Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample694.0ms (7.1%)

Memory

52.5MiB live, 1 063.6MiB allocated

Samples

413.0ms	7 641×	0	valid
41.0ms	369×	1	valid
28.0ms	184×	2	valid
11.0ms	62×	3	valid

Precisions

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

ival-add: 213.0ms (90.4% of total)

adjust: 16.0ms (6.8% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess296.0ms (3%)

Memory

-36.4MiB live, 88.9MiB allocated

Algorithm

2×	egg-herbie

Rules

2 202×	`unsub-neg`
1 340×	`distribute-neg-in`
1 114×	`associate-+r+`
876×	`sub-neg`
768×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	115
1	145	92
2	571	90
3	2404	90
4	4317	90
5	5679	90
6	6085	90
7	6199	90
8	6210	90
9	6210	90
10	6865	90
11	7074	90
12	7098	90
13	7106	90
14	7106	90
15	7106	90
16	7110	90
17	7842	90
0	8	11
1	21	9
2	66	9
3	161	9
4	254	9
5	259	9
0	259	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)

Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))

Call 2

Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x))
(+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x)
(+ (+ (+ (+ (+ x y) y) x) (neg z)) x)
(neg (+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x)))
(neg (+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x))
(neg (+ (+ (+ (+ (+ x y) y) x) (neg z)) x))
(+ (+ (+ (+ (+ y x) x) y) z) y)
(+ (+ (+ (+ (+ z y) y) z) x) z)
(+ (+ (+ (+ (+ x z) z) x) y) x)

Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ x (+ (* (+ x y) 2) z))
(+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x))
(+ z (- (* (- x y) -2) x))
(+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x)
(+ z (+ x (* (- x y) 2)))
(+ (+ (+ (+ (+ x y) y) x) (neg z)) x)
(+ y (- y (+ z (* x -3))))
(neg (+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x)))
(- x (+ z (* (- x y) -2)))
(neg (+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x))
(+ y (+ y (- (* x -3) z)))
(neg (+ (+ (+ (+ (+ x y) y) x) (neg z)) x))
(+ z (- (- (* x -3) y) y))
(+ (+ (+ (+ (+ y x) x) y) z) y)
(+ x (+ z (+ x (* y 3))))
(+ (+ (+ (+ (+ z y) y) z) x) z)
(+ y (+ y (+ x (* z 3))))
(+ (+ (+ (+ (+ x z) z) x) y) x)
(+ (+ x y) (* (+ x z) 2))

explain191.0ms (2%)

Memory

7.8MiB live, 244.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (+.f64 x y) y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
-	-	`(+.f64 (+.f64 x y) y)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

24.0ms	474×	0	valid
4.0ms	12×	2	valid
2.0ms	20×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 12.0ms (86.3% of total)

adjust: 1.0ms (7.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify10.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x y) y)
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 x y) y) x)

Rules

266×	`+-lowering-+.f64`
266×	`+-lowering-+.f32`
222×	`associate-+r+`
132×	`associate-+l+`
104×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	21	32
2	66	32
3	161	32
4	254	32
5	259	32
0	259	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ x y) y) x) z)
(+ (+ (+ x y) y) x)
(+ (+ x y) y)
(+ x y)
x
y
z

Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+ (+ (+ (+ x y) y) x) z)
(+.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z)
(+ (+ (+ x y) y) x)
(*.f64 (+.f64 x y) #s(literal 2 binary64))
(+ (+ x y) y)
(+.f64 x (*.f64 y #s(literal 2 binary64)))
(+ x y)
(+.f64 x y)
x
y
z

localize29.0ms (0.3%)

Memory

-26.4MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	accuracy	100.0%	(+.f64 (+.f64 x y) y)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

12.0ms	237×	0	valid
1.0ms	10×	1	valid
1.0ms	6×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-add: 6.0ms (89.3% of total)

adjust: 1.0ms (14.9% of total)

