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)

sample1.6s (23.6%)

Memory

31.7MiB live, 1 132.5MiB allocated

Samples

946.0ms	7 658×	0	valid
330.0ms	335×	1	valid
31.0ms	176×	2	valid
18.0ms	87×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-add: 429.0ms (92.7% of total)

adjust: 25.0ms (5.4% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess337.0ms (5.1%)

Memory

6.1MiB live, 43.9MiB 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)))

explain194.0ms (2.9%)

Memory

-16.6MiB live, 192.4MiB 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

54.0ms	488×	0	valid
3.0ms	16×	1	valid
1.0ms	4×	3	valid
1.0ms	4×	2	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

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

ival-add: 13.0ms (86.8% of total)

adjust: 1.0ms (6.7% 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

1.0MiB live, 1.0MiB 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)

simplify9.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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

localize57.0ms (0.9%)

Memory

-10.4MiB live, 27.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

47.0ms	244×	0	valid
1.0ms	8×	1	valid
0.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

series5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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
0.0ms	x	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	0	(+ (+ (+ (+ x y) y) x) z)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)
0.0ms	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite621.0ms (9.4%)

Memory

31.2MiB live, 417.8MiB 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)))

simplify384.0ms (5.8%)

Memory

-33.0MiB live, 304.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	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)

eval95.0ms (1.4%)

Memory: 16.2MiB live, 201.6MiB allocated
Compiler: Compiled 26 198 to 2 462 computations (90.6% saved)

prune149.0ms (2.3%)

Memory

-38.5MiB live, 224.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	729	8	737
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	730	8	738

Accuracy

100.0%

Counts

738 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	65.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶	67.6%	(fma.f64 #s(literal 2 binary64) y z)
	38.7%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	39.5%	(+.f64 z x)
	32.3%	(*.f64 x #s(literal 3 binary64))
▶	33.8%	(*.f64 #s(literal 2 binary64) y)
▶	34.7%	z

Compiler

Compiled 106 to 78 computations (26.4% saved)

simplify6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 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 x #s(literal 3 binary64) z)
✓	cost-diff	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) y z)

Rules

52×	`+-lowering-+.f64`
52×	`+-lowering-+.f32`
48×	`accelerator-lowering-fma.f32`
48×	`accelerator-lowering-fma.f64`
30×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	35
2	33	35
3	43	35
4	53	35
5	57	35
0	57	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize38.0ms (0.6%)

Memory

9.7MiB live, 87.5MiB allocated

Localize:

Found 5 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 x #s(literal 3 binary64) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) y z)

Samples

20.0ms	230×	0	valid
3.0ms	15×	2	valid
1.0ms	9×	1	valid
1.0ms	2×	4	valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-mult: 5.0ms (42.3% of total)

ival-add: 5.0ms (42.3% of total)

adjust: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

27 calls:

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

rewrite398.0ms (6%)

Memory

7.6MiB live, 640.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 236×	`accelerator-lowering-fma.f32`
8 236×	`accelerator-lowering-fma.f64`
5 372×	`-lowering-.f32`
5 372×	`-lowering-.f64`
2 994×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	68	23
2	576	23
3	6751	23
0	8304	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 300

Calls

Call 1

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

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

simplify290.0ms (4.4%)

Memory

-2.9MiB live, 468.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 288×	`accelerator-lowering-fma.f32`
10 288×	`accelerator-lowering-fma.f64`
3 730×	`-lowering-.f32`
3 730×	`-lowering-.f64`
1 434×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	444
1	235	444
2	587	444
3	1841	444
4	4053	444
5	6192	444
0	8152	390

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

eval59.0ms (0.9%)

Memory: -11.9MiB live, 109.7MiB allocated
Compiler: Compiled 9 522 to 870 computations (90.9% saved)

prune45.0ms (0.7%)

Memory

27.5MiB live, 103.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	407	9	416

Accuracy

100.0%

Counts

416 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	65.1%	(fma.f64 x #s(literal 3 binary64) z)
✓	65.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.6%	(fma.f64 #s(literal 2 binary64) y z)
▶	38.7%	(fma.f64 #s(literal 2 binary64) y x)
▶	39.5%	(+.f64 z x)
▶	32.3%	(*.f64 x #s(literal 3 binary64))
✓	33.8%	(*.f64 #s(literal 2 binary64) y)
✓	34.7%	z

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 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 #s(literal 2 binary64) y x)
✓	cost-diff	(+.f64 z x)
✓	cost-diff	(*.f64 x #s(literal 3 binary64))

