ms	67×	1	valid
12.0ms	99×	0	valid
4.0ms	32×	0	unsamplable

Compiler

Compiled 321 to 238 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 39.0ms (74.1% of total)

ival-div: 4.0ms (7.6% of total)

backward-pass: 3.0ms (5.7% of total)

ival-sub: 3.0ms (5.7% of total)

ival-add: 3.0ms (5.7% of total)

const: 1.0ms (1.9% of total)

bsearch71.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.4992085783196975e+165	5.284402785537087e+166
25.0ms	0.0461178771421112	0.7419816710245266

Results

29.0ms	70×	2	valid
16.0ms	65×	1	valid
13.0ms	89×	0	valid
3.0ms	21×	0	unsamplable

Compiler

Compiled 272 to 208 computations (23.5% saved)

Precisions

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

ival-pow: 37.0ms (75.7% of total)

ival-div: 4.0ms (8.2% of total)

backward-pass: 3.0ms (6.1% of total)

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

ival-sub: 2.0ms (4.1% 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
38.0ms	2.4992085783196975e+165	5.284402785537087e+166

Results

27.0ms	67×	2	valid
5.0ms	42×	0	valid
1.0ms	10×	0	unsamplable
1.0ms	3×	1	valid

Compiler

Compiled 167 to 131 computations (21.6% saved)

Precisions

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

ival-pow: 21.0ms (76.5% of total)

ival-div: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

backward-pass: 2.0ms (7.3% of total)

ival-sub: 1.0ms (3.6% of total)

const: 0.0ms (0% of total)

bsearch45.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1.0481913691992617e-200	-7.206298561153777e-207
20.0ms	-1.192438525033963e-7	-2.1752120251112775e-11

Results

34.0ms

272×

valid

Compiler

Compiled 233 to 191 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow: 21.0ms (80.2% of total)

ival-div: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

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

const: 0.0ms (0% of total)

backward-pass: 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
22.0ms	-1.0481913691992617e-200	-7.206298561153777e-207
20.0ms	-1.192438525033963e-7	-2.1752120251112775e-11

Results

34.0ms

272×

valid

Compiler

Compiled 224 to 182 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow: 21.0ms (80.5% of total)

ival-div: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

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

const: 0.0ms (0% of total)

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

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

612×	`distribute-lft-neg-in_binary64`
378×	`neg-mul-1_binary64`
358×	`neg-sub0_binary64`
320×	`distribute-neg-in_binary64`
282×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	192	803
1	273	803
2	357	803
3	430	803
4	515	802
5	617	801
6	743	801
7	861	801
8	1095	801
9	1478	801
10	1852	801
11	2105	801
12	2213	801
13	2234	801
14	2237	801

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 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 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.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 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (-.f64 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (-.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 6189700196426901/1237940039285380274899124224 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (-.f64 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 n #s(literal -380000000000 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 n #s(literal 22000000000 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) n)) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 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 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 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 6338253001141147/316912650057057350374175801344 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 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 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 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 6189700196426901/1237940039285380274899124224 binary64)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 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 6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
(if (<=.f64 x #s(literal 4879885938723055/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x)))) (if (<=.f64 x #s(literal 7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 4499999999999999649997977030005115610462740824694905398286344963695616278415554524777475204206513884136794018484176832225740267619540521422281458540150489925468291072 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 3911847006688051/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 3519148513502203/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6159106677308755/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 2799999999999999800406466862537304546583425939963491982359514899872076737032408193728950107087800610592172346645177568667608856116381163380626555013234710694338756608 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) #s(literal 0 binary64))))))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 2600000000000000106930166363083021187290832732430309717248303660869141745395394045617399778427471538698989708126250345091947877783074563247836849823485182549075951616 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 4700000000000000161821929503494866473052758239127875717558067713464748640875410696922474634035481676847499738479143343523072277842864873859385300201248281402862993408 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 2499999999999999851018190126338145755995824025213824557612442285984575564165465959544900063512987642343636848128767089443281872671412387029284928992936286810378600448 binary64)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) n)) #s(literal 0 binary64))
(if (<=.f64 n #s(literal -4457913959828945/37778931862957161709568 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) n))))
(if (<=.f64 n #s(literal -4457913959828945/37778931862957161709568 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 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 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 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 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.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 (exp.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x #s(literal -1/2 binary64)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 2600000000000000106930166363083021187290832732430309717248303660869141745395394045617399778427471538698989708126250345091947877783074563247836849823485182549075951616 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 4700000000000000161821929503494866473052758239127875717558067713464748640875410696922474634035481676847499738479143343523072277842864873859385300201248281402862993408 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6034823500676465/9007199254740992 binary64)) (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 x #s(literal 4700000000000000161821929503494866473052758239127875717558067713464748640875410696922474634035481676847499738479143343523072277842864873859385300201248281402862993408 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 2499999999999999851018190126338145755995824025213824557612442285984575564165465959544900063512987642343636848128767089443281872671412387029284928992936286810378600448 binary64)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) n)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 2499999999999999851018190126338145755995824025213824557612442285984575564165465959544900063512987642343636848128767089443281872671412387029284928992936286810378600448 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) n) #s(literal 0 binary64))
(if (<=.f64 n #s(literal -4457913959828945/37778931862957161709568 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) n))))
(if (<=.f64 n #s(literal -4457913959828945/37778931862957161709568 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) n))))
(if (<=.f64 n #s(literal -4457913959828945/37778931862957161709568 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(literal 0 binary64)

