Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

analyze36.0ms (0.5%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (31.3% of total)

ival-mult: 3.0ms (31.3% of total)

ival-sqrt: 3.0ms (31.3% of total)

const: 0.0ms (0% of total)

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

sample826.0ms (10.4%)

Results

573.0ms	8256×	0	valid
18.0ms	303×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 97.0ms (43.4% of total)

ival-sqrt: 68.0ms (30.4% of total)

ival-add: 48.0ms (21.5% of total)

const: 8.0ms (3.6% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess92.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

308×	`fnmadd-define`
264×	`fmsub-define`
254×	`fnmsub-define`
228×	`sum3-define`
220×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	42	32
2	87	32
3	184	32
4	387	32
5	612	32
6	946	32
7	1133	32
8	1171	32
9	1183	32
0	5	5
1	8	5
0	8	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))

Outputs
(sqrt (+ (* x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) y))

Call 2

Inputs
(sqrt (+ (* x x) y))
(sqrt (+ (* (neg x) (neg x)) y))
(sqrt (+ (* x x) (neg y)))
(neg (sqrt (+ (* (neg x) (neg x)) y)))
(neg (sqrt (+ (* x x) (neg y))))
(sqrt (+ (* y y) x))

Outputs
(sqrt (+ (* x x) y))
(sqrt (+ (square x) y))
(sqrt (+ (* (neg x) (neg x)) y))
(sqrt (+ (square x) y))
(sqrt (+ (* x x) (neg y)))
(sqrt (- (square x) y))
(neg (sqrt (+ (* (neg x) (neg x)) y)))
(neg (sqrt (+ (square x) y)))
(neg (sqrt (+ (* x x) (neg y))))
(neg (sqrt (- (square x) y)))
(sqrt (+ (* y y) x))
(sqrt (+ x (square y)))

Symmetry

(abs x)

explain177.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
89	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`y`
0	-	-	`(+.f64 (*.f64 x x) y)`

Results

44.0ms

512×

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.9% of total)

ival-sqrt: 4.0ms (32.7% of total)

ival-add: 3.0ms (24.6% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (*.f64 x x) y)
✓	cost-diff	(sqrt.f64 (+.f64 (*.f64 x x) y))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`sqrt-lowering-sqrt.f64`
2×	`fma-lowering-fma.f32`
2×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	8	13
0	8	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))
(+ (* x x) y)
(* x x)
x
y

Outputs
(sqrt (+ (* x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+ (* x x) y)
(+.f64 (*.f64 x x) y)
(* x x)
(*.f64 x x)
x
y

localize49.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

43.0ms

256×

valid

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

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

ival-mult: 26.0ms (87.7% of total)

ival-sqrt: 2.0ms (6.7% of total)

ival-add: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (sqrt (+ (* x x) y))>
#<alt (+ (* x x) y)>
#<alt (* x x)>

Outputs
#<alt (sqrt y)>
#<alt (+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))>
#<alt (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))>
#<alt (+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))>
#<alt y>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(sqrt (+ (* x x) y))
1.0ms	y	@	inf	(sqrt (+ (* x x) y))
1.0ms	x	@	inf	(sqrt (+ (* x x) y))
1.0ms	x	@	0	(sqrt (+ (* x x) y))
0.0ms	y	@	0	(sqrt (+ (* x x) y))

rewrite340.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2820×	`/-lowering-/.f32`
2820×	`/-lowering-/.f64`
2654×	`-lowering-.f32`
2654×	`-lowering-.f64`
1538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	25	11
2	186	11
3	1828	11
0	8987	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 209

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))
(+ (* x x) y)
(* x x)

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

simplify206.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4180×	`-lowering-.f32`
4180×	`-lowering-.f64`
1660×	`+-lowering-+.f64`
1660×	`+-lowering-+.f32`
1632×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	590
1	408	509
2	1413	496
3	5183	470
0	8421	470

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))
x
(+ x (* 1/2 (/ y x)))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+.f64 (sqrt.f64 y) (.f64 (.f64 x x) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
(+.f64 (sqrt.f64 y) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
(+.f64 x (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) x))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))
(+.f64 (+.f64 x (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (/.f64 (.f64 y (.f64 (*.f64 y #s(literal 1/16 binary64)) y)) (pow.f64 x #s(literal 6 binary64)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))
(-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) x))) (.f64 x (/.f64 (.f64 y (.f64 (*.f64 y #s(literal 1/16 binary64)) y)) (pow.f64 x #s(literal 6 binary64))))))
x
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(+.f64 x (.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) x))))
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+.f64 x (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))))))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))
(.f64 y (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))
(.f64 y (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 y (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
y
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
y
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval31.0ms (0.4%)

Compiler: Compiled 9667 to 835 computations (91.4% saved)

prune33.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	266	3	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	4	270

Accuracy

100.0%

Counts

270 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
✓	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	36.1%	(sqrt.f64 y)
▶	66.8%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	cost-diff	(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
✓	cost-diff	(sqrt.f64 y)

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	11	21
2	15	21
3	18	21
4	19	21
0	19	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(sqrt y)
y
(+ x (/ (* y 1/2) x))
x
(/ (* y 1/2) x)
(* y 1/2)
y
1/2

Outputs
x
(sqrt y)
(sqrt.f64 y)
y
(+ x (/ (* y 1/2) x))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
x
(/ (* y 1/2) x)
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)

localize39.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
✓	accuracy	100.0%	(sqrt.f64 y)

Results

22.0ms	170×	0	valid
8.0ms	86×	0	invalid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-div: 5.0ms (46.1% of total)

ival-mult: 2.0ms (18.4% of total)

ival-sqrt: 2.0ms (18.4% of total)

ival-add: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (sqrt y)>
#<alt (+ x (/ (* y 1/2) x))>
#<alt (/ (* y 1/2) x)>
#<alt (* y 1/2)>

Outputs
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	(/ (* y 1/2) x)
6.0ms	y	@	inf	(/ (* y 1/2) x)
1.0ms	y	@	inf	(* y 1/2)
1.0ms	y	@	0	(sqrt y)
0.0ms	x	@	0	(+ x (/ (* y 1/2) x))

rewrite242.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2634×	`-lowering-.f32`
2634×	`-lowering-.f64`
1974×	`fma-lowering-fma.f32`
1974×	`fma-lowering-fma.f64`
1858×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	33	16
2	297	16
3	5143	16
0	8381	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(sqrt y)
(+ x (/ (* y 1/2) x))
(/ (* y 1/2) x)
(* y 1/2)