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

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

series5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (+ (+ (+ x y) y) x)>
#<alt (+ (+ (+ (+ (+ x y) y) x) z) x)>
#<alt (+ (+ (+ (+ x y) y) x) z)>
#<alt (+ (+ x y) y)>
#<alt (+ x y)>

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (+ (+ x y) y) x)
0.0ms	x	@	0	(+ (+ (+ x y) y) x)
0.0ms	z	@	inf	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	y	@	0	(+ (+ (+ x y) y) x)
0.0ms	z	@	-inf	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite456.0ms (4.7%)

Memory

12.7MiB live, 779.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 184×	`accelerator-lowering-fma.f32`
5 184×	`accelerator-lowering-fma.f64`
4 742×	`-lowering-.f32`
4 742×	`-lowering-.f64`
4 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	76	29
2	873	29
0	8127	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 593

Calls

Call 1

Inputs
(+ (+ (+ x y) y) x)
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ x y) y) x) z)
(+ (+ x y) y)
(+ x y)

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

simplify313.0ms (3.2%)

Memory

17.2MiB live, 481.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
2 766×	`-lowering-.f32`
2 766×	`-lowering-.f64`
1 564×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2776	762
4	6698	762
0	8240	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval117.0ms (1.2%)

Memory: -35.8MiB live, 165.3MiB allocated
Compiler: Compiled 28 646 to 2 678 computations (90.7% saved)

prune101.0ms (1%)

Memory

35.6MiB live, 231.5MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	723	14	737
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	724	14	738

Accuracy

100.0%

Counts

738 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x z) (+.f64 x z))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z)))
	31.3%	(/.f64 (+.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 (.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) (+.f64 x y))))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))))
	99.8%	(+.f64 (+.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1 binary64))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) z) x)
▶	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
	99.9%	(+.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) (+.f64 (+.f64 x z) x))
	66.4%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
▶	67.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	40.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	65.3%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
▶	38.3%	(+.f64 z x)
	32.8%	(*.f64 x #s(literal 3 binary64))
	35.7%	(*.f64 #s(literal 2 binary64) y)
▶	33.4%	z

Compiler

Compiled 420 to 234 computations (44.3% saved)

simplify14.0ms (0.1%)

Memory

-21.8MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
88×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	90
1	41	90
2	103	90
3	196	90
4	209	90
5	209	90
0	209	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (+ (* 2 (+ y x)) z) x)
(+.f64 (+.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 x #s(literal 3 binary64)))
(+ (* 2 (+ y x)) z)
(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))
(* 2 (+ y x))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
2
#s(literal 2 binary64)
(+ y x)
(+.f64 y x)
y
x
z
z
(+ z x)
(+.f64 x z)
z
x
(+ (* 2 y) z)
(+.f64 z (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
z
(/ 1 (/ 1 (+ (* 2 (+ x y)) (+ x z))))
(+.f64 (+.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* 2 (+ x y)) (+ x z)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 x #s(literal 3 binary64))))
(+ (* 2 (+ x y)) (+ x z))
(+.f64 (+.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 x #s(literal 3 binary64)))
(* 2 (+ x y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 y x)
x
y
(+ x z)
(+.f64 x z)
z

localize108.0ms (1.1%)

Memory

15.2MiB live, 96.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 y x))
✓	accuracy	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)

Samples

34.0ms	11×	1	valid
26.0ms	232×	0	valid
3.0ms	9×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 96 to 20 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

adjust: 32.0ms (62.7% of total)

ival-add: 10.0ms (19.6% of total)

ival-mult: 5.0ms (9.8% of total)

ival-div: 4.0ms (7.8% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series14.0ms (0.1%)

