Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

analyze28.0ms (0.4%)

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
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (50.7% of total)

ival-sub: 1.0ms (16.9% of total)

ival-div: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

sample829.0ms (10.5%)

Results

578.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-mult: 172.0ms (57.2% of total)

ival-div: 63.0ms (21% of total)

ival-sub: 53.0ms (17.6% of total)

const: 10.0ms (3.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess281.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

4872×	`sum3-define`
2598×	`fnmadd-define`
2190×	`fma-define`
1218×	`fnmadd-define`
1212×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	69	54
2	238	54
3	884	54
4	2858	54
5	4486	54
6	5393	54
7	5803	54
8	5818	54
9	5907	54
10	6425	54
11	6675	54
0	7	9
1	15	9
2	36	9
3	61	9
4	83	9
5	164	9
6	520	9
7	985	9
8	2798	9
9	6116	9
10	6584	9
11	6626	9
12	6674	9
13	6690	9
0	6690	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* (* x 2) y) (- x y))

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

Call 2

Inputs
(/ (* (* x 2) y) (- x y))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(/ (* (* y 2) x) (- y x))

Outputs
(/ (* (* x 2) y) (- x y))
(* (* x 2) (/ y (- x y)))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(* y (* x (/ 2 (+ x y))))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(* y (* x (/ -2 (+ x y))))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(* y (* x (/ -2 (+ x y))))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(* y (* x (/ 2 (+ x y))))
(/ (* (* y 2) x) (- y x))
(* (* x 2) (/ y (- y x)))

explain239.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
57	-	1	(-1.673928280549647e-219 3.941340510617546e-104)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`

Results

208.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

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

ival-mult: 17.0ms (68.7% of total)

ival-div: 4.0ms (16.2% of total)

ival-sub: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	89.2%	(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify251.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2598×	`fnmadd-define`
2190×	`fma-define`
990×	`fnmsub-define`
948×	`fmsub-define`
940×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	23	50
2	50	50
3	69	50
4	84	50
5	164	50
6	508	50
7	978	50
8	2779	50
9	6093	50
10	6562	50
11	6604	50
12	6652	50
13	6668	50
0	6668	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y (* x (/ 2 (- x y))))
y
(* x (/ 2 (- x y)))
x
(/ 2 (- x y))
2
(- x y)
(/ (* (* x 2) y) (- x y))
(* (* x 2) y)
(* x 2)
x
2
y
(- x y)

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

localize52.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	79.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	89.5%	(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))

Results

37.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (55.6% of total)

ival-div: 4.0ms (31.8% of total)

ival-sub: 2.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ 2 (- x y))
1.0ms	y	@	-inf	(* (* x 2) y)
1.0ms	x	@	inf	(* y (* x (/ 2 (- x y))))
0.0ms	y	@	inf	(* (* x 2) y)
0.0ms	x	@	0	(* y (* x (/ 2 (- x y))))

rewrite379.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2342×	`fma-lowering-fma.f32`
2342×	`fma-lowering-fma.f64`
1936×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	50	41
2	330	41
3	3447	41
0	8650	41

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 730

Calls

Call 1

Inputs
(* y (* x (/ 2 (- x y))))
(* x (/ 2 (- x y)))
(/ 2 (- x y))
(- x y)
(/ (* (* x 2) y) (- x y))
(* (* x 2) y)
(* x 2)

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

simplify290.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

6102×	`-lowering-.f32`
6102×	`-lowering-.f64`
1756×	`+-lowering-+.f64`
1756×	`+-lowering-+.f32`
1582×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	1601
1	857	1485
2	2567	1347
0	8275	1347

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -2 (/ x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
2
(+ 2 (* 2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)
(* -2 (/ x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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

eval142.0ms (1.8%)

Compiler: Compiled 32386 to 2251 computations (93% saved)

prune110.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1075	5	1080
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	1075	7	1082

Accuracy

100.0%

Counts

1082 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	41.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
▶	88.3%	(/.f64 y (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))))
▶	89.5%	(*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)
✓	89.2%	(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))
▶	50.4%	(*.f64 y #s(literal 2 binary64))
▶	50.3%	(*.f64 x #s(literal -2 binary64))

Compiler

Compiled 104 to 70 computations (32.7% saved)

simplify205.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2576×	`-lowering-.f32`
2576×	`-lowering-.f64`
2448×	`/-lowering-/.f32`
2448×	`/-lowering-/.f64`
1440×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	39	76
2	87	76
3	143	76
4	332	73
5	1214	73
6	4135	73
0	8144	73

