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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.5s (19.7%)

Memory

7.5MiB live, 1 126.1MiB allocated

Samples

1.3s	7 654×	0	valid
36.0ms	361×	1	valid
27.0ms	179×	2	valid
13.0ms	62×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 861.0ms

ival-add: 827.0ms (96.1% of total)

adjust: 24.0ms (2.8% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

preprocess341.0ms (4.4%)

Memory

-6.7MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 046×	`unsub-neg`
1 306×	`distribute-neg-in`
1 088×	`associate-+r+`
876×	`sub-neg`
792×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	139	83
2	547	81
3	2356	81
4	4279	81
5	5574	81
6	5954	81
7	6069	81
8	6080	81
9	6080	81
10	6693	81
11	6916	81
12	6934	81
13	6934	81
14	6944	81
15	6954	81
16	6954	81
17	6958	81
18	7718	81
19	7718	81
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 y (+.f64 y (fma.f64 x #s(literal 3 binary64) z)))

explain126.0ms (1.6%)

Memory

22.5MiB live, 258.5MiB 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

26.0ms	478×	0	valid
3.0ms	24×	1	valid
1.0ms	8×	2	valid
0.0ms	2×	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 (85.6% of total)

adjust: 1.0ms (7.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify30.0ms (0.4%)

Memory

-27.2MiB live, 11.2MiB 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 (+.f64 x y) y) x) z) x)
✓	cost-diff	64	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)

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

localize33.0ms (0.4%)

Memory

-12.3MiB live, 30.3MiB 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	99.9%	(+.f64 (+.f64 x y) y)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Samples

12.0ms	239×	0	valid
1.0ms	12×	1	valid
1.0ms	4×	2	valid
0.0ms	1×	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 (87.3% of total)

adjust: 1.0ms (14.5% of total)

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

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

series6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#<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 (+ (* 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 (* 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
1.0ms	x	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)

rewrite353.0ms (4.5%)

Memory

28.5MiB live, 615.6MiB 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) z)
(+ (+ (+ x y) y) x)
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ x y) y)
(+ x y)

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

simplify274.0ms (3.5%)

Memory

6.7MiB live, 448.2MiB 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	2801	762
4	6719	762
0	8258	658

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval87.0ms (1.1%)

Memory: 18.9MiB live, 169.0MiB allocated
Compiler: Compiled 26 198 to 2 462 computations (90.6% saved)

prune142.0ms (1.8%)

Memory

-23.9MiB live, 175.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	726	11	737
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	727	11	738

Accuracy

100.0%

Counts

738 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.1%	(fma.f64 x #s(literal 3 binary64) z)
	69.8%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶	65.2%	(fma.f64 #s(literal 2 binary64) y z)
	29.3%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))) (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
	70.2%	(+.f64 (fma.f64 #s(literal 2 binary64) y z) x)
▶	40.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	99.9%	(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
	37.3%	(+.f64 z x)
	36.7%	(*.f64 x #s(literal 3 binary64))
▶	35.2%	(*.f64 #s(literal 2 binary64) y)
▶	32.0%	z

Compiler

Compiled 250 to 130 computations (48% saved)

simplify6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	25	48
2	44	48
3	78	48
4	92	48
0	92	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.6%)

Memory

-33.4MiB live, 79.5MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

21.0ms	231×	0	valid
5.0ms	20×	2	valid
2.0ms	5×	4	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 10.0ms (65.2% of total)

ival-mult: 4.0ms (26.1% of total)

adjust: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

6 → 144

Calls

Call 1

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

Outputs
#<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 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 (* 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 (+ 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 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)))>
#<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>
#<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 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)))>

Calls

36 calls:

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

rewrite357.0ms (4.6%)

Memory

-20.3MiB live, 447.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 346×	`accelerator-lowering-fma.f32`
5 346×	`accelerator-lowering-fma.f64`
5 168×	`-lowering-.f32`
5 168×	`-lowering-.f64`
4 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	78	32
2	725	32
0	8211	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 297