Memory

-14.1MiB live, 24.4MiB allocated

Counts

11 → 312

Calls

Call 1

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

Outputs
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* 2 (+ x y))>
#<alt (+ z (* 2 (+ x y)))>
#<alt (+ z (* 2 (+ x y)))>
#<alt (+ z (* 2 (+ x y)))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt z>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<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 (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (/ 1 (+ z (* 2 y)))>
#<alt (+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))>
#<alt (+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))>
#<alt (+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)>
#<alt (/ 1/3 x)>
#<alt (* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))>
#<alt (/ 1 (+ x (+ z (* 2 x))))>
#<alt (+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)>
#<alt (/ 1/2 y)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))>
#<alt (/ 1 (+ x (* 2 (+ x y))))>
#<alt (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)>
#<alt (/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* 2 y)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (+ (* 2 (+ x y)) (+ x z)))
1.0ms	z	@	inf	(/ 1 (+ (* 2 (+ x y)) (+ x z)))
1.0ms	z	@	0	(/ 1 (+ (* 2 (+ x y)) (+ x z)))
1.0ms	z	@	0	(+ (+ (* 2 (+ y x)) z) x)
0.0ms	y	@	0	(/ 1 (+ (* 2 (+ x y)) (+ x z)))

rewrite663.0ms (6.8%)

Memory

-18.2MiB live, 1 087.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 180×	`/-lowering-/.f32`
4 180×	`/-lowering-/.f64`
4 172×	`accelerator-lowering-fma.f32`
4 172×	`accelerator-lowering-fma.f64`
4 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	141	69
2	1299	69
0	8173	63

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 574

Calls

Call 1

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

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

simplify731.0ms (7.5%)

Memory

11.8MiB live, 802.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 356×	`accelerator-lowering-fma.f32`
14 356×	`accelerator-lowering-fma.f64`
7 252×	`-lowering-.f32`
7 252×	`-lowering-.f64`
3 938×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	3034
1	980	2987
2	2703	2840
0	8890	2515

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* 2 (+ x y))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
z
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
z
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(/ 1 (+ z (* 2 y)))
(+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)
(/ 1/3 x)
(* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(/ 1 (+ x (+ z (* 2 x))))
(+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(/ 1 (+ x (* 2 (+ x y))))
(+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(/ 1 z)
(/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)
(/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)
(/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)
(/ 1 z)
(* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))

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

eval678.0ms (7%)

Memory: 1.9MiB live, 381.0MiB allocated
Compiler: Compiled 80 229 to 3 624 computations (95.5% saved)

prune385.0ms (4%)

Memory

0.3MiB live, 361.3MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 879	7	1 886
Fresh	4	5	9
Picked	1	4	5
Done	0	0	0
Total	1 884	16	1 900

Accuracy

100.0%

Counts

1 900 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
▶	99.9%	(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
	81.9%	(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))) x)
▶	66.4%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	67.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	40.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	65.3%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
✓	38.3%	(+.f64 z x)
	49.5%	(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	81.8%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z) (+.f64 #s(literal 1 binary64) (/.f64 x z))))
	78.7%	(.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 z y) (.f64 #s(literal 3 binary64) (/.f64 x y)))))
▶	32.8%	(*.f64 x #s(literal 3 binary64))
	35.7%	(*.f64 #s(literal 2 binary64) y)
✓	33.4%	z
▶	7.6%	x

Compiler

Compiled 318 to 211 computations (33.6% saved)

simplify7.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (+.f64 y x))
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 x z)
✓	cost-diff	0	(+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))

Rules

104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
50×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	30	64
2	50	64
3	81	64
4	90	64
0	90	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ x z) (* 2 y)) (* 2 x))
(+ (+ x z) (* 2 y))
(+ x z)
x
z
(* 2 y)
2
y
(* 2 x)
x
(* x 3)
x
3
(+ (* 2 y) x)
(* 2 y)
2
y
x
(+ (* 2 (+ y x)) x)
(* 2 (+ y x))
2
(+ y x)
y
x

Outputs
(+ (+ (+ x z) (* 2 y)) (* 2 x))
(+.f64 z (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))
(+ (+ x z) (* 2 y))
(+.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) y)))
(+ x z)
(+.f64 x z)
x
z
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (* 2 y) x)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
x
(+ (* 2 (+ y x)) x)
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(* 2 (+ y x))
(*.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ y x)
(+.f64 x y)
y
x

localize51.0ms (0.5%)