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(sqrt.f64 y)
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))))
(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
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(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1598×	`-lowering-.f32`
1598×	`-lowering-.f64`
1518×	`fmsub-define`
1442×	`fnmsub-define`
1226×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	387
1	101	354
2	250	354
3	737	309
4	2798	309
5	5950	309
0	8004	309

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

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

eval38.0ms (0.5%)

Compiler: Compiled 3698 to 361 computations (90.2% saved)

prune34.0ms (0.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	190	14	204
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	191	17	208

Accuracy

100.0%

Counts

208 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
	21.4%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
	9.8%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
▶	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
▶	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
▶	66.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
	67.0%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
	67.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
▶	67.0%	(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
	21.1%	(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
	32.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))))
	66.4%	(.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
▶	31.4%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
	31.3%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
✓	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.1%	(sqrt.f64 y)
✓	66.8%	x

Compiler

Compiled 847 to 400 computations (52.8% saved)

simplify199.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	2304	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
✓	cost-diff	0	(/.f64 y (/.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
✓	cost-diff	0	(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))

Rules

3470×	`-lowering-.f32`
3470×	`-lowering-.f64`
1736×	`sum4-define`
1678×	`fma-lowering-fma.f32`
1678×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	249
1	87	232
2	224	225
3	827	216
4	4975	216
0	8427	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (* (/ 1/2 x) y))
x
(* (/ 1/2 x) y)
(/ 1/2 x)
1/2
y
(/ (* y 1/2) x)
(* y 1/2)
y
1/2
x
(/ 1 (/ 1 (- x (/ (* y -1/2) x))))
1
(/ 1 (- x (/ (* y -1/2) x)))
(- x (/ (* y -1/2) x))
x
(/ (* y -1/2) x)
(* y -1/2)
y
-1/2
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))
1
(/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
y
(/ x 1/2)
x
1/2
(- (/ (* 1/4 (* y y)) (* x x)) (* x x))
(/ (* 1/4 (* y y)) (* x x))
(* 1/4 (* y y))
1/4
(* y y)
(* x x)
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(* x x)
x
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
y
(/ x 1/2)
1/2
(/ x (* y 1/2))
(* y 1/2)
(/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))))
(- x (/ (* y -1/2) x))
(/ (* y -1/2) x)
(* y -1/2)
-1/2

Outputs
(+ x (* (/ 1/2 x) y))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
x
(* (/ 1/2 x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
y
(/ (* y 1/2) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
y
1/2
#s(literal 1/2 binary64)
x
(/ 1 (/ 1 (- x (/ (* y -1/2) x))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(/ 1 (- x (/ (* y -1/2) x)))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(- x (/ (* y -1/2) x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
x
(/ (* y -1/2) x)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
1
#s(literal 1 binary64)
(/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x x)) (.f64 x x)))
(- (/ y (/ x 1/2)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(/ y (/ x 1/2))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
y
(/ x 1/2)
(/.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(- (/ (* 1/4 (* y y)) (* x x)) (* x x))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 x x)) (.f64 x x))
(/ (* 1/4 (* y y)) (* x x))
(/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (*.f64 x x))
(* 1/4 (* y y))
(.f64 y (.f64 y #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* y y)
(*.f64 y y)
(* x x)
(*.f64 x x)
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(+.f64 (.f64 x x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) #s(literal -1/2 binary64))))
(* x x)
(*.f64 x x)
x
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)))
(- (/ y (/ x 1/2)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(/ y (/ x 1/2))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
y
(/ x 1/2)
(/.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x (* y 1/2))
(/.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
(/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))))
(/.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 (.f64 x x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 x x)) #s(literal -1/2 binary64)))))
(- x (/ (* y -1/2) x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(/ (* y -1/2) x)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize236.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	81.6%	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
✓	accuracy	53.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
✓	accuracy	51.5%	(/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
✓	accuracy	78.1%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
✓	accuracy	51.5%	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)

Results

163.0ms

256×

valid

Compiler

Compiled 311 to 32 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 52.0ms (73% of total)

ival-mult: 12.0ms (16.8% of total)

ival-sub: 4.0ms (5.6% of total)

ival-add: 3.0ms (4.2% of total)

const: 1.0ms (1.4% of total)

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

series30.0ms (0.4%)

Counts

19 → 420

Calls

Call 1

Inputs
#<alt (+ x (* (/ 1/2 x) y))>
#<alt (* (/ 1/2 x) y)>
#<alt (/ 1/2 x)>
#<alt (/ (* y 1/2) x)>
#<alt (* y 1/2)>
#<alt (/ 1 (/ 1 (- x (/ (* y -1/2) x))))>
#<alt (/ 1 (- x (/ (* y -1/2) x)))>
#<alt (- x (/ (* y -1/2) x))>
#<alt (/ (* y -1/2) x)>
#<alt (/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))>
#<alt (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x)))>
#<alt (- (/ y (/ x 1/2)) x)>
#<alt (/ y (/ x 1/2))>
#<alt (* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))))>
#<alt (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))>
#<alt (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))>
#<alt (/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))))>
#<alt (* y -1/2)>
#<alt (/ (* 1/4 (* y y)) (* x x))>