Calls

Call 1

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

Outputs
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 z x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(+.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) x (+.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) x)
(+.f64 (/.f64 (.f64 z z) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))))
(+.f64 (+.f64 z (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (+.f64 z x) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (+.f64 z (.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 x (+.f64 z (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 (+.f64 z x) (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (+.f64 z x) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x))) z))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z))) (/.f64 (.f64 z z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 z x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 z x))))
(-.f64 (+.f64 z (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(fma.f64 #s(literal 2 binary64) x (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 2 binary64) x (+.f64 x z)))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(fma.f64 x #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (+.f64 x z)))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) (+.f64 z x))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) (+.f64 x z))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 (+.f64 x y) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) z)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x))))) z)
(fma.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (neg.f64 x))) z)
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (.f64 (+.f64 x y) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))) z)
(fma.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (neg.f64 (neg.f64 x)))) z)
(fma.f64 (fma.f64 z (.f64 z z) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))) x)
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) x))))) (+.f64 z x))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) x))))) (+.f64 x z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(fma.f64 (fma.f64 z z (.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (+.f64 x y) #s(literal -2 binary64)))) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x y))) (+.f64 z x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x y))) (+.f64 x z))
(fma.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 x y) #s(literal -2 binary64)))) z)
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 z x))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 x z))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 z x))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x z))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 z x))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 x z))
(fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 z x))
(fma.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x z))
(neg.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))) (neg.f64 (fma.f64 z z (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z)))))))
(neg.f64 (/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (+.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))) (fma.f64 z z (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z))))))
(neg.f64 (/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (+.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))) (fma.f64 z z (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z)))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 z (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))) (neg.f64 (fma.f64 z z (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 x z))))))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 z (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (+.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) (+.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 z z))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) z))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 #s(literal 2 binary64) y)) (fma.f64 z z (.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 z z (.f64 #s(literal -4 binary64) (.f64 y y))) (-.f64 z (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 z z))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) z) (-.f64 (.f64 #s(literal 2 binary64) y) z)))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64) (neg.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (.f64 (.f64 z z) (fma.f64 z z (.f64 (.f64 y y) #s(literal 4 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) y) z)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 2 binary64) y) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 (*.f64 y y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) z))))
(/.f64 (neg.f64 (fma.f64 z z (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (fma.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z))) (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)))) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)) #s(literal -1 binary64))
(.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) z)))))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y y) #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z))
(.f64 (fma.f64 z z (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 #s(literal 2 binary64) y))))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) y) x))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (+.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y y) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)))) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y y) #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) x)))))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (.f64 y y) #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -2 binary64)))))

simplify337.0ms (4.3%)

Memory

-0.7MiB live, 323.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 004×	`accelerator-lowering-fma.f32`
10 004×	`accelerator-lowering-fma.f64`
2 596×	`-lowering-.f32`
2 596×	`-lowering-.f64`
1 780×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	720
1	328	718
2	834	718
3	2541	718
4	6438	718
0	8107	607

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(+ 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 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)))
(* 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)))
(+ 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)))
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)))
(* 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
(+ 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)))
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)))

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

eval81.0ms (1%)

Memory: 22.2MiB live, 97.0MiB allocated
Compiler: Compiled 9 101 to 956 computations (89.5% saved)

prune93.0ms (1.2%)

Memory

14.2MiB live, 94.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	452	3	455
Fresh	1	5	6
Picked	1	4	5
Done	0	0	0
Total	454	12	466

Accuracy

100.0%

Counts

466 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(fma.f64 y #s(literal 2 binary64) x)
	66.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	100.0%	(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
▶	69.8%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	65.2%	(fma.f64 #s(literal 2 binary64) y z)
	70.2%	(+.f64 (fma.f64 #s(literal 2 binary64) y z) x)
✓	99.9%	(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
	37.3%	(+.f64 z x)
▶	36.7%	(*.f64 x #s(literal 3 binary64))
✓	35.2%	(*.f64 #s(literal 2 binary64) y)
✓	32.0%	z
▶	8.2%	x

Compiler

Compiled 144 to 102 computations (29.2% saved)

simplify21.0ms (0.3%)

Memory

-28.6MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	30	46
2	45	46
3	53	46
4	83	46
5	102	46
0	102	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize77.0ms (1%)

Memory

-4.6MiB live, 75.7MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

34.0ms	235×	0	valid
2.0ms	10×	1	valid
2.0ms	6×	2	valid
2.0ms	4×	3	valid
0.0ms	1×	5	exit

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.8% of total)

ival-add: 6.0ms (38.1% of total)

adjust: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

6 → 144

Calls

Call 1

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

Calls

36 calls:

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

rewrite725.0ms (9.3%)