Memory

24.4MiB live, 99.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 y x))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) y))
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))

Samples

24.0ms	228×	0	valid
3.0ms	14×	1	valid
3.0ms	7×	3	valid
2.0ms	6×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (45.8% of total)

ival-add: 8.0ms (45.8% of total)

adjust: 1.0ms (5.7% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

-24.9MiB live, 13.5MiB allocated

Counts

10 → 228

Calls

Call 1

Inputs
#<alt (+ (+ (+ x z) (* 2 y)) (* 2 x))>
#<alt (+ (+ x z) (* 2 y))>
#<alt (+ x z)>
#<alt (* 2 y)>
#<alt (* x 3)>
#<alt (+ (* 2 y) x)>
#<alt (+ (* 2 (+ y x)) x)>
#<alt (* 2 (+ y x))>
#<alt (+ y x)>
#<alt (* 2 x)>

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

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 3)
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	0	(* x 3)
0.0ms	x	@	inf	(+ (+ (+ x z) (* 2 y)) (* 2 x))
0.0ms	x	@	inf	(* 2 x)

rewrite428.0ms (4.4%)

Memory

11.6MiB live, 950.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 348×	`accelerator-lowering-fma.f32`
7 348×	`accelerator-lowering-fma.f64`
4 466×	`-lowering-.f32`
4 466×	`-lowering-.f64`
3 808×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	94	48
2	900	48
0	8293	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 457

Calls

Call 1

Inputs
(+ (+ (+ x z) (* 2 y)) (* 2 x))
(+ (+ x z) (* 2 y))
(+ x z)
(* 2 y)
(* x 3)
(+ (* 2 y) x)
(+ (* 2 (+ y x)) x)
(* 2 (+ y x))
(+ y x)
(* 2 x)

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

simplify347.0ms (3.6%)

Memory

-35.2MiB live, 533.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 548×	`accelerator-lowering-fma.f32`
8 548×	`accelerator-lowering-fma.f64`
2 584×	`-lowering-.f32`
2 584×	`-lowering-.f64`
1 666×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1070
1	426	1068
2	1109	1068
3	3313	1068
4	6683	1068
0	8039	946

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval84.0ms (0.9%)

Memory: 9.9MiB live, 199.6MiB allocated
Compiler: Compiled 17 209 to 1 513 computations (91.2% saved)

prune76.0ms (0.8%)

Memory

15.4MiB live, 211.4MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	699	0	699
Fresh	0	7	7
Picked	0	5	5
Done	0	4	4
Total	699	16	715

Accuracy

100.0%

Counts

715 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	99.9%	(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
▶	81.9%	(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))) x)
✓	66.4%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	67.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	40.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	65.3%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
✓	38.3%	(+.f64 z x)
	49.5%	(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	81.8%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z) (+.f64 #s(literal 1 binary64) (/.f64 x z))))
▶	78.7%	(.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 z y) (.f64 #s(literal 3 binary64) (/.f64 x y)))))
✓	32.8%	(*.f64 x #s(literal 3 binary64))
▶	35.7%	(*.f64 #s(literal 2 binary64) y)
✓	33.4%	z
✓	7.6%	x

Compiler

Compiled 276 to 181 computations (34.4% saved)

simplify363.0ms (3.7%)

Memory

5.4MiB live, 521.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

11 436×	`accelerator-lowering-fma.f32`
11 436×	`accelerator-lowering-fma.f64`
4 158×	`+-lowering-+.f64`
4 158×	`+-lowering-+.f32`
4 036×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	127
1	61	127
2	110	127
3	251	115
4	453	115
5	913	115
6	2810	115
7	5481	115
8	7098	115
0	8273	105