Outputs
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 (/ y x))>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* -4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* 1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ y (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* -1/2 (/ y (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4)))))) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ y (pow x 3))) (/ 1 x))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (* 2 x)) y)>
#<alt (/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 2)))) (* 4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (* 2 x)) (+ (* -8 (/ (pow x 5) (pow y 2))) (* 4 (/ (pow x 3) y)))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (* 8 (/ (pow x 5) y)) (* 4 (pow x 3))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 7) y)) (* 8 (pow x 5))) y)) (* 4 (pow x 3))) y))) y))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ y (pow x 3))) (/ 1 x))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (* 2 x)) y)>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 2))))) y)>
#<alt (/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (+ (* -4 (/ (pow x 3) y)) (* 2 x))) (* -8 (/ (pow x 5) (pow y 2)))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 3)) (* 8 (/ (pow x 5) y))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 3)) (* -1 (/ (+ (* -8 (pow x 5)) (* 16 (/ (pow x 7) y))) y))) y))) y))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* -4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))) x)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* -1/8 (/ (pow y 3) (pow x 6))))) (* -1/4 (/ (pow y 2) (pow x 4)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ y (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))) 1) x))>
#<alt (* -1 (/ (- (+ (* 1/8 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))) (+ 1 (* 1/4 (/ (pow y 2) (pow x 4))))) x))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (pow y 2)) (* (pow x 2) (+ (* -1/2 y) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/4 (pow y 2)) (* (pow x 2) (+ (* -1/2 y) (pow x 2)))) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (pow x 2)>
#<alt (+ (* -1/2 y) (pow x 2))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 2))) 1/2)) (pow x 2))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 2))) 1/2)) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (pow x 2) y))) y)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (pow x 2) y))) y)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* 8 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 3))) (* 8 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 8 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (* 1/2 (/ y (pow x 2)))) (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2))))) (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* 1/4 (* (pow y 2) (- (* 1/2 y) (* -1/2 y)))) (* 1/2 (* y (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2)))))) (pow x 6))) (* 1/2 (/ y (pow x 2))))) (+ (* -1/2 (/ y (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (* 1/4 (/ (pow y 2) (pow x 4)))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (* 1/4 (/ (pow y 2) (pow x 4))))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (+ (* 1/4 (/ (* (pow y 2) (- (* 1/2 y) (* -1/2 y))) (pow x 6))) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ (* y (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2)))) (pow x 6))))))) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y (pow x 3)))>
#<alt (+ (* y (+ (* 1/4 (/ y (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (/ 1 x))>
#<alt (* 2 (/ x y))>
#<alt (/ (- (+ (* 2 x) (* 4 (/ (pow x 3) y))) (* -4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))) (* 8 (pow x 5))) (pow y 2))) (+ (* 2 x) (* 4 (/ (pow x 3) y)))) (* -4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* (pow x 2) (+ (* -2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))) (* 8 (pow x 5))))) (* 4 (* (pow x 4) (- (* 4 (pow x 3)) (* -4 (pow x 3)))))) (pow y 3))) (+ (* 2 x) (* 4 (/ (pow x 3) y)))) (+ (* -4 (/ (pow x 3) y)) (+ (* -2 (/ (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) (pow y 2))) (* 8 (/ (pow x 5) (pow y 2)))))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (* 4 (pow x 3)) (* -4 (pow x 3))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (+ (* -8 (/ (pow x 5) y)) (+ (* 2 (/ (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) y)) (* 4 (pow x 3)))) (* -4 (pow x 3))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow x 2) (+ (* -8 (pow x 5)) (* 2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))))) y)) (* 4 (/ (* (pow x 4) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) y))) (+ (* -8 (pow x 5)) (* 2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))))) y)) (* 4 (pow x 3))) (* -4 (pow x 3))) y))) y))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))))
3.0ms	y	@	0	(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))
2.0ms	x	@	inf	(/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x)))
1.0ms	x	@	0	(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))
1.0ms	y	@	inf	(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))

rewrite502.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3072×	`/-lowering-/.f32`
3072×	`/-lowering-/.f64`
2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
2172×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	147
1	223	132
2	2444	129
0	8662	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1850

Calls

Call 1

Inputs
(+ x (* (/ 1/2 x) y))
(* (/ 1/2 x) y)
(/ 1/2 x)
(/ (* y 1/2) x)
(* y 1/2)
(/ 1 (/ 1 (- x (/ (* y -1/2) x))))
(/ 1 (- x (/ (* y -1/2) x)))
(- x (/ (* y -1/2) x))
(/ (* y -1/2) x)
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x))))
(/ (- (/ y (/ x 1/2)) x) (- (/ (* 1/4 (* y y)) (* x x)) (* x x)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(/ (- x (/ (* y -1/2) x)) (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))))
(* y -1/2)
(/ (* 1/4 (* y y)) (* x x))

Outputs
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (.f64 x x)) (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x))))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))))))
(+.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))) (.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(exp.f64 (.f64 (log.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (-.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)))
(fma.f64 x #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)
(fma.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))))
(fma.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (.f64 (.f64 x x) (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))))
(fma.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (.f64 x x) (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) x)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
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(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 x (.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 y (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 0 binary64) y))) (neg.f64 (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 y (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (neg.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (*.f64 x (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) y)) (neg.f64 (.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 (/.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) y)) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/2 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 y (.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(.f64 y (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x))
(.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 y y) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y (/.f64 y x)))
(.f64 (.f64 y (/.f64 y x)) (/.f64 #s(literal 1/4 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 y (*.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/4 binary64)) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y (*.f64 x x)))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 y (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))
(*.f64 (/.f64 y (/.f64 x #s(literal -1/2 binary64))) (/.f64 y (/.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1/2 binary64) x)) y)
(.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 y x)) #s(literal 1/2 binary64))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (/.f64 x (.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 y x))

simplify337.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
1874×	`+-lowering-+.f64`
1874×	`+-lowering-+.f32`
1310×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	3923
1	1282	3501
2	4177	3403
0	8181	3403