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ x (/ (- x y) 2)) y)
(/ x (/ (- x y) 2))
x
(/ (- x y) 2)
(- x y)
y
2
(* x -2)
x
-2
(* y 2)
y
2
(/ (* (* x 2) y) x)
(* (* x 2) y)
(* x 2)
x
2
y
(/ y (/ (- x y) (* x 2)))
y
(/ (- x y) (* x 2))
(- x y)
x
(* x 2)
2

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

localize67.0ms (0.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	89.0%	(/.f64 y (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	79.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
✓	accuracy	89.5%	(*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)

Results

44.0ms

256×

valid

Compiler

Compiled 83 to 16 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (50% of total)

ival-mult: 8.0ms (40% of total)

ival-sub: 2.0ms (10% of total)

const: 1.0ms (5% of total)

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

series7.0ms (0.1%)

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/ (- x y) (* x 2))
0.0ms	y	@	-inf	(/ (- x y) (* x 2))
0.0ms	y	@	0	(/ (- x y) (* x 2))
0.0ms	x	@	0	(/ (- x y) (* x 2))
0.0ms	x	@	-inf	(/ (- x y) (* x 2))

rewrite392.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3686×	`/-lowering-/.f32`
3686×	`/-lowering-/.f64`
904×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	85	57
2	592	57
3	6653	54
0	8330	54

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 999

Calls

Call 1

Inputs
(* (/ x (/ (- x y) 2)) y)
(/ x (/ (- x y) 2))
(/ (- x y) 2)
(- x y)
(* x -2)
(* y 2)
(/ (* (* x 2) y) x)
(* (* x 2) y)
(* x 2)
(/ y (/ (- x y) (* x 2)))
(/ (- x y) (* x 2))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x #s(literal -2 binary64)))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))) (/.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) y))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (*.f64 x y) (/.f64 (-.f64 x y) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (-.f64 y x))
(/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x y) (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (/.f64 y (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1/2 binary64))
(/.f64 (/.f64 y (-.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 y (/.f64 x (-.f64 y x))) #s(literal -1/2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))) (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 x y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 x (/.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (.f64 x (/.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (/.f64 (/.f64 y (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) y) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) y)))
(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 #s(literal -2 binary64) (.f64 y (/.f64 x (-.f64 y x))))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 (-.f64 x y) #s(literal -2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) y))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 y (-.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) y)
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
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(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 x y))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
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(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
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(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 y x))
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(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 2 binary64)))
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(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
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simplify307.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4736×	`-lowering-.f32`
4736×	`-lowering-.f64`
1770×	`fma-define`
1598×	`fma-lowering-fma.f32`
1598×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	1717
1	711	1627
2	2103	1546
3	7331	1541
0	8561	1541

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 (/ x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
2
(+ 2 (* 2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)
(* -2 (/ x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* -1/2 (/ y x))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1/2 (/ y x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))

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

eval531.0ms (6.7%)

Compiler: Compiled 23884 to 2771 computations (88.4% saved)

prune164.0ms (2.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1356	3	1359
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	1356	10	1366

Accuracy

100.0%

Counts

1366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) y))
✓	79.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	41.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	88.3%	(/.f64 y (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))))
▶	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓	89.5%	(*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)
▶	38.5%	(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x)
✓	89.2%	(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.3%	(*.f64 x #s(literal -2 binary64))

Compiler

Compiled 92 to 63 computations (31.5% saved)

simplify246.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
1658×	`/-lowering-/.f32`
1658×	`/-lowering-/.f64`
1474×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	32	61
2	68	61
3	139	52
4	279	51
5	608	51
6	2224	51
7	5456	51
0	8198	51

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize97.0ms (1.2%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	accuracy	89.2%	(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (/.f64 x y))
✓	accuracy	77.4%	(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x)

Results

80.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 14.0ms (68% of total)

ival-mult: 5.0ms (24.3% of total)

ival-sub: 1.0ms (4.9% of total)

const: 1.0ms (4.9% of total)

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

series17.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/ 1/2 y)
2.0ms	y	@	inf	(/ 1/2 y)
0.0ms	y	@	0	(/ 2 (/ x y))
0.0ms	y	@	inf	(/ (/ 2 (- 1 (/ y x))) (/ 1 y))
0.0ms	y	@	-inf	(/ 2 (/ x y))

rewrite265.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3296×	`-lowering-.f32`
3296×	`-lowering-.f64`
2744×	`/-lowering-/.f32`
2744×	`/-lowering-/.f64`
1380×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	93	47
2	637	47
3	6519	47
0	8362	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 520