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* z (+ 1 (/ (* 2 (+ x y)) z))) x)
(* z (+ 1 (/ (* 2 (+ x y)) z)))
z
(+ 1 (/ (* 2 (+ x y)) z))
1
(/ (* 2 (+ x y)) z)
(* 2 (+ x y))
2
(+ x y)
x
y
(* 2 y)
2
y
(+ z (* x 3))
z
(* x 3)
x
3
(/ 1 (/ 1/3 x))
1
(/ 1/3 x)
1/3
x
(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
y
(+ 2 (+ (/ z y) (* 3 (/ x y))))
2
(+ (/ z y) (* 3 (/ x y)))
(/ z y)
z
(* 3 (/ x y))
3
(/ x y)
x

Outputs
(+ (* z (+ 1 (/ (* 2 (+ x y)) z))) x)
(+.f64 z (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(* z (+ 1 (/ (* 2 (+ x y)) z)))
(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))
z
(+ 1 (/ (* 2 (+ x y)) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))
1
#s(literal 1 binary64)
(/ (* 2 (+ x y)) z)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)
(* 2 (+ x y))
(*.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(+ z (* x 3))
(+.f64 z (/.f64 x #s(literal 1/3 binary64)))
z
(* x 3)
(/.f64 x #s(literal 1/3 binary64))
x
3
#s(literal 3 binary64)
(/ 1 (/ 1/3 x))
(/.f64 x #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
(+.f64 z (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
y
(+ 2 (+ (/ z y) (* 3 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z (/.f64 x #s(literal 1/3 binary64)))))
2
#s(literal 2 binary64)
(+ (/ z y) (* 3 (/ x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z (/.f64 x #s(literal 1/3 binary64))))
(/ z y)
(/.f64 z y)
z
(* 3 (/ x y))
(/.f64 x (*.f64 y #s(literal 1/3 binary64)))
3
#s(literal 3 binary64)
(/ x y)
(/.f64 x y)
x

localize143.0ms (1.5%)

Memory

-14.7MiB live, 201.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 z y) (*.f64 #s(literal 3 binary64) (/.f64 x y))))
✓	accuracy	99.8%	(*.f64 #s(literal 3 binary64) (/.f64 x y))
✓	accuracy	98.9%	(+.f64 (/.f64 z y) (*.f64 #s(literal 3 binary64) (/.f64 x y)))
✓	accuracy	86.1%	(.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 z y) (.f64 #s(literal 3 binary64) (/.f64 x y)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)
✓	accuracy	87.1%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)))

Samples

62.0ms	68×	5	exit
32.0ms	188×	0	valid

Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 19.0ms (28.7% of total)

ival-div: 14.0ms (21.1% of total)

...in/eval/compile.rkt:111:19: 13.0ms (19.6% of total)

ival-add: 11.0ms (16.6% of total)

adjust: 9.0ms (13.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

3.0MiB live, 39.8MiB allocated

Counts

15 → 396

Calls

Call 1

Inputs
#<alt (* z (+ 1 (/ (* 2 (+ x y)) z)))>
#<alt (+ (* z (+ 1 (/ (* 2 (+ x y)) z))) x)>
#<alt (+ 1 (/ (* 2 (+ x y)) z))>
#<alt (/ (* 2 (+ x y)) z)>
#<alt (* 2 y)>
#<alt (+ z (* x 3))>
#<alt (* x 3)>
#<alt (/ 1 (/ 1/3 x))>
#<alt (/ 1/3 x)>
#<alt (* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))>
#<alt (+ 2 (+ (/ z y) (* 3 (/ x y))))>
#<alt (+ (/ z y) (* 3 (/ x y)))>
#<alt (/ z y)>
#<alt (* 2 (+ x y))>
#<alt (* 3 (/ x y))>

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

Calls

99 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
2.0ms	z	@	-inf	(+ 1 (/ (* 2 (+ x y)) z))
1.0ms	z	@	0	(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
1.0ms	y	@	0	(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
1.0ms	y	@	inf	(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))

rewrite647.0ms (6.7%)

Memory

-3.5MiB live, 749.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 060×	`-lowering-.f32`
5 060×	`-lowering-.f64`
4 806×	`accelerator-lowering-fma.f32`
4 806×	`accelerator-lowering-fma.f64`
4 732×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	103
1	167	103
2	1478	99
0	8795	92