Memory

-3.4MiB live, 434.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 852×	`accelerator-lowering-fma.f32`
8 852×	`accelerator-lowering-fma.f64`
5 658×	`-lowering-.f32`
5 658×	`-lowering-.f64`
4 042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	91	32
2	766	32
0	8439	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 296

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 3 binary64) x z))
(+.f64 (.f64 #s(literal 2 binary64) y) (+.f64 z (.f64 #s(literal 3 binary64) x)))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(+.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))))
(+.f64 (fma.f64 #s(literal 3 binary64) x z) (*.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 z (.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))))
(-.f64 (/.f64 (.f64 y (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (-.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 #s(literal 3 binary64) x)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)) (/.f64 (.f64 z z) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)))
(-.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (.f64 y (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 #s(literal 2 binary64) y) z))) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 2 binary64) y (+.f64 z (*.f64 #s(literal 3 binary64) x)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 y #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) y z))) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) y) (.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y))))) (.f64 #s(literal 3 binary64) x))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) z)))) (.f64 #s(literal 3 binary64) x))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))))) z)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)))) z)
(fma.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) y)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) z)
(fma.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (.f64 #s(literal 4 binary64) y) (.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)))))) (.f64 #s(literal 3 binary64) x))
(fma.f64 (neg.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) y)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -2 binary64) (neg.f64 (neg.f64 z)))) (.f64 #s(literal 3 binary64) x))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))))) z)
(fma.f64 (neg.f64 (-.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x))) z)
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))))) z)
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(fma.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))) z)
(fma.f64 (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) z)
(fma.f64 (fma.f64 z z (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal 3 binary64) x))
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (fma.f64 x #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) y z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (fma.f64 x #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) y z))) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (fma.f64 x #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) y z))) (fma.f64 x #s(literal -3 binary64) (fma.f64 #s(literal 2 binary64) y z)))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (.f64 z (.f64 z z))) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 z (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 z (-.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (.f64 z (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 #s(literal -9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z) (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (+.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 81 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (fma.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z) (.f64 (.f64 x x) #s(literal 9 binary64))))) (-.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) y z))))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (.f64 x (.f64 x x)))) (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)))))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (neg.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y)))) (neg.f64 (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (.f64 (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x))))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)))) (+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) x)))))
(.f64 (-.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(.f64 (neg.f64 (-.f64 (.f64 (+.f64 x y) (.f64 #s(literal 4 binary64) (+.f64 x y))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) (.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))))
(.f64 (fma.f64 x (.f64 #s(literal 9 binary64) x) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64)))))
(+.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 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x y) (.f64 y y))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.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 y) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x 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 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 y y (.f64 x (+.f64 x y))) (-.f64 y x))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 x y))) (-.f64 y x)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 y y (.f64 x (+.f64 x y))) (-.f64 y x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) y (.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)))) (-.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x 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))) (fma.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x)) (fma.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 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

simplify309.0ms (4%)

Memory

16.7MiB live, 422.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 668×	`accelerator-lowering-fma.f32`
10 668×	`accelerator-lowering-fma.f64`
2 798×	`-lowering-.f32`
2 798×	`-lowering-.f64`
1 864×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	718
1	310	718
2	818	718
3	2648	718
4	6009	718
0	8110	607

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

eval52.0ms (0.7%)

Memory: -5.1MiB live, 111.2MiB allocated
Compiler: Compiled 8 835 to 897 computations (89.8% saved)

prune45.0ms (0.6%)

Memory

9.8MiB live, 125.0MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	439	1	440
Fresh	0	3	3
Picked	1	4	5
Done	0	4	4
Total	440	12	452

Accuracy

100.0%

Counts

452 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.4%	(fma.f64 y #s(literal 2 binary64) x)
▶	69.9%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
▶	66.1%	(fma.f64 x #s(literal 3 binary64) z)
✓	69.8%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	65.2%	(fma.f64 #s(literal 2 binary64) y z)
▶	70.2%	(+.f64 (fma.f64 #s(literal 2 binary64) y z) x)
✓	99.9%	(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
▶	37.3%	(+.f64 z x)
✓	36.7%	(*.f64 x #s(literal 3 binary64))
✓	35.2%	(*.f64 #s(literal 2 binary64) y)
✓	32.0%	z
✓	8.2%	x