soundness2.3s (5.4%)

Rules

4290×	`-lowering-.f32`
4290×	`-lowering-.f64`
4242×	`+-lowering-+.f64`
4242×	`+-lowering-+.f32`
3972×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	292
1	331	285
2	3637	285
0	8246	285
0	33	147
1	225	124
2	2459	120
0	8370	120
0	8	26
1	59	24
2	420	24
3	4779	24
0	8255	24
0	1500	12484
1	5232	11576
0	8654	11576
0	466	4258
1	1584	4068
2	4732	3870
0	8628	3870
0	1487	12449
1	5166	11796
0	8298	11796
0	263	1600
1	811	1440
2	2556	1362
0	8249	1362
0	56	313
1	452	278
2	5090	277
0	8011	277

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 1779 to 861 computations (51.6% saved)

preprocess90.0ms (0.2%)

Compiler: Compiled 1664 to 392 computations (76.4% 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

analyze315.0ms (0.7%)

sample30.7s (71.3%)

preprocess53.0ms (0.1%)

explain352.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0%)

localize204.0ms (0.5%)

series103.0ms (0.2%)

rewrite255.0ms (0.6%)

simplify318.0ms (0.7%)

eval87.0ms (0.2%)

prune70.0ms (0.2%)

simplify261.0ms (0.6%)

localize1.5s (3.5%)

series169.0ms (0.4%)

rewrite354.0ms (0.8%)

simplify446.0ms (1%)

eval240.0ms (0.6%)

prune204.0ms (0.5%)

simplify176.0ms (0.4%)

localize1.0s (2.4%)

series131.0ms (0.3%)

rewrite324.0ms (0.8%)

simplify405.0ms (0.9%)

eval181.0ms (0.4%)

prune174.0ms (0.4%)

simplify146.0ms (0.3%)

localize241.0ms (0.6%)

series47.0ms (0.1%)

rewrite274.0ms (0.6%)

simplify276.0ms (0.6%)

eval115.0ms (0.3%)

prune141.0ms (0.3%)

regimes103.0ms (0.2%)

regimes53.0ms (0.1%)

regimes59.0ms (0.1%)

regimes19.0ms (0%)

regimes28.0ms (0.1%)

regimes33.0ms (0.1%)

regimes20.0ms (0%)

regimes25.0ms (0.1%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes21.0ms (0%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes15.0ms (0%)

regimes12.0ms (0%)

regimes3.0ms (0%)

regimes21.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch69.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch163.0ms (0.4%)

bsearch245.0ms (0.6%)

bsearch80.0ms (0.2%)

bsearch71.0ms (0.2%)

bsearch40.0ms (0.1%)

bsearch45.0ms (0.1%)

bsearch44.0ms (0.1%)

simplify86.0ms (0.2%)

soundness2.3s (5.4%)

preprocess90.0ms (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