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 585

Calls

Call 1

Inputs
(* z (+ 1 (/ (* 2 (+ x y)) z)))
(+ (* z (+ 1 (/ (* 2 (+ x y)) z))) x)
(+ 1 (/ (* 2 (+ x y)) z))
(/ (* 2 (+ x y)) z)
(* 2 y)
(+ z (* x 3))
(* x 3)
(/ 1 (/ 1/3 x))
(/ 1/3 x)
(* y (+ 2 (+ (/ z y) (* 3 (/ x y)))))
(+ 2 (+ (/ z y) (* 3 (/ x y))))
(+ (/ z y) (* 3 (/ x y)))
(/ z y)
(* 2 (+ x y))
(* 3 (/ x y))

Outputs
(+.f64 z (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) z)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64))) (-.f64 z (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))))
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z) z)
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 x y) z) z) z)
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64) z)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z) z z)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z) (/.f64 z #s(literal 1 binary64)) z)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y)))) z)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z) z)
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 x y) z) z)
(fma.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 1 binary64) z) z)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 z z) z)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x y) z) #s(literal -2 binary64)) z)
(fma.f64 (/.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 z z) z)
(fma.f64 (/.f64 z z) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) z)
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(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y))) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (.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 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 2 binary64)) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 2 binary64))) (neg.f64 (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal 2 binary64) (+.f64 x y))
(*.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(literal 3 binary64) (/.f64 y x))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (/.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (neg.f64 (/.f64 x #s(literal 1/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (/.f64 x y))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y))

simplify522.0ms (5.4%)

Memory

16.6MiB live, 405.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 588×	`accelerator-lowering-fma.f32`
10 588×	`accelerator-lowering-fma.f64`
4 414×	`-lowering-.f32`
4 414×	`-lowering-.f64`
1 234×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2704
1	682	2704
2	1894	2638
3	5664	2448
0	8226	2196

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval176.0ms (1.8%)

Memory: -9.0MiB live, 188.3MiB allocated
Compiler: Compiled 18 492 to 2 388 computations (87.1% saved)

prune128.0ms (1.3%)

Memory

24.1MiB live, 186.1MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	978	3	981
Fresh	2	0	2
Picked	2	3	5
Done	0	9	9
Total	982	15	997

Accuracy

100.0%

Counts

997 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.f64 x #s(literal 1/3 binary64))
	32.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
✓	32.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	99.9%	(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
	56.0%	(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) z))) x)
✓	66.4%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	67.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	40.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	65.3%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
✓	38.3%	(+.f64 z x)
✓	32.8%	(*.f64 x #s(literal 3 binary64))
✓	35.7%	(*.f64 #s(literal 2 binary64) y)
✓	33.4%	z
✓	7.6%	x

Compiler

Compiled 408 to 178 computations (56.4% saved)

regimes33.0ms (0.3%)

Memory

11.1MiB live, 50.2MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) z))) x)
(+.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) (+.f64 (+.f64 x z) x))
(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 z y) (.f64 #s(literal 3 binary64) (/.f64 x y)))))
(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z) (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 (+.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1 binary64))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) z) x)
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x z) (+.f64 x z))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z)))
(/.f64 (+.f64 (.f64 (+.f64 x z) (.f64 (+.f64 x z) (+.f64 x z))) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 (.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) (+.f64 x y))))))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

Outputs
(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
7.0ms	z
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes32.0ms (0.3%)

Memory

-13.3MiB live, 25.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
(+.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) z))) x)
(+.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) (+.f64 (+.f64 x z) x))

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

Calls

3 calls:

21.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.5%)

Memory

-6.4MiB live, 31.9MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)

Outputs
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) z)

Calls

3 calls:

35.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
89.6%	3	`x`
89.8%	3	`y`
87.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)

Outputs
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
74.3%	5	`z`
65.3%	1	`x`
85.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-30.4MiB live, 7.5MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))
(+.f64 z (*.f64 x #s(literal 3 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) y)
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) y)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
(/.f64 x #s(literal 1/3 binary64))