Compiler

Compiled 85 to 61 computations (28.2% saved)

simplify5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
12×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	20	43
2	26	43
3	27	43
0	27	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

-28.9MiB live, 93.2MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

20.0ms	230×	0	valid
2.0ms	11×	1	valid
1.0ms	5×	3	valid
1.0ms	6×	2	valid
1.0ms	2×	4	valid
1.0ms	2×	5	exit

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

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

ival-add: 8.0ms (60.4% of total)

ival-mult: 3.0ms (22.7% of total)

adjust: 1.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite358.0ms (4.6%)

Memory

0.5MiB live, 793.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 686×	`accelerator-lowering-fma.f32`
9 686×	`accelerator-lowering-fma.f64`
6 066×	`-lowering-.f32`
6 066×	`-lowering-.f64`
4 132×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	70	30
2	648	30
0	8399	26

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 294

Calls

Call 1

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

Outputs
(+.f64 z x)
(+.f64 x z)
(+.f64 (/.f64 (.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 z x))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x z)) (/.f64 (.f64 z z) (-.f64 x z)))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 z x))))
(neg.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 z z (.f64 x (-.f64 x z))))))
(neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 (-.f64 z x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (fma.f64 z z (.f64 x (-.f64 x z)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x)))
(/.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (fma.f64 z z (.f64 x (-.f64 x z))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 z (-.f64 z x))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 z z (.f64 x (-.f64 x z)))))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (.f64 z (-.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 z (-.f64 z x))) (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 x z))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z x)) (.f64 (-.f64 z x) (.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (*.f64 z z)))) (-.f64 z x)))
(/.f64 (.f64 (.f64 (fma.f64 z z (.f64 x x)) (.f64 (+.f64 z x) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (.f64 x x)) (-.f64 z x)))
(/.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1 binary64)) (-.f64 z x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 z z (.f64 x (-.f64 x z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)) (.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 z z) (-.f64 z x))) (.f64 (/.f64 (.f64 x x) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))) (+.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x))))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x (-.f64 x z))))) (fma.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x (-.f64 x z))))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x)))
(/.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (fma.f64 z z (.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 x x) (fma.f64 x x (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 z z (.f64 x x)) (.f64 (+.f64 z x) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (fma.f64 z z (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64))
(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(.f64 (fma.f64 z z (.f64 x (-.f64 x z))) (.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x (-.f64 x z))))))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (*.f64 x (-.f64 x z))))))
(.f64 (neg.f64 (.f64 (+.f64 z x) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x))))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(+.f64 z (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 z (fma.f64 #s(literal 2 binary64) y x))
(+.f64 x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 z x) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 z x))
(+.f64 (fma.f64 #s(literal 2 binary64) y z) x)
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) z)
(+.f64 (fma.f64 #s(literal 2 binary64) y x) z)
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (-.f64 (/.f64 (.f64 x x) (-.f64 z x)) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) z)) (-.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (fma.f64 #s(literal 2 binary64) y z))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 x (fma.f64 #s(literal 2 binary64) y z))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) z)) (/.f64 (.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) z)))
(-.f64 (+.f64 x (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) z))) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(-.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (.f64 z z) (-.f64 z x))) (/.f64 (.f64 x x) (-.f64 z x)))
(fma.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (+.f64 z x))
(fma.f64 y #s(literal 2 binary64) (+.f64 z x))
(fma.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z))) x)
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x (-.f64 x z)))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 z (-.f64 z x)))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fma.f64 z z (.f64 x (-.f64 x z))) (.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 x (-.f64 x z))))) (.f64 #s(literal 2 binary64) y))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64))))) x)
(fma.f64 (fma.f64 z (.f64 z z) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))) x)
(fma.f64 (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) y z) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64)))))) x)
(fma.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) z)) x)
(fma.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 x (-.f64 x z))))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (.f64 (+.f64 z x) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x))) (.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (.f64 #s(literal 2 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64)))))) x)
(fma.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (neg.f64 (.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -2 binary64) (neg.f64 (neg.f64 z)))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 z x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z) x)
(fma.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (fma.f64 z z (.f64 (.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) y))) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y z)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))))
(neg.f64 (/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (fma.f64 y #s(literal -2 binary64) (neg.f64 (-.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))) (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y z)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))) (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y z)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y z)) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))) (neg.f64 (fma.f64 x x (.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))) (fma.f64 y #s(literal -2 binary64) (neg.f64 (-.f64 z x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (.f64 (+.f64 z x) (.f64 (+.f64 z x) (+.f64 z x)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (fma.f64 #s(literal 2 binary64) y z) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x))) (fma.f64 x (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) y z) (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 (+.f64 z x) (-.f64 (+.f64 z x) (.f64 #s(literal 2 binary64) y)))) (fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (.f64 (+.f64 z x) (*.f64 (+.f64 z x) (+.f64 z x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 #s(literal 2 binary64) y z)) (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 x (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) z) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (+.f64 z x) (+.f64 z x)))))
(/.f64 (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 x (fma.f64 #s(literal 2 binary64) y z))) (-.f64 x (fma.f64 #s(literal 2 binary64) y z)))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (+.f64 z x) (+.f64 z x))) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 2 binary64) y x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y z) (fma.f64 #s(literal 2 binary64) y z)) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)) (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) x) (.f64 x x))) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) x) (-.f64 (fma.f64 #s(literal 2 binary64) y z) x)))
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(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 3 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64)))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 6 binary64) y)))))
(/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 6 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64)))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)))))
(/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))) (fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))))) (neg.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 y #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))
(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal 2 binary64) y)) (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal -2 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y))))))
(.f64 (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal -2 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) (neg.f64 (*.f64 y #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal 2 binary64) y)))
(.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