Calls

Call 1

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

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

simplify239.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4586×	`-lowering-.f32`
4586×	`-lowering-.f64`
1496×	`fma-define`
1410×	`fma-lowering-fma.f32`
1410×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1206
1	629	1141
2	1845	1097
3	5841	1092
0	8413	1092

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 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)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(- (+ (* -2 x) (* -2 (/ (pow x 3) (pow y 2)))) (* 2 (/ (pow x 2) y)))
(- (+ (* -2 x) (* -2 (/ (pow x 4) (pow y 3)))) (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow x 3) (pow y 2)))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 4) y)) (* 2 (pow x 3))) y)) (* -2 (pow x 2))) y)))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/ (- (+ (* -2 x) (* -2 (/ (pow x 3) (pow y 2)))) (* 2 (/ (pow x 2) y))) y)
(/ (- (+ (* -2 x) (* -2 (/ (pow x 4) (pow y 3)))) (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow x 3) (pow y 2))))) y)
(* -2 (/ x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))
(* -2 (/ x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
2
(+ 2 (* 2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)

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

eval84.0ms (1.1%)

Compiler: Compiled 10834 to 1444 computations (86.7% saved)

prune82.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	723	1	724
Fresh	0	0	0
Picked	1	2	3
Done	3	4	7
Total	727	7	734

Accuracy

100.0%

Counts

734 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
▶	88.8%	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y))
✓	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓	89.5%	(*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)
✓	38.5%	(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x)
✓	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.3%	(*.f64 x #s(literal -2 binary64))

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify158.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2208×	`fnmadd-define`
2070×	`fmm-def`
1736×	`fnmsub-define`
1486×	`fma-lowering-fma.f32`
1486×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	17	28
2	33	28
3	58	26
4	112	24
5	198	24
6	385	24
7	962	24
8	3078	24
9	7020	24
0	8344	24

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 2 (/ (- 1 (/ y x)) y))
2
(/ (- 1 (/ y x)) y)
(- 1 (/ y x))
1
(/ y x)
y
x

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

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y))
✓	accuracy	89.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y)

Results

22.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 6.0ms (78% of total)

ival-sub: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ (- 1 (/ y x)) y)
0.0ms	x	@	inf	(/ (- 1 (/ y x)) y)
0.0ms	y	@	inf	(/ (- 1 (/ y x)) y)
0.0ms	x	@	0	(/ (- 1 (/ y x)) y)
0.0ms	y	@	0	(/ (- 1 (/ y x)) y)

rewrite242.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2696×	`/-lowering-/.f32`
2696×	`/-lowering-/.f64`
2692×	`-lowering-.f32`
2692×	`-lowering-.f64`
1640×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	50	24
2	396	24
3	7148	24
0	8040	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 299

Calls

Call 1

Inputs
(/ 2 (/ (- 1 (/ y x)) y))
(/ (- 1 (/ y x)) y)
(- 1 (/ y x))
(/ y x)

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

simplify303.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4512×	`-lowering-.f32`
4512×	`-lowering-.f64`
2006×	`+-lowering-+.f64`
2006×	`+-lowering-+.f32`
1736×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	640
1	420	595
2	1232	570
3	3579	565
0	8761	565

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(- (+ (* -2 x) (* -2 (/ (pow x 3) (pow y 2)))) (* 2 (/ (pow x 2) y)))
(- (+ (* -2 x) (* -2 (/ (pow x 4) (pow y 3)))) (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow x 3) (pow y 2)))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 4) y)) (* 2 (pow x 3))) y)) (* -2 (pow x 2))) y)))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(/ 1 y)
(/ (+ 1 (* -1 (/ y x))) y)
(/ (+ 1 (* -1 (/ y x))) y)
(/ (+ 1 (* -1 (/ y x))) y)
(/ -1 x)
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(/ -1 x)
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(/ -1 x)
(/ (- (/ x y) 1) x)
(/ (- (/ x y) 1) x)
(/ (- (/ x y) 1) x)
(/ 1 y)
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(/ 1 y)
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
(- (/ 1 y) (/ 1 x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

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

eval45.0ms (0.6%)

Compiler: Compiled 8494 to 1033 computations (87.8% saved)

prune43.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	395	7	402

Accuracy

100.0%

Counts

402 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	88.8%	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y))
✓	50.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓	89.5%	(*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)
✓	38.5%	(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x)
✓	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.3%	(*.f64 x #s(literal -2 binary64))