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

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
61.2%	5	`x`
61.2%	5	`z`
60.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 5

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))

Outputs
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.2%	5	`x`
59.5%	5	`z`
59.2%	4	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-33.0MiB live, 8.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.5%	3	`y`
41.8%	4	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
33.4%	1	`x`
33.4%	1	`z`
33.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`y`
7.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.4%)

Memory

-6.0MiB live, 32.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.922619690403752e+76	2.3726789498391433e+78
10.0ms	-4.108414479063617e+57	-6.46343203045681e+52

Samples

10.0ms	226×	0	valid
1.0ms	13×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 287 to 224 computations (22% saved)

Precisions

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

ival-add: 5.0ms (89.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch43.0ms (0.4%)

Memory

0.7MiB live, 39.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.922619690403752e+76	2.3726789498391433e+78
10.0ms	-4.108414479063617e+57	-6.46343203045681e+52

Samples

32.0ms	227×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 287 to 224 computations (22% saved)

Precisions

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

ival-add: 28.0ms (99.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch56.0ms (0.6%)

Memory

-7.5MiB live, 31.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	2.922619690403752e+76	2.3726789498391433e+78
6.0ms	-2.2107370860627894e+76	-6.393914221306239e+75

Samples

47.0ms	177×	0	valid
1.0ms	11×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 209 to 170 computations (18.7% saved)

Precisions

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

ival-add: 4.0ms (83.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch39.0ms (0.4%)

Memory

-22.4MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.922619690403752e+76	2.3726789498391433e+78
10.0ms	-4.108414479063617e+57	-6.46343203045681e+52

Samples

10.0ms	231×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 227 to 179 computations (21.1% saved)

Precisions

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

ival-add: 5.0ms (89.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch55.0ms (0.6%)

Memory

29.7MiB live, 67.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	4.507510314908799e+47	7.637336870927707e+51
22.0ms	1.9962916233436354e-200	3.127965476635459e-199
9.0ms	-1.043221508249861e-183	-1.2365296145057492e-186
9.0ms	-1.9314218630054867e+77	-6.610601134916464e+75

Samples

19.0ms	442×	0	valid
1.0ms	9×	2	valid
1.0ms	12×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 395 to 334 computations (15.4% saved)

Precisions

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

ival-add: 10.0ms (91% of total)

adjust: 1.0ms (9.1% of total)

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

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

bsearch36.0ms (0.4%)

Memory

3.5MiB live, 41.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.510063152052729e+75	2.922619690403752e+76
27.0ms	-4.108414479063617e+57	-6.46343203045681e+52

Samples

26.0ms	211×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 185 to 154 computations (16.8% saved)

Precisions

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

ival-add: 5.0ms (90.6% of total)

adjust: 0.0ms (0% of total)

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

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

simplify12.0ms (0.1%)

Memory

-15.5MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	134
1	89	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
(if (<=.f64 y #s(literal -28000000000000000831033663644940973731051658669738426368 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (if (<=.f64 y #s(literal 29999999999999998197927946359183536590754619541274687248430141039109077991424 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) y) z)))
(if (<=.f64 y #s(literal -240000000000000013345451826368083106739292753064376664064 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) x) (if (<=.f64 y #s(literal 2200000000000000142098808953207799709150202525918561228674187948464642944139264 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) y) x)))
(if (<=.f64 y #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 700000000000000026514341970097867610241323729186013743410697692311706125991936 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 40999999999999998394201816962345646963077762621695460584696122770938585415680 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 x #s(literal -10200000000000000737123458939674233896104728210609979783116762730843068170240 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -6491020386620979/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 312409991464761/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048 binary64)) z (if (<=.f64 x #s(literal 1059999999999999997798810579016760178438687424512 binary64)) (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 12999999999999999647618921891376939333850226425529058480240526125692023209984 binary64)) z (.f64 #s(literal 2 binary64) y)))
z
x