simplify251.0ms (3.2%)

Memory

8.9MiB live, 383.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 918×	`accelerator-lowering-fma.f32`
6 918×	`accelerator-lowering-fma.f64`
2 650×	`-lowering-.f32`
2 650×	`-lowering-.f64`
1 432×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	656
1	290	656
2	719	656
3	2021	656
4	4600	656
5	6395	656
6	7921	656
0	8062	573

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval68.0ms (0.9%)

Memory: -16.8MiB live, 98.7MiB allocated
Compiler: Compiled 8 960 to 857 computations (90.4% saved)

prune48.0ms (0.6%)

Memory

14.4MiB live, 96.8MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	438	0	438
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	438	12	450

Accuracy

100.0%

Counts

450 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.4%	(fma.f64 y #s(literal 2 binary64) x)
✓	69.9%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	66.1%	(fma.f64 x #s(literal 3 binary64) z)
✓	69.8%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	65.2%	(fma.f64 #s(literal 2 binary64) y z)
✓	70.2%	(+.f64 (fma.f64 #s(literal 2 binary64) y z) x)
✓	99.9%	(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
✓	37.3%	(+.f64 z x)
✓	36.7%	(*.f64 x #s(literal 3 binary64))
✓	35.2%	(*.f64 #s(literal 2 binary64) y)
✓	32.0%	z
✓	8.2%	x

Compiler

Compiled 209 to 93 computations (55.5% saved)

regimes25.0ms (0.3%)

Memory

8.9MiB live, 46.5MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
6.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes22.0ms (0.3%)

Memory

2.0MiB live, 40.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms	z
5.0ms	y
4.0ms	x

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)

regimes21.0ms (0.3%)

Memory

-2.5MiB live, 34.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
91.5%	3	`x`
86.2%	3	`y`
93.0%	3	`z`
75.0%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.0%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-28.1MiB live, 19.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
91.5%	3	`x`
77.5%	4	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
71.8%	5	`y`
85.8%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-13.8MiB live, 23.7MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
59.0%	4	`y`
42.6%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
64.6%	7	`z`
65.9%	5	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
54.6%	3	`y`
55.8%	3	`z`
47.2%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Memory

-17.2MiB live, 20.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
z
(+.f64 z x)

Outputs
(+.f64 z x)

Calls

4 calls:

7.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Results

Accuracy	Segments	Branch
37.3%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
37.3%	1	`x`
37.3%	1	`y`
37.3%	1	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

4 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
32.0%	1	`y`
32.0%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
32.0%	1	`x`
32.0%	1	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes9.0ms (0.1%)

Memory

-16.6MiB live, 21.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

4.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
8.2%	1	`y`
8.2%	1	`x`
8.2%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
8.2%	1	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch85.0ms (1.1%)

Memory

-3.8MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	458358.4743787982	487979454744832.75
70.0ms	-3.827178294796759e+86	-3.454736964379764e+76

