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

analyze17.0ms (0.2%)

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 (51.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-div: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

sample865.0ms (8.8%)

Results

598.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-mult: 197.0ms (50.8% of total)

ival-div: 130.0ms (33.5% of total)

ival-sub: 47.0ms (12.1% of total)

const: 11.0ms (2.8% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess177.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

858×	`associate-l`
840×	`times-frac`
812×	`times-frac`
802×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	69	54
2	236	54
3	842	54
4	2471	54
5	3077	54
6	3243	54
7	3257	54
8	3272	54
9	3277	54
10	3277	54
11	3481	54
12	3577	54
13	3577	54
14	3681	54
15	4365	54
0	7	9
1	15	9
2	36	9
3	60	9
4	80	9
5	144	9
6	306	9
7	676	9
8	1544	9
9	2390	9
10	2407	9
11	2421	9
12	2433	9
13	2433	9
0	2433	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain87.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	4	(1.8482184467298049e-183 1.8216228963924378e-137)	`(/.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

61.0ms

512×

valid

Compiler

Compiled 63 to 35 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 27.0ms (77.7% of total)

ival-div: 4.0ms (11.5% of total)

ival-sub: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize117.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	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	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Rules

840×	`times-frac`
672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	15	23
2	36	23
3	60	23
4	80	23
5	144	23
6	306	23
7	676	23
8	1544	23
9	2390	23
10	2407	23
11	2421	23
12	2433	23
13	2433	23
0	2433	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

25.0ms

256×

valid

Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions

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

ival-mult: 9.0ms (70.2% of total)

ival-div: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

const: 1.0ms (7.8% of total)

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

series11.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

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)>
#<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 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 (* -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)))))>

Calls

21 calls:

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

rewrite618.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5632×	`/-lowering-/.f32`
5632×	`/-lowering-/.f64`
3830×	`-lowering-.f32`
3830×	`-lowering-.f64`
2056×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	36	20
2	246	20
3	2747	20
0	9202	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 405

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (+.f64 x y))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (+.f64 x y))) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 x y)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) x) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) y))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) y) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) x))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(+.f64 (.f64 x (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y)))) (.f64 y (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y)))))
(+.f64 (.f64 y (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y)))) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x y) (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 y (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 y (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (+.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (+.f64 x y)) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x y)))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) x (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (*.f64 y y))) y))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) y (.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (*.f64 y y))) x))
(neg.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 x (.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (.f64 x (.f64 y #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 x y) y)))
(/.f64 (/.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.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 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 x y))) (-.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(/.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y)))
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simplify813.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

14398×	`accelerator-lowering-fma.f32`
14398×	`accelerator-lowering-fma.f64`
5052×	`-lowering-.f32`
5052×	`-lowering-.f64`
1978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3097	517
4	6412	517
0	8130	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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))
(* -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)))))

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

eval79.0ms (0.8%)

Compiler: Compiled 14036 to 3798 computations (72.9% saved)

prune69.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	483	6	489
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	483	7	490

Accuracy

100.0%

Counts

490 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
✓	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	89.7%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	92.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	53.3%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
▶	53.5%	(*.f64 y #s(literal 2 binary64))
▶	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 123 to 85 computations (30.9% saved)

localize449.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) y)
✓	accuracy	89.7%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓	accuracy	92.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)

Rules

1648×	`accelerator-lowering-fma.f32`
1648×	`accelerator-lowering-fma.f64`
1296×	`-lowering-.f32`
1296×	`-lowering-.f64`
926×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	39	67
2	77	67
3	113	67
4	147	67
5	226	67
6	426	67
7	953	67
8	2269	67
9	3099	67
10	3449	67
11	3644	67
12	3676	67
13	3681	67
14	3721	67
15	3825	67
16	3941	67
17	3995	67
18	3995	67
19	4071	67
20	4273	67
21	4461	67
22	4477	67
23	4477	67
24	4493	67
25	4501	67
26	4511	67
27	4541	67
28	4541	67
29	4541	67
0	4541	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

71.0ms

256×

valid

Compiler

Compiled 88 to 44 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 23.0ms (51.4% of total)

ival-div: 16.0ms (35.8% of total)

ival-add: 3.0ms (6.7% of total)

const: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.2% of total)

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

series22.0ms (0.2%)

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+ 2 (/ (* y 2) x))
1.0ms	y	@	0	(* y (+ 2 (/ (* y 2) x)))
0.0ms	y	@	inf	(* y (+ 2 (/ (* y 2) x)))
0.0ms	x	@	0	(/ (- x y) y)
0.0ms	y	@	-inf	(* y (+ 2 (/ (* y 2) x)))

rewrite443.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4942×	`-lowering-.f32`
4942×	`-lowering-.f64`
4274×	`/-lowering-/.f32`
4274×	`/-lowering-/.f64`
3668×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	92	63
2	714	63
0	8657	61