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 (/ y x))
(/ (- (pow x 2) (* -1/2 y)) x)
(/ (- (pow x 2) (* -1/2 y)) x)
(/ (- (pow x 2) (* -1/2 y)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* 2 (/ x y))
(* x (+ (* -4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ y (pow x 2)))) x)
(/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* 1/2 (/ y (pow x 2)))) x)
(/ (- (+ 1 (* -1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ y (pow x 2))) 1) x))
(* -1 (/ (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* -1/2 (/ y (pow x 2))))) x))
(* -1 (/ (- (* 1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4)))))) x))
(/ 1 x)
(+ (* -1/2 (/ y (pow x 3))) (/ 1 x))
(+ (* y (- (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* y (- (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(* 2 (/ x y))
(/ (+ (* -4 (/ (pow x 3) y)) (* 2 x)) y)
(/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 2)))) (* 4 (/ (pow x 3) y))) y)
(/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (* 2 x)) (+ (* -8 (/ (pow x 5) (pow y 2))) (* 4 (/ (pow x 3) y)))) y)
(* 2 (/ x y))
(* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -2 x) (* -1 (/ (- (* 8 (/ (pow x 5) y)) (* 4 (pow x 3))) y))) y))
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Outputs
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(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 x x))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ (* 8 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 8 binary64)) y) y)))
(* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 3))) (* 8 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (.f64 x (.f64 x (+.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) y) y) y) (/.f64 #s(literal 8 binary64) (.f64 y y)))))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 8 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -16 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 8 binary64) (.f64 y y))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (* 1/2 (/ y (pow x 2)))) (* -1/2 (/ y (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2))))) (* -1/2 (/ y (pow x 2)))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 y (.f64 x x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* 1/4 (* (pow y 2) (- (* 1/2 y) (* -1/2 y)))) (* 1/2 (* y (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2)))))) (pow x 6))) (* 1/2 (/ y (pow x 2))))) (+ (* -1/2 (/ y (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (* 1/4 (/ (pow y 2) (pow x 4)))))) x)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 y (.f64 x x))) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) 1) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x))) x))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (* 1/4 (/ (pow y 2) (pow x 4))))) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 y (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 y) (* -1/2 y)) (pow x 2))) (+ (* -1/2 (/ (* y (- (* 1/2 y) (* -1/2 y))) (pow x 4))) (+ (* 1/4 (/ (* (pow y 2) (- (* 1/2 y) (* -1/2 y))) (pow x 6))) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ (* y (+ (* -1/2 (* y (- (* 1/2 y) (* -1/2 y)))) (* 1/4 (pow y 2)))) (pow x 6))))))) 1) x))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 y (.f64 y y)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 3)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (*.f64 x x)) x))
(+ (* y (+ (* 1/4 (/ y (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(+ (* y (+ (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 y (+.f64 (/.f64 (*.f64 y #s(literal -1/8 binary64)) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(/ (- (+ (* 2 x) (* 4 (/ (pow x 3) y))) (* -4 (/ (pow x 3) y))) y)
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) y)) y)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))) (* 8 (pow x 5))) (pow y 2))) (+ (* 2 x) (* 4 (/ (pow x 3) y)))) (* -4 (/ (pow x 3) y))) y)
(/.f64 (+.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -2 binary64)))) (.f64 y y))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) y)) y)
(/ (- (+ (* -1 (/ (+ (* 2 (* (pow x 2) (+ (* -2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))) (* 8 (pow x 5))))) (* 4 (* (pow x 4) (- (* 4 (pow x 3)) (* -4 (pow x 3)))))) (pow y 3))) (+ (* 2 x) (* 4 (/ (pow x 3) y)))) (+ (* -4 (/ (pow x 3) y)) (+ (* -2 (/ (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) (pow y 2))) (* 8 (/ (pow x 5) (pow y 2)))))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) y)) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 5 binary64))) y) y) (.f64 (.f64 x x) (.f64 (.f64 x (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) y) y)) #s(literal -2 binary64))))) (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 4 binary64)))) (.f64 y (*.f64 y y)))) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (/ (+ (* -2 x) (* -1 (/ (- (* 4 (pow x 3)) (* -4 (pow x 3))) y))) y))
(/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (.f64 x (.f64 x x)) y) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -2 x) (* -1 (/ (- (+ (* -8 (/ (pow x 5) y)) (+ (* 2 (/ (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) y)) (* 4 (pow x 3)))) (* -4 (pow x 3))) y))) y))
(/.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) y)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -2 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow x 2) (+ (* -8 (pow x 5)) (* 2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))))) y)) (* 4 (/ (* (pow x 4) (- (* 4 (pow x 3)) (* -4 (pow x 3)))) y))) (+ (* -8 (pow x 5)) (* 2 (* (pow x 2) (- (* 4 (pow x 3)) (* -4 (pow x 3))))))) y)) (* 4 (pow x 3))) (* -4 (pow x 3))) y))) y))
(/.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 5 binary64))))) y) (+.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) y)) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))) #s(literal -2 binary64)))))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))

eval635.0ms (8%)

Compiler: Compiled 137620 to 5604 computations (95.9% saved)

prune432.0ms (5.4%)

Pruning

51 alts after pruning (46 fresh and 5 done)

	Pruned	Kept	Total
New	3164	42	3206
Fresh	5	4	9
Picked	3	2	5
Done	0	3	3
Total	3172	51	3223

Accuracy

100.0%

Counts

3223 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
	34.0%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))
	16.3%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))
	21.4%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
▶	16.8%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
	9.8%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
✓	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
	3.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 #s(literal 2 binary64) y)) (.f64 x x))))
	33.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x))))
	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 y y) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (.f64 x x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 y (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x))))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y (/.f64 y x))) (*.f64 x x))))
▶	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y (.f64 x x))) (.f64 x x))))
	21.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
	32.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x))) #s(literal -1 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
	3.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))))
	3.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))))
	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	9.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (/.f64 y x)) (.f64 (.f64 y (/.f64 y x)) (.f64 y (/.f64 y x))))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))))))
	33.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)))
	3.5%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (/.f64 #s(literal 2 binary64) y))))
✓	67.0%	(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
	16.8%	(.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	21.1%	(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
▶	3.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
	66.4%	(.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
▶	4.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
	31.4%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	31.4%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	30.7%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)) x))))
	30.5%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))))
	19.8%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))))
	30.0%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x)))))
	31.3%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/4 binary64)))))))
	2.8%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)))))
	3.8%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x #s(literal 2 binary64)) y))
	31.3%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))))))
	30.4%	(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	30.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
	31.4%	(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
	29.6%	(.f64 (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
▶	66.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))
✓	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.1%	(sqrt.f64 y)
✓	66.8%	x

Compiler

Compiled 3559 to 1833 computations (48.5% saved)

simplify282.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
✓	cost-diff	128	(/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	256	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
✓	cost-diff	0	(/.f64 y (/.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
✓	cost-diff	0	(/.f64 y (*.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x))))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))

Rules

4486×	`-lowering-.f32`
4486×	`-lowering-.f64`
2524×	`/-lowering-/.f32`
2524×	`/-lowering-/.f64`
1300×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	419
1	159	378
2	530	363
3	2705	357
4	7492	357
0	8497	357

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* 1/2 (/ y (* x x)))))
x
(+ 1 (* 1/2 (/ y (* x x))))
1
(* 1/2 (/ y (* x x)))
1/2
(/ y (* x x))
y
(* x x)
(* (/ 1/2 x) y)
(/ 1/2 x)
1/2
x
y
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x))))
1
(/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
y
(/ x 1/2)
x
1/2
(- (* (* y y) (/ 1/4 (* x x))) (* x x))
(* (* y y) (/ 1/4 (* x x)))
(* y y)
(/ 1/4 (* x x))
1/4
(* x x)
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(* x x)
x
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
y
(/ x 1/2)
1/2
(/ x (* y 1/2))
(* y 1/2)
(/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x)))
(- x (/ (* y -1/2) x))
(/ (* y -1/2) x)
(* y -1/2)
-1/2
(/ (* (* y y) 1/4) (* x x))
(* (* y y) 1/4)
(* y y)
1/4
(/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))
(* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x)))))
(/ 1 (- (/ (* 1/2 y) x) x))
1
(- (/ (* 1/2 y) x) x)
(/ (* 1/2 y) x)
(* 1/2 y)
1/2
y
x
(- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))
(* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x))))
1/16
(* (/ (* y y) (* x x)) (/ (* y y) (* x x)))
(/ (* y y) (* x x))
(* y y)
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(+ (* x x) (/ (* 1/4 (* y (/ y x))) x))
(/ (* 1/4 (* y (/ y x))) x)
(* 1/4 (* y (/ y x)))
1/4
(* y (/ y x))
(/ y x)