Samples

70.0ms	283×	0	valid
2.0ms	18×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 379 to 290 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 64.0ms (98.1% of total)

adjust: 1.0ms (1.5% of total)

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

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

bsearch32.0ms (0.4%)

Memory

-5.4MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	458358.4743787982	487979454744832.75
13.0ms	-3.827178294796759e+86	-3.454736964379764e+76

Samples

12.0ms	277×	0	valid
7.0ms	26×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 379 to 271 computations (28.5% saved)

Precisions

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

ival-add: 7.0ms (85.8% of total)

adjust: 1.0ms (12.3% of total)

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

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

bsearch28.0ms (0.4%)

Memory

1.7MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.603211744777101e+19	1.8431137354714797e+21
13.0ms	-1.740341288924928e+68	-1.7307838613386016e+56

Samples

15.0ms	255×	0	valid
1.0ms	14×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 323 to 235 computations (27.2% saved)

Precisions

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

ival-add: 10.0ms (92.9% of total)

adjust: 1.0ms (9.3% of total)

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

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

bsearch26.0ms (0.3%)

Memory

-1.4MiB live, 35.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.603211744777101e+19	1.8431137354714797e+21
11.0ms	-3.253062460536508e+40	-5.118418834732892e+36

Samples

10.0ms	217×	0	valid
2.0ms	9×	2	valid
1.0ms	14×	1	valid

Compiler

Compiled 257 to 194 computations (24.5% saved)

Precisions

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

ival-add: 6.0ms (85.6% of total)

adjust: 1.0ms (14.3% of total)

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

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

bsearch28.0ms (0.4%)

Memory

-2.0MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.8600691640968784e+79	2.0587418700698307e+92
9.0ms	-4.490618745593492e+71	-9.316042054097121e+70

Samples

11.0ms	230×	0	valid
2.0ms	15×	2	valid
1.0ms	11×	1	valid

Compiler

Compiled 257 to 206 computations (19.8% saved)

Precisions

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

ival-add: 6.0ms (77.7% of total)

adjust: 1.0ms (13% of total)

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

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

bsearch52.0ms (0.7%)

Memory

3.3MiB live, 78.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.8814689067744024e+98	3.968116854143326e+99
18.0ms	1.5955427026112125e-12	1.7688952609391417
9.0ms	-3.7564393155177395e-30	-1.2920898382472707e-31
9.0ms	-4.490618745593492e+71	-9.316042054097121e+70

Samples

26.0ms	445×	0	valid
2.0ms	20×	1	valid
2.0ms	13×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 437 to 344 computations (21.3% saved)

Precisions

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

ival-add: 11.0ms (82.1% of total)

adjust: 1.0ms (7.5% of total)

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

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

bsearch24.0ms (0.3%)

Memory

22.3MiB live, 60.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.8052699126479994e+30	7.721558317425146e+32
10.0ms	-2.7523038714057126e+103	-8.080469182971166e+99

Samples

13.0ms	242×	0	valid
1.0ms	13×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 241 to 190 computations (21.2% saved)

Precisions

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

ival-add: 6.0ms (91.8% 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

-18.4MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	166
1	84	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(if (<=.f64 z #s(literal -36999999999999999491511714385915989040023595931478890296747033983213553844224 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (if (<=.f64 z #s(literal 10500000000 binary64)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (if (<=.f64 z #s(literal 120000000000 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2500000000000000053301047523635992180753144678169912366935834624 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 750000000000000000000 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -22999999999999999368889463806016341671936 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 260000000000000000000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -344999999999999987477204800413309088745137006145475075994674010142015488 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 125000000000000005422162121827398259161286665618992413973971723667014601611210138867665469440 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -239999999999999980627651750785683829677681206707744862474631504908517376 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -6165710032489747/45671926166590716193865151022383844364247891968 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 1770887431076117/36893488147419103232 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304 binary64)) (+.f64 z x) (*.f64 x #s(literal 3 binary64))))))
(if (<=.f64 z #s(literal -13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 38000000000000001318565697290240 binary64)) (*.f64 #s(literal 2 binary64) y) (+.f64 z x)))
(+.f64 z x)
z
x