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 902

Calls

Call 1

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

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

simplify795.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

14160×	`accelerator-lowering-fma.f32`
14160×	`accelerator-lowering-fma.f64`
5440×	`-lowering-.f32`
5440×	`-lowering-.f64`
1306×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1762
1	598	1708
2	1634	1629
3	5412	1629
0	8302	1510

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

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

eval331.0ms (3.4%)

Compiler: Compiled 24956 to 9656 computations (61.3% saved)

prune230.0ms (2.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1276	3	1279
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1278	8	1286

Accuracy

100.0%

Counts

1286 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	53.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	92.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	39.6%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
▶	89.5%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) x)
✓	53.3%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	53.5%	(*.f64 y #s(literal 2 binary64))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 70 to 49 computations (30% saved)

localize400.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) x) y)
✓	cost-diff	256	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	cost-diff	0	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -2 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	82.2%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	89.7%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) x)

Rules

3940×	`accelerator-lowering-fma.f32`
3940×	`accelerator-lowering-fma.f64`
3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
1550×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	32	54
2	64	46
3	113	46
4	222	46
5	633	46
6	2809	46
7	5241	46
0	8384	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

56.0ms

256×

valid

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 14.0ms (41.6% of total)

ival-mult: 14.0ms (41.6% of total)

ival-sub: 4.0ms (11.9% of total)

const: 2.0ms (5.9% of total)

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

series17.0ms (0.2%)

Counts

9 → 180

Calls

Call 1

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

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

45 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (* -2 x) y)
0.0ms	x	@	0	(/ (* -2 x) y)
0.0ms	x	@	-inf	(/ (* -2 x) y)
0.0ms	y	@	inf	(* y (/ 2 (- x y)))
0.0ms	y	@	-inf	(* y (/ 2 (- x y)))

rewrite289.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2386×	`-lowering-.f32`
2386×	`-lowering-.f64`
2036×	`/-lowering-/.f32`
2036×	`/-lowering-/.f64`
1106×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	70	49
2	392	41
0	3913	41

Stop Event

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

Counts

9 → 609

Calls

Call 1

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

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

simplify941.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

18484×	`accelerator-lowering-fma.f32`
18484×	`accelerator-lowering-fma.f64`
5804×	`-lowering-.f32`
5804×	`-lowering-.f64`
2054×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1464
1	766	1383
2	2150	1306
3	7694	1302
0	8145	1208

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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 (/ y x))
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y))))
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
-2
(- (* -2 (/ x y)) 2)
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2)
-2
(- (* -2 (/ x y)) 2)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)
(* 2 (/ y x))
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x)
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x)
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x)
(* 2 (/ y x))
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x))
(/ -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)
(* -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 x)
(* -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 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -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 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ 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)
(* y (+ 2 (* 2 (/ y x))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 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 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64)))) 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 (.f64 #s(literal 2 binary64) x) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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eval181.0ms (1.8%)

Compiler: Compiled 12696 to 5147 computations (59.5% saved)

prune114.0ms (1.2%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	784	5	789
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	785	12	797

Accuracy

100.0%

Counts

797 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	36.4%	(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) y))) y)
✓	53.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
▶	47.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	92.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	36.3%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 y x))
✓	89.5%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) x)
▶	43.1%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) x)) x)
▶	47.0%	(.f64 (.f64 y (/.f64 #s(literal -2 binary64) y)) x)
✓	53.3%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	53.5%	(*.f64 y #s(literal 2 binary64))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 149 to 105 computations (29.5% saved)

localize958.0ms (9.8%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	64	(neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	320	(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) y))) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	256	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	256	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) x)) x)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	256	(*.f64 y (/.f64 #s(literal -2 binary64) y))
✓	cost-diff	256	(.f64 (.f64 y (/.f64 #s(literal -2 binary64) y)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	76.1%	(/.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) y))) y)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	75.9%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal 2 binary64) x))
✓	accuracy	81.6%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	100.0%	(.f64 (.f64 y (/.f64 #s(literal -2 binary64) y)) x)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal -2 binary64) y))

Rules

18028×	`accelerator-lowering-fma.f32`
18028×	`accelerator-lowering-fma.f64`
3988×	`-lowering-.f32`
3988×	`-lowering-.f64`
2336×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	82
1	53	81
2	116	57
3	224	53
4	483	53
5	2107	53
6	3934	53
7	7438	53
0	8304	53

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

85.0ms

256×

valid

Compiler

Compiled 91 to 53 computations (41.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 37.0ms (65.9% of total)

ival-mult: 14.0ms (24.9% of total)

const: 3.0ms (5.3% of total)

ival-neg: 2.0ms (3.6% of total)

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

series18.0ms (0.2%)

Counts

14 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite423.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3326×	`/-lowering-/.f32`
3326×	`/-lowering-/.f64`
2524×	`-lowering-.f32`
2524×	`-lowering-.f64`
1032×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	93	70
2	444	46
3	2832	46
0	8617	46