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
8×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	15	32
0	15	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

-17.4MiB live, 62.4MiB allocated

Localize:

Found 5 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 #s(literal 2 binary64) y x)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))

Samples

23.0ms	243×	0	valid
1.0ms	5×	2	valid
1.0ms	5×	1	valid
0.0ms	2×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 7.0ms (46.9% of total)

ival-add: 7.0ms (46.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<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 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>
#<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 (* 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

24 calls:

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

rewrite437.0ms (6.6%)

Memory

-8.0MiB live, 482.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 840×	`accelerator-lowering-fma.f32`
7 840×	`accelerator-lowering-fma.f64`
5 530×	`-lowering-.f32`
5 530×	`-lowering-.f64`
2 466×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	47	21
2	393	21
3	4137	21
0	8308	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 275

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x)
(+.f64 x z)
(+.f64 z x)
(+.f64 (/.f64 (.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z))) #s(literal -1 binary64)))
(-.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 z (/.f64 z (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 z x))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (.f64 z z)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (neg.f64 (fma.f64 z (-.f64 z x) (.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (neg.f64 (-.f64 z x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (fma.f64 z (-.f64 z x) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z x) (.f64 x x)))
(/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z (-.f64 z x) (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))) (neg.f64 (-.f64 z x)))
(/.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 (fma.f64 z (-.f64 z x) (.f64 x x)) (fma.f64 z (.f64 (.f64 z (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))) (.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))) (.f64 (-.f64 z x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 z z)) (.f64 z (.f64 z (.f64 z z))))))
(/.f64 (.f64 (fma.f64 x x (.f64 z z)) (.f64 (+.f64 x z) (-.f64 z x))) (.f64 (-.f64 z x) (fma.f64 x x (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.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 (.f64 z z)) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (+.f64 x z) (.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))) (-.f64 z x)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z z)) (.f64 (+.f64 x z) (-.f64 z x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 z z)) (-.f64 z x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x)))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (-.f64 x z)))
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(.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 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) (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 #s(literal 2 binary64) y)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))))))) (fma.f64 (.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64)))) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64)))) (.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (-.f64 (.f64 y #s(literal 4 binary64)) (.f64 x #s(literal 6 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (.f64 y y) #s(literal -4 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (fma.f64 y #s(literal 4 binary64) (.f64 x #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (.f64 y #s(literal -2 binary64))) (-.f64 (.f64 (.f64 (.f64 x 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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.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 x (.f64 (*.f64 x x) #s(literal 27 binary64))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal -8 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 y)))

simplify252.0ms (3.8%)

Memory

19.4MiB live, 369.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 460×	`accelerator-lowering-fma.f32`
5 460×	`accelerator-lowering-fma.f64`
3 604×	`-lowering-.f32`
3 604×	`-lowering-.f64`
3 504×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	378
1	158	378
2	358	378
3	1004	378
4	2195	378
5	3322	378
6	4332	378
7	4897	378
8	5121	378
9	5168	378
10	7680	378
0	8498	342

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval71.0ms (1.1%)

Memory: -6.5MiB live, 70.2MiB allocated
Compiler: Compiled 8 395 to 827 computations (90.1% saved)

prune51.0ms (0.8%)

Memory

2.8MiB live, 78.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	370	10	380

Accuracy

100.0%

Counts

380 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	65.1%	(fma.f64 x #s(literal 3 binary64) z)
✓	65.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.6%	(fma.f64 #s(literal 2 binary64) y z)
✓	38.7%	(fma.f64 #s(literal 2 binary64) y x)
✓	39.5%	(+.f64 z x)
✓	32.3%	(*.f64 x #s(literal 3 binary64))
✓	33.8%	(*.f64 #s(literal 2 binary64) y)
✓	34.7%	z
▶	7.5%	x

Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize9.0ms (0.1%)

Memory

-25.1MiB live, 13.2MiB allocated

Samples

6.0ms

256×

valid

Compiler

Compiled 3 to 5 computations (-66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	9	9
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	65.1%	(fma.f64 x #s(literal 3 binary64) z)
✓	65.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.6%	(fma.f64 #s(literal 2 binary64) y z)
✓	38.7%	(fma.f64 #s(literal 2 binary64) y x)
✓	39.5%	(+.f64 z x)
✓	32.3%	(*.f64 x #s(literal 3 binary64))
✓	33.8%	(*.f64 #s(literal 2 binary64) y)
✓	34.7%	z
✓	7.5%	x

Compiler

Compiled 119 to 68 computations (42.9% saved)

regimes24.0ms (0.4%