Outputs
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(if (<=.f64 z #s(literal -36999999999999999491511714385915989040023595931478890296747033983213553844224 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (if (<=.f64 z #s(literal 10500000000 binary64)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -36999999999999999491511714385915989040023595931478890296747033983213553844224 binary64)) (+.f64 x (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 z #s(literal 10500000000 binary64)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (if (<=.f64 z #s(literal 120000000000 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)) (+.f64 x (fma.f64 #s(literal 2 binary64) y z)) (if (<=.f64 z #s(literal 120000000000 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2500000000000000053301047523635992180753144678169912366935834624 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 750000000000000000000 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) y z) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2500000000000000053301047523635992180753144678169912366935834624 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 750000000000000000000 binary64)) (+.f64 x (fma.f64 #s(literal 2 binary64) y z)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -22999999999999999368889463806016341671936 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 260000000000000000000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -344999999999999987477204800413309088745137006145475075994674010142015488 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 125000000000000005422162121827398259161286665618992413973971723667014601611210138867665469440 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -344999999999999987477204800413309088745137006145475075994674010142015488 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 125000000000000005422162121827398259161286665618992413973971723667014601611210138867665469440 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -239999999999999980627651750785683829677681206707744862474631504908517376 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -6165710032489747/45671926166590716193865151022383844364247891968 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 1770887431076117/36893488147419103232 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304 binary64)) (+.f64 z x) (*.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -239999999999999980627651750785683829677681206707744862474631504908517376 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal -6165710032489747/45671926166590716193865151022383844364247891968 binary64)) (+.f64 x z) (if (<=.f64 x #s(literal 1770887431076117/36893488147419103232 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 x #s(literal 210000000000000004068107967634231191430375194901670499176310443357256934685007655929171976654946304 binary64)) (+.f64 x z) (*.f64 #s(literal 3 binary64) x)))))
(if (<=.f64 z #s(literal -13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 38000000000000001318565697290240 binary64)) (*.f64 #s(literal 2 binary64) y) (+.f64 z x)))
(if (<=.f64 z #s(literal -13999999999999999057039140201201410104027987895412049960249755149563261529951087641796286857074442240 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 38000000000000001318565697290240 binary64)) (*.f64 #s(literal 2 binary64) y) (+.f64 x z)))
(+.f64 z x)
(+.f64 x z)
z
x

soundness1.4s (17.9%)

Memory

9.2MiB live, 684.3MiB allocated

Rules

10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
10 004×	`accelerator-lowering-fma.f32`
10 004×	`accelerator-lowering-fma.f64`
8 852×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	11	32
1	78	32
2	725	32
0	8211	27
0	8	35
1	76	29
2	873	29
0	8127	26
0	15	32
1	91	32
2	766	32
0	8439	27
0	111	720
1	328	718
2	834	718
3	2541	718
4	6438	718
0	8107	607

Stop Event

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

Compiler

Compiled 365 to 196 computations (46.3% saved)

preprocess98.0ms (1.3%)

Memory: 4.3MiB live, 174.0MiB allocated
Compiler: Compiled 386 to 144 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (19.7%)

preprocess341.0ms (4.4%)

explain126.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.4%)

localize33.0ms (0.4%)

series6.0ms (0.1%)

rewrite353.0ms (4.5%)

simplify274.0ms (3.5%)

eval87.0ms (1.1%)

prune142.0ms (1.8%)

simplify6.0ms (0.1%)

localize48.0ms (0.6%)

series5.0ms (0.1%)

rewrite357.0ms (4.6%)

simplify337.0ms (4.3%)

eval81.0ms (1%)

prune93.0ms (1.2%)

simplify21.0ms (0.3%)

localize77.0ms (1%)

series4.0ms (0%)

rewrite725.0ms (9.3%)

simplify309.0ms (4%)

eval52.0ms (0.7%)

prune45.0ms (0.6%)

simplify5.0ms (0.1%)

localize39.0ms (0.5%)

series3.0ms (0%)

rewrite358.0ms (4.6%)

simplify251.0ms (3.2%)

eval68.0ms (0.9%)

prune48.0ms (0.6%)

regimes25.0ms (0.3%)

regimes22.0ms (0.3%)

regimes21.0ms (0.3%)

regimes5.0ms (0.1%)

regimes18.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch85.0ms (1.1%)

bsearch32.0ms (0.4%)

bsearch28.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch28.0ms (0.4%)

bsearch52.0ms (0.7%)

bsearch24.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.4s (17.9%)

preprocess98.0ms (1.3%)

end0.0ms (0%)

Profiling