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1249

Calls

Call 1

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

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

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
20×	`*-commutative`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	912
1	27	912
2	39	912
3	41	912
0	41	912

Stop Event

1×	iter limit
1×	saturated

Counts

264 → 264

Calls

Call 1

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

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

eval382.0ms (3.9%)

Compiler: Compiled 18348 to 11124 computations (39.4% saved)

prune371.0ms (3.8%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	1549	3	1552
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	1550	14	1564

Accuracy

100.0%

Counts

1564 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(/.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
	36.4%	(/.f64 (/.f64 x (/.f64 #s(literal -1/2 binary64) y)) y)
	39.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal -1/2 binary64) y))
✓	76.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	53.4%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	47.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	92.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	36.3%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 y x))
✓	89.5%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) (-.f64 x y))) x)
✓	43.1%	(.f64 (.f64 y (/.f64 #s(literal 2 binary64) x)) x)
✓	47.0%	(.f64 (.f64 y (/.f64 #s(literal -2 binary64) y)) x)
✓	53.3%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	53.5%	(*.f64 y #s(literal 2 binary64))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 253 to 161 computations (36.4% saved)

regimes49.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
16.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`y`
99.2%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes25.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

11.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
94.9%	3	`x`
94.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
78.5%	5	`x`
76.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
31.0ms	3.609532879370932e-6	26880489.52487039
4.0ms	-257373145921763.1	-283912960024.70074

Results

9.0ms

160×

valid

Compiler

Compiled 256 to 171 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.3% of total)

ival-sub: 1.0ms (21.7% of total)

ival-div: 1.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

bsearch51.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.3831399779417372e+26	8.27191064707354e+30
14.0ms	-1.2240123468611659e+92	-4.620797825316526e+79

Results

16.0ms

288×

valid

Compiler

Compiled 448 to 299 computations (33.3% saved)

Precisions

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

ival-mult: 4.0ms (48.1% of total)

ival-sub: 2.0ms (24.1% of total)

ival-div: 2.0ms (24.1% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0392748693258548e-207	2.4664296410018103e-205
16.0ms	-3.7142262746074194e-201	-5.24043088954728e-213

Results

17.0ms

272×

valid

Compiler

Compiled 424 to 300 computations (29.2% saved)

Precisions

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

ival-mult: 5.0ms (52.7% of total)

ival-sub: 2.0ms (21.1% of total)

ival-div: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3831399779417372e+26	8.27191064707354e+30
11.0ms	-1.9267948653740142e-35	-8.402359771668995e-40

Results

16.0ms

256×

valid

Compiler

Compiled 304 to 235 computations (22.7% saved)

Precisions

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

ival-mult: 4.0ms (52% of total)

ival-div: 2.0ms (26% of total)

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

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3831399779417372e+26	8.27191064707354e+30
15.0ms	-1.9267948653740142e-35	-8.402359771668995e-40

Results

14.0ms

256×

valid

Compiler

Compiled 208 to 171 computations (17.8% saved)

Precisions

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

ival-mult: 4.0ms (54.3% of total)

ival-div: 2.0ms (27.2% of total)

ival-sub: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 150 to 88 computations (41.3% saved)

preprocess129.0ms (1.3%)

Compiler: Compiled 396 to 232 computations (41.4% saved)

analyze17.0ms (0.2%)

sample865.0ms (8.8%)

preprocess177.0ms (1.8%)

explain87.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

localize117.0ms (1.2%)

series11.0ms (0.1%)

rewrite618.0ms (6.3%)

simplify813.0ms (8.3%)

eval79.0ms (0.8%)

prune69.0ms (0.7%)

localize449.0ms (4.6%)

series22.0ms (0.2%)

rewrite443.0ms (4.5%)

simplify795.0ms (8.1%)

eval331.0ms (3.4%)

prune230.0ms (2.3%)

localize400.0ms (4.1%)

series17.0ms (0.2%)

rewrite289.0ms (2.9%)

simplify941.0ms (9.6%)

eval181.0ms (1.8%)

prune114.0ms (1.2%)

localize958.0ms (9.8%)

series18.0ms (0.2%)

rewrite423.0ms (4.3%)

simplify154.0ms (1.6%)

eval382.0ms (3.9%)

prune371.0ms (3.8%)

regimes49.0ms (0.5%)

regimes25.0ms (0.3%)

regimes23.0ms (0.2%)

regimes25.0ms (0.3%)

regimes10.0ms (0.1%)

regimes1.0ms (0%)

bsearch37.0ms (0.4%)

bsearch51.0ms (0.5%)

bsearch28.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch28.0ms (0.3%)

soundness2.0ms (0%)

preprocess129.0ms (1.3%)

end0.0ms (0%)

Profiling