Outputs
(* x (+ 1 (* 1/2 (/ y (* x x)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x
(+ 1 (* 1/2 (/ y (* x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
1
#s(literal 1 binary64)
(* 1/2 (/ y (* x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
1/2
#s(literal 1/2 binary64)
(/ y (* x x))
(/.f64 y (*.f64 x x))
y
(* x x)
(*.f64 x x)
(* (/ 1/2 x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
y
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
1
#s(literal 1 binary64)
(/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (.f64 x x)))) (*.f64 x x)))
(- (/ y (/ x 1/2)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(/ y (/ x 1/2))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
y
(/ x 1/2)
(/.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(- (* (* y y) (/ 1/4 (* x x))) (* x x))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x x))
(* (* y y) (/ 1/4 (* x x)))
(.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (*.f64 x x))))
(* y y)
(*.f64 y y)
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) y))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(+.f64 (.f64 x x) (.f64 y (+.f64 (/.f64 y (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(* x x)
(*.f64 x x)
x
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(.f64 y (+.f64 (/.f64 y (.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(- (/ y (/ x 1/2)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(/ y (/ x 1/2))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
y
(/ x 1/2)
(/.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x (* y 1/2))
(/.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
(/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x)))
(/.f64 (/.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) y)
(- x (/ (* y -1/2) x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (* y -1/2) x)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* (* y y) 1/4) (* x x))
(.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (*.f64 x x))))
(* (* y y) 1/4)
(.f64 y (.f64 y #s(literal 1/4 binary64)))
(* y y)
(*.f64 y y)
1/4
#s(literal 1/4 binary64)
(/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))
(/.f64 (-.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 y #s(literal 1/16 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (+.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (*.f64 x x)))))))
(* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x)))))
(/.f64 (-.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 y #s(literal 1/16 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(/ 1 (- (/ (* 1/2 y) x) x))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
1
#s(literal 1 binary64)
(- (/ (* 1/2 y) x) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(/ (* 1/2 y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
x
(- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))
(-.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 y #s(literal 1/16 binary64)))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x))))
(.f64 (/.f64 y (.f64 x x)) (.f64 (.f64 y (/.f64 y (.f64 x x))) (.f64 y #s(literal 1/16 binary64))))
1/16
#s(literal 1/16 binary64)
(* (/ (* y y) (* x x)) (/ (* y y) (* x x)))
(/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x x)) (*.f64 x x))
(/ (* y y) (* x x))
(.f64 y (/.f64 y (.f64 x x)))
(* y y)
(*.f64 y y)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(+ (* x x) (/ (* 1/4 (* y (/ y x))) x))
(+.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (.f64 x x)))))
(/ (* 1/4 (* y (/ y x))) x)
(.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y (*.f64 x x))))
(* 1/4 (* y (/ y x)))
(.f64 y (.f64 #s(literal 1/4 binary64) (/.f64 y x)))
1/4
#s(literal 1/4 binary64)
(* y (/ y x))
(*.f64 y (/.f64 y x))
(/ y x)
(/.f64 y x)

localize366.0ms (4.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)
✓	accuracy	85.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	78.0%	(/.f64 (.f64 y y) (.f64 x x))
✓	accuracy	39.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
✓	accuracy	84.6%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
✓	accuracy	81.6%	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
✓	accuracy	81.5%	(/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x)))
✓	accuracy	78.1%	(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
✓	accuracy	99.4%	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
✓	accuracy	78.0%	(.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
✓	accuracy	51.5%	(/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x)))
✓	accuracy	94.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))
✓	accuracy	88.7%	(/.f64 y (*.f64 x x))

Results

278.0ms

256×

valid

Compiler

Compiled 528 to 52 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 54.0ms (45.7% of total)

ival-mult: 39.0ms (33% of total)

ival-sub: 14.0ms (11.9% of total)

ival-add: 10.0ms (8.5% of total)

const: 1.0ms (0.8% of total)

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

series40.0ms (0.5%)

Counts

24 → 540

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* 1/2 (/ y (* x x)))))>
#<alt (+ 1 (* 1/2 (/ y (* x x))))>
#<alt (* 1/2 (/ y (* x x)))>
#<alt (/ y (* x x))>
#<alt (* (/ 1/2 x) y)>
#<alt (/ 1/2 x)>
#<alt (/ 1 (/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x))))>
#<alt (/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x)))>
#<alt (- (/ y (/ x 1/2)) x)>
#<alt (/ y (/ x 1/2))>
#<alt (* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))>
#<alt (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))>
#<alt (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))>
#<alt (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x)))>
#<alt (/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))>
#<alt (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x)))))>
#<alt (/ 1 (- (/ (* 1/2 y) x) x))>
#<alt (- (/ (* 1/2 y) x) x)>
#<alt (* x x)>
#<alt (* (* y y) (/ 1/4 (* x x)))>
#<alt (/ 1/4 (* x x))>
#<alt (/ (* (* y y) 1/4) (* x x))>
#<alt (/ (* y y) (* x x))>
#<alt (/ (* 1/4 (* y (/ y x))) x)>