Compiler

Compiled 140 to 74 computations (47.1% saved)

regimes24.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.7%	3	`x`
96.3%	3	`y`
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.9%	3	`y`
77.3%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))

Outputs
(*.f64 x #s(literal -2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7124609266334703e-184	4.466530511582941e-177
13.0ms	-9.396312006272702e-107	-7.396930447574372e-113

Results

17.0ms

288×

valid

Compiler

Compiled 340 to 245 computations (27.9% saved)

Precisions

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

ival-mult: 4.0ms (43.5% of total)

ival-div: 3.0ms (32.6% of total)

ival-sub: 2.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.0173403096920444e-161	4.5682071361305854e-156
12.0ms	-9.396312006272702e-107	-7.396930447574372e-113

Results

16.0ms

288×

valid

Compiler

Compiled 340 to 245 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (49.1% of total)

ival-sub: 2.0ms (24.6% of total)

ival-div: 2.0ms (24.6% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.445269218261507e+40	1.0434564724109356e+44
10.0ms	-4.3633285135098283e+24	-2.3144415947956476e+23

Results

13.0ms

240×

valid

Compiler

Compiled 196 to 161 computations (17.9% saved)

Precisions

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

ival-mult: 4.0ms (58.4% of total)

ival-div: 2.0ms (29.2% of total)

ival-sub: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	60
1	47	60
2	52	60
3	54	60
4	55	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -4765526036770151/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y) (if (<=.f64 x #s(literal 8668637173482171/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)))
(if (<=.f64 x #s(literal -7192288940437905/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (if (<=.f64 x #s(literal 7110749042351755/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (.f64 x #s(literal -2 binary64)) (.f64 y (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(if (<=.f64 y #s(literal -1350000000000000004194304 binary64)) (.f64 x #s(literal -2 binary64)) (if (<=.f64 y #s(literal 5400000000000000149537345515206430024531968 binary64)) (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))

Outputs
(if (<=.f64 x #s(literal -4765526036770151/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y) (if (<=.f64 x #s(literal 8668637173482171/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) y)))
(if (<=.f64 x #s(literal -4765526036770151/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (.f64 y (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) (if (<=.f64 x #s(literal 8668637173482171/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 y (/.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -7192288940437905/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (if (<=.f64 x #s(literal 7110749042351755/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (.f64 x #s(literal -2 binary64)) (.f64 y (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(if (<=.f64 y #s(literal -1350000000000000004194304 binary64)) (.f64 x #s(literal -2 binary64)) (if (<=.f64 y #s(literal 5400000000000000149537345515206430024531968 binary64)) (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))

soundness1.5s (19.5%)

Rules

6102×	`-lowering-.f32`
6102×	`-lowering-.f64`
3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2598×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	50	41
2	330	41
3	3447	41
0	8650	41
0	7	9
1	15	9
2	36	9
3	61	9
4	83	9
5	164	9
6	520	9
7	985	9
8	2798	9
9	6116	9
10	6584	9
11	6626	9
12	6674	9
13	6690	9
0	6690	9
0	261	1601
1	857	1485
2	2567	1347
0	8275	1347

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 193 to 107 computations (44.6% saved)

preprocess85.0ms (1.1%)

Compiler: Compiled 256 to 108 computations (57.8% saved)

analyze28.0ms (0.4%)

sample829.0ms (10.5%)

preprocess281.0ms (3.6%)

explain239.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify251.0ms (3.2%)

localize52.0ms (0.7%)

series13.0ms (0.2%)

rewrite379.0ms (4.8%)

simplify290.0ms (3.7%)

eval142.0ms (1.8%)

prune110.0ms (1.4%)

simplify205.0ms (2.6%)

localize67.0ms (0.8%)

series7.0ms (0.1%)

rewrite392.0ms (5%)

simplify307.0ms (3.9%)

eval531.0ms (6.7%)

prune164.0ms (2.1%)

simplify246.0ms (3.1%)

localize97.0ms (1.2%)

series17.0ms (0.2%)

rewrite265.0ms (3.3%)

simplify239.0ms (3%)

eval84.0ms (1.1%)

prune82.0ms (1%)

simplify158.0ms (2%)

localize30.0ms (0.4%)

series3.0ms (0%)

rewrite242.0ms (3.1%)

simplify303.0ms (3.8%)

eval45.0ms (0.6%)

prune43.0ms (0.5%)

regimes24.0ms (0.3%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch29.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch23.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.5s (19.5%)

preprocess85.0ms (1.1%)

end0.0ms (0%)

Profiling