Outputs
(+.f64 (+.f64 (+.f64 x z) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (+.f64 x z)) (.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
(+.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(if (<=.f64 y #s(literal -28000000000000000831033663644940973731051658669738426368 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (if (<=.f64 y #s(literal 29999999999999998197927946359183536590754619541274687248430141039109077991424 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) y) z)))
(if (<=.f64 y #s(literal -28000000000000000831033663644940973731051658669738426368 binary64)) (+.f64 z (.f64 #s(literal 2 binary64) y)) (if (<=.f64 y #s(literal 29999999999999998197927946359183536590754619541274687248430141039109077991424 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 z (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 y #s(literal -240000000000000013345451826368083106739292753064376664064 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) x) (if (<=.f64 y #s(literal 2200000000000000142098808953207799709150202525918561228674187948464642944139264 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) y) x)))
(if (<=.f64 y #s(literal -240000000000000013345451826368083106739292753064376664064 binary64)) (+.f64 x (.f64 #s(literal 2 binary64) y)) (if (<=.f64 y #s(literal 2200000000000000142098808953207799709150202525918561228674187948464642944139264 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 y #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 700000000000000026514341970097867610241323729186013743410697692311706125991936 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 40999999999999998394201816962345646963077762621695460584696122770938585415680 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 40999999999999998394201816962345646963077762621695460584696122770938585415680 binary64)) (+.f64 x z) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 x #s(literal -10200000000000000737123458939674233896104728210609979783116762730843068170240 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -6491020386620979/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 312409991464761/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048 binary64)) z (if (<=.f64 x #s(literal 1059999999999999997798810579016760178438687424512 binary64)) (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 12999999999999999647618921891376939333850226425529058480240526125692023209984 binary64)) z (.f64 #s(literal 2 binary64) y)))
z
x

soundness1.1s (11.7%)

Memory

-6.3MiB live, 570.3MiB allocated

Rules

14 356×	`accelerator-lowering-fma.f32`
14 356×	`accelerator-lowering-fma.f64`
10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
7 252×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	141	69
2	1299	69
0	8173	63
0	113	764
1	343	762
2	900	762
3	2776	762
4	6698	762
0	8240	658
0	335	3034
1	980	2987
2	2703	2840
0	8890	2515

Stop Event

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

Compiler

Compiled 287 to 160 computations (44.3% saved)

preprocess303.0ms (3.1%)

Memory: 13.5MiB live, 130.6MiB allocated
Compiler: Compiled 330 to 136 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample694.0ms (7.1%)

preprocess296.0ms (3%)

explain191.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize29.0ms (0.3%)

series5.0ms (0.1%)

rewrite456.0ms (4.7%)

simplify313.0ms (3.2%)

eval117.0ms (1.2%)

prune101.0ms (1%)

simplify14.0ms (0.1%)

localize108.0ms (1.1%)

series14.0ms (0.1%)

rewrite663.0ms (6.8%)

simplify731.0ms (7.5%)

eval678.0ms (7%)

prune385.0ms (4%)

simplify7.0ms (0.1%)

localize51.0ms (0.5%)

series7.0ms (0.1%)

rewrite428.0ms (4.4%)

simplify347.0ms (3.6%)

eval84.0ms (0.9%)

prune76.0ms (0.8%)

simplify363.0ms (3.7%)

localize143.0ms (1.5%)

series29.0ms (0.3%)

rewrite647.0ms (6.7%)

simplify522.0ms (5.4%)

eval176.0ms (1.8%)

prune128.0ms (1.3%)

regimes33.0ms (0.3%)

regimes32.0ms (0.3%)

regimes44.0ms (0.5%)

regimes10.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes21.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch37.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch56.0ms (0.6%)

bsearch39.0ms (0.4%)

bsearch55.0ms (0.6%)

bsearch36.0ms (0.4%)

simplify12.0ms (0.1%)

soundness1.1s (11.7%)

preprocess303.0ms (3.1%)

end0.0ms (0%)

Profiling