Outputs
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))>
#<alt (* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))>
#<alt (* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) (pow x 2))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ y (pow x 3))) (/ 1 x))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (* 2 x)) y)>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 2))))) y)>
#<alt (/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (+ (* -4 (/ (pow x 3) y)) (* 2 x))) (* -8 (/ (pow x 5) (pow y 2)))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 3)) (* 8 (/ (pow x 5) y))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 3)) (* -1 (/ (+ (* -8 (pow x 5)) (* 16 (/ (pow x 7) y))) y))) y))) y))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* -4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))) x)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* -1/8 (/ (pow y 3) (pow x 6))))) (* -1/4 (/ (pow y 2) (pow x 4)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ y (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))) 1) x))>
#<alt (* -1 (/ (- (+ (* 1/8 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))) (+ 1 (* 1/4 (/ (pow y 2) (pow x 4))))) x))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (* 4 (/ (pow x 6) (pow y 2)))) x)>
#<alt (/ (+ (* 1/2 y) (* 4 (/ (pow x 6) (pow y 2)))) x)>
#<alt (/ (+ (* 1/2 y) (* 4 (/ (pow x 6) (pow y 2)))) x)>
#<alt (* 4 (/ (pow x 5) (pow y 2)))>
#<alt (* (pow x 5) (+ (* 1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 5) (+ (* 1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 5) (+ (* 1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* 4 (/ (pow x 5) (pow y 2)))>
#<alt (* -1 (* (pow x 5) (- (* -1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow x 5) (- (* -1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow x 5) (- (* -1/2 (/ y (pow x 6))) (* 4 (/ 1 (pow y 2))))))>
#<alt (* 4 (/ (pow x 5) (pow y 2)))>
#<alt (/ (+ (* 4 (* (pow x 2) (* y (+ (* -1/2 x) (* 1/2 x))))) (* 4 (pow x 5))) (pow y 2))>
#<alt (/ (+ (* 4 (pow x 5)) (* y (+ (* 1/2 (/ (pow y 2) x)) (* 4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))) (pow y 2))>
#<alt (/ (+ (* 4 (pow x 5)) (* y (+ (* 1/2 (/ (pow y 2) x)) (* 4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))) (pow y 2))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2))) (+ (* 4 (/ (pow x 5) (pow y 3))) (* 1/2 (/ 1 x)))))>
#<alt (* y (+ (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2))) (+ (* 4 (/ (pow x 5) (pow y 3))) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (+ (* -4 (/ (pow x 5) (pow y 3))) (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2)))) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (+ (* -4 (/ (pow x 5) (pow y 3))) (* 4 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))) (pow y 2)))) (* 1/2 (/ 1 x)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (pow y 2)) (* (pow x 2) (+ (* -1/2 y) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/4 (pow y 2)) (* (pow x 2) (+ (* -1/2 y) (pow x 2)))) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1/2 (/ y (pow x 2))) (* 1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (pow x 2)>
#<alt (+ (* -1/2 y) (pow x 2))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 2))) 1/2)) (pow x 2))>
#<alt (+ (* y (- (* 1/4 (/ y (pow x 2))) 1/2)) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow x 2))) (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (pow x 2) y))) y)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (pow x 2) y))) y)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* y (- (* 1/4 (/ y (pow x 2))) 1/2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 y))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (+ (* -1/2 y) (* 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* 4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* 4 (/ (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* 4 (/ (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 3) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (pow y 2)))))>
#<alt (* 4 (/ (pow x 3) (pow y 2)))>
#<alt (/ (+ (* 2 (* x y)) (* 4 (pow x 3))) (pow y 2))>
#<alt (/ (+ (* 2 (* x y)) (* 4 (pow x 3))) (pow y 2))>
#<alt (/ (+ (* 2 (* x y)) (* 4 (pow x 3))) (pow y 2))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y)>
#<alt (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y)>
#<alt (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (- (+ (* -1 (/ (+ (* -2 (pow x 3)) (* 2 (pow x 3))) (pow y 2))) (* 1/2 (/ 1 x))) (* -1 (/ x y))))>
#<alt (* y (- (+ (* -1 (/ (+ (* -4 (pow x 5)) (+ (* 2 (* (pow x 2) (+ (* -2 (pow x 3)) (* 2 (pow x 3))))) (* 4 (pow x 5)))) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -2 (/ (pow x 3) (pow y 2))) (+ (* -1 (/ x y)) (* 2 (/ (pow x 3) (pow y 2)))))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -2 (pow x 3)) (* 2 (pow x 3))) y))) y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -2 (pow x 3)) (+ (* -1 (/ (+ (* -4 (pow x 5)) (+ (* -2 (* (pow x 2) (+ (* -2 (pow x 3)) (* 2 (pow x 3))))) (* 4 (pow x 5)))) y)) (* 2 (pow x 3)))) y))) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2))) (pow x 4)))) (* -1/2 (/ y (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1/8 (pow y 3)) (+ (* 1/8 (pow y 3)) (* 1/2 (* y (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2))))))) (pow x 6)))) (+ (* -1/2 (/ y (pow x 2))) (+ (* -1/4 (/ (pow y 2) (pow x 4))) (* 1/4 (/ (pow y 2) (pow x 4)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2))) (pow x 4))) (+ 1 (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/8 (pow y 3)) (+ (* 1/8 (pow y 3)) (* 1/2 (* y (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2))))))) (pow x 6))) (+ 1 (+ (* -1/4 (/ (pow y 2) (pow x 4))) (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))))>
#<alt (pow x 3)>
#<alt (+ (* 1/2 (* x y)) (pow x 3))>
#<alt (+ (* y (- (* 1/4 (/ y x)) (* -1/2 x))) (pow x 3))>
#<alt (+ (* y (- (* y (+ (* 1/8 (/ y (pow x 3))) (* 1/4 (/ 1 x)))) (* -1/2 x))) (pow x 3))>
#<alt (* 1/8 (/ (pow y 3) (pow x 3)))>
#<alt (* (pow y 3) (+ (* 1/4 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 3) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1/4 (* x y)) (* 1/8 (/ 1 (pow x 3))))))>
#<alt (* (pow y 3) (- (+ (/ 1/4 (* x y)) (+ (* 1/8 (/ 1 (pow x 3))) (/ (pow x 3) (pow y 3)))) (* -1/2 (/ x (pow y 2)))))>
#<alt (* 1/8 (/ (pow y 3) (pow x 3)))>
#<alt (* (pow y 3) (+ (* 1/4 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ (* 1/2 (/ x y)) (* 1/4 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1/2 x)) y)) (* 1/4 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3))))))>
#<alt (* 1/8 (/ (pow y 3) (pow x 3)))>
#<alt (/ (+ (* 1/8 (pow y 3)) (* 1/4 (* (pow x 2) (pow y 2)))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow y 3)) (* (pow x 2) (- (* 1/2 (* (pow x 2) y)) (* -1/4 (pow y 2))))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow y 3)) (* (pow x 2) (- (* (pow x 2) (- (pow x 2) (* -1/2 y))) (* -1/4 (pow y 2))))) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1 (* 1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/2 (/ y (pow x 2))) (* -1/4 (/ (pow y 2) (pow x 4))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (- (* -1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))))>
#<alt (/ -1 x)>
#<alt (- (* -1/2 (/ y (pow x 3))) (/ 1 x))>
#<alt (- (* y (- (* -1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (- (* y (- (* y (- (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 2)))) (* -4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* 2 x) (* 16 (/ (pow x 7) (pow y 3)))) (+ (* -8 (/ (pow x 5) (pow y 2))) (* -4 (/ (pow x 3) y)))) y)>
#<alt (* 2 (/ x y))>
#<alt (* -1 (/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (* 8 (/ (pow x 5) y)) (* -4 (pow x 3))) y))) y))>
#<alt (* -1 (/ (+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow x 7) y)) (* 8 (pow x 5))) y)) (* -4 (pow x 3))) y))) y))>
#<alt (* 2 (/ x y))>
#<alt (* x (+ (* 4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/2 (/ y (pow x 2))) 1) x)>
#<alt (/ (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* 1/2 (/ y (pow x 2))))) x)>
#<alt (/ (- (* -1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ y (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* -1/2 (/ y (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1 (* 1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/2 (/ y (pow x 2))) (* -1/4 (/ (pow y 2) (pow x 4))))) x))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (- (* 1/2 (/ y x)) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ x y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (/ x y) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (/ (+ (* -1 (pow x 2)) (* 1/2 y)) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* x (- (* 1/2 (/ y (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ y (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>

Calls

135 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))
2.0ms	x	@	0	(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))
1.0ms	x	@	0	(/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))
1.0ms	y	@	0	(/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))
1.0ms	x	@	inf	(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))

rewrite381.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4406×	`-lowering-.f32`
4406×	`-lowering-.f64`
2024×	`pow-lowering-pow.f64`
2024×	`pow-lowering-pow.f32`
2002×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	246
1	383	187
2	3941	187
0	8159	187

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1185

Calls

Call 1

Inputs
(* x (+ 1 (* 1/2 (/ y (* x x)))))
(+ 1 (* 1/2 (/ y (* x x))))
(* 1/2 (/ y (* x x)))
(/ y (* x x))
(* (/ 1/2 x) y)
(/ 1/2 x)
(/ 1 (/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x))))
(/ (- (/ y (/ x 1/2)) x) (- (* (* y y) (/ 1/4 (* x x))) (* x x)))
(- (/ y (/ x 1/2)) x)
(/ y (/ x 1/2))
(* (+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))) (/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x))))
(+ (* x x) (/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2))))
(/ (- (/ y (/ x 1/2)) x) (/ x (* y 1/2)))
(/ (- x (/ (* y -1/2) x)) (/ (* (* y y) 1/4) (* x x)))
(/ (* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x))))) (+ (* x x) (/ (* 1/4 (* y (/ y x))) x)))
(* (/ 1 (- (/ (* 1/2 y) x) x)) (- (* 1/16 (* (/ (* y y) (* x x)) (/ (* y y) (* x x)))) (* x (* x (* x x)))))
(/ 1 (- (/ (* 1/2 y) x) x))
(- (/ (* 1/2 y) x) x)
(* x x)
(* (* y y) (/ 1/4 (* x x)))
(/ 1/4 (* x x))
(/ (* (* y y) 1/4) (* x x))
(/ (* y y) (* x x))
(/ (* 1/4 (* y (/ y x))) x)

Outputs
(+.f64 x (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(+.f64 (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (.f64 x (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))) (-.f64 x (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
(+.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (/.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y))
(/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(/.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(pow.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
(.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 y (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x)))
(/.f64 y (*.f64 x x))
(/.f64 (/.f64 y x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 y x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 y (/.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 y (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 y #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x))))
(+.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))))) (/.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
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(/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) y) x))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 y (.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (.f64 x (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) y) (*.f64 x (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 x x))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) y) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) y)) x)
(/.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (*.f64 y #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 y (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))
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(/.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (/.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x)
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) y) #s(literal -2 binary64))
(pow.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 y (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64))))
(.f64 y (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(.f64 y (.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(.f64 y (.f64 (/.f64 y x) (/.f64 #s(literal 1/4 binary64) x)))
(.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 y y) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 y y) x) x))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))
(.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (/.f64 (.f64 y y) x) x) #s(literal 1/4 binary64))
(*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 y x) (/.f64 (.f64 y #s(literal 1/4 binary64)) x))
(.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/4 binary64) x)))
(.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 y x) (pow.f64 (/.f64 x (.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y y) x) (/.f64 #s(literal 1/4 binary64) x))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 y y) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 y (.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) x))) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y (*.f64 x x)))
(.f64 (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64))) y)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y (/.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 y (/.f64 #s(literal 2 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 y y))
(.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 y x))
(.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) y) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y)
(.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (/.f64 y x)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 y x)) (/.f64 y x))
(.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))

simplify350.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3662×	`-lowering-.f32`
3662×	`-lowering-.f64`
1748×	`+-lowering-+.f64`
1748×	`+-lowering-+.f32`
1562×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	5314
1	1644	4537
2	5753	4396
0	8211	4396

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
1
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
(* 1/2 (/ y (pow x 2)))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ y (pow x 2)))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
1
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
1
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* 1/2 (/ y (pow x 2))))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
(* 1/2 (/ y (pow x 2)))
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(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))
(* 1/4 (/ (pow y 2) (pow x 2)))

Outputs
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
x
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* y (+ (/ 1 y) (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* y (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (*.f64 x x))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (*.f64 x x))
(/ (+ (* 1/2 y) (pow x 2)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(+ 1 (* 1/2 (/ y (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(* 1/2 (/ y (pow x 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+ x (* 1/2 (/ y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(.f64 y (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x)))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ y (pow x 3))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) x) x))
(+ (* y (- (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(+ (* y (- (* y (+ (* -1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 y #s(literal -1/8 binary64)) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x x))))))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(/ (+ (* -4 (/ (pow x 3) y)) (* 2 x)) y)
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(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))

eval302.0ms (3.8%)

Compiler: Compiled 74494 to 4760 computations (93.6% saved)

prune426.0ms (5.4%)

Pruning

62 alts after pruning (56 fresh and 6 done)

	Pruned	Kept	Total
New	2042	38	2080
Fresh	23	18	41
Picked	4	1	5
Done	0	5	5
Total	2069	62	2131

Accuracy

100.0%

Counts

2131 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
	3.8%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 y y))
	4.0%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
	3.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
	16.3%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))
	22.1%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x)))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
	33.0%	(/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64)) x)) (-.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
	16.8%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) y)))))
	9.8%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
	1.6%	(/.f64 (.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
✓	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
	3.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 #s(literal 2 binary64) y)) (.f64 x x))))
	33.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x))))
	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 y y) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (.f64 x x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 y (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64))) y) (*.f64 x x))))
	12.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))))
	21.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))))
	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	33.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)))
	3.8%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
	3.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
	66.9%	(+.f64 (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
✓	67.0%	(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
	16.8%	(.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	4.3%	(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 y y) x)) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) x)))
	5.2%	(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) y) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
	16.2%	(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))
	8.7%	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
✓	3.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
	66.4%	(.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
	4.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
	4.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
	5.3%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) y) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
	4.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
	30.5%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))))
	30.0%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x)))))
	5.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))))
	5.2%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/4 binary64) x)))))
	5.2%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))))
	3.8%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 x (/.f64 #s(literal 2 binary64) y)))
	4.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
	30.4%	(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
	30.1%	(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
	4.1%	(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
	3.8%	(.f64 (+.f64 (.f64 x x) (.f64 (.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
	2.0%	(.f64 (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
	3.9%	(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
	3.6%	(.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
	66.8%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))))
	66.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x))))
	66.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
	66.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
	66.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))))))
✓	67.8%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.1%	(sqrt.f64 y)
✓	66.8%	x

Compiler

Compiled 5152 to 1492 computations (71% saved)

regimes286.0ms (3.6%)

Counts

98 → 2

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
(.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))))
(+.f64 (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (/.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64)) x)) (-.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 x (/.f64 #s(literal 2 binary64) y)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x #s(literal 2 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y (/.f64 y x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64))) y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x))))
(.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 y (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 y y) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 #s(literal 2 binary64) y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x))) #s(literal -1 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
(.f64 (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (.f64 (.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/4 binary64) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) y) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) y) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 y y) x)) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) x)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 y y))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x)))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)) x))))
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(/.f64 (.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) y)))))
(.f64 (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (/.f64 y x)) (.f64 (.f64 y (/.f64 y x)) (.f64 y (/.f64 y x))))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(sqrt.f64 y)
(sqrt.f64 (+.f64 (*.f64 x x) y))

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
x

Calls

5 calls:

121.0ms	y
53.0ms	x
32.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
29.0ms	(+.f64 (*.f64 x x) y)
26.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
85.9%	2	`y`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(*.f64 x x)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes53.0ms (0.7%)

Counts

97 → 2

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
(.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))))
(+.f64 (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (/.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64)) x)) (-.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 x (/.f64 #s(literal 2 binary64) y)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x #s(literal 2 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x))) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y (/.f64 y x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64))) y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x))))
(.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 y (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (.f64 y y) (.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 #s(literal 2 binary64) y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x x))) #s(literal -1 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
(.f64 (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (.f64 (.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y x) (.f64 y (/.f64 #s(literal 1/4 binary64) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) y) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x x))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) y) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 y (/.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 y y) x)) (/.f64 (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) x)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y)))) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 y y))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 x x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x)))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (-.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)) x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 #s(literal 1/2 binary64) y)) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x)))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) y)))))
(.f64 (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (/.f64 y x)) (.f64 (.f64 y (/.f64 y x)) (.f64 y (/.f64 y x))))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(sqrt.f64 y)

Outputs
(sqrt.f64 y)
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes61.0ms (0.8%)

Counts

96 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
(.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))))
(+.f64 (*.f64 x (/.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (/.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64)) x)) (-.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64)))))
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(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (/.f64 (/.f64 (.f64 y y) x) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)) (+.f64 x (/.f64 y (/.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal -1/4 binary64)) x)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (/.f64 y x)) (.f64 (.f64 y (/.f64 y x)) (.f64 y (/.f64 y x))))) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (/.f64 y x))) x) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (-.f64 x (/.f64 (.f64 y #s(literal -1/2 binary64)) x)) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))))

Outputs
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))

Calls

2 calls:

28.0ms	y
28.0ms	x

Results

Accuracy	Segments	Branch
67.0%	1	`y`
67.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -40.4b remaining (-190.4%)

Threshold costs -40.4b (-190.4%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)

Outputs
x

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.8%	1	`y`
66.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9082743756246084e+203	2.0497071448496496e+208

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.142561530126501e-30	2.9374626501940048e-27

Results

8.0ms	128×	0	valid
1.0ms	22×	0	invalid

Compiler

Compiled 133 to 97 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (48.5% of total)

ival-add: 1.0ms (24.2% of total)

ival-sqrt: 1.0ms (24.2% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	19	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 199999999999999997753821575012658895301868919659099845995006969768058522364723733688885393892001379690371841069111284490962985226151476247283050774389085247829486389932478102355746175960432851729204117504 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
x

Outputs
(if (<=.f64 (.f64 x x) #s(literal 199999999999999997753821575012658895301868919659099845995006969768058522364723733688885393892001379690371841069111284490962985226151476247283050774389085247829486389932478102355746175960432851729204117504 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(if (<=.f64 x #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x

soundness596.0ms (7.5%)

Rules

4180×	`-lowering-.f32`
4180×	`-lowering-.f64`
2634×	`-lowering-.f32`
2634×	`-lowering-.f64`
1974×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	590
1	408	509
2	1413	496
3	5183	470
0	8421	470
0	7	17
1	33	16
2	297	16
3	5143	16
0	8381	16

Stop Event

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

Compiler

Compiled 82 to 47 computations (42.7% saved)

preprocess43.0ms (0.5%)

Compiler: Compiled 210 to 106 computations (49.5% saved)

analyze36.0ms (0.5%)

sample826.0ms (10.4%)

preprocess92.0ms (1.2%)

explain177.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize49.0ms (0.6%)

series5.0ms (0.1%)

rewrite340.0ms (4.3%)

simplify206.0ms (2.6%)

eval31.0ms (0.4%)

prune33.0ms (0.4%)

simplify5.0ms (0.1%)

localize39.0ms (0.5%)

series22.0ms (0.3%)

rewrite242.0ms (3%)

simplify185.0ms (2.3%)

eval38.0ms (0.5%)

prune34.0ms (0.4%)

simplify199.0ms (2.5%)

localize236.0ms (3%)

series30.0ms (0.4%)

rewrite502.0ms (6.3%)

simplify337.0ms (4.2%)

eval635.0ms (8%)

prune432.0ms (5.4%)

simplify282.0ms (3.5%)

localize366.0ms (4.6%)

series40.0ms (0.5%)

rewrite381.0ms (4.8%)

simplify350.0ms (4.4%)

eval302.0ms (3.8%)

prune426.0ms (5.4%)

regimes286.0ms (3.6%)

regimes53.0ms (0.7%)

regimes61.0ms (0.8%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

simplify9.0ms (0.1%)

soundness596.0ms (7.5%)

preprocess43.0ms (0.5%)

end0.0ms (0%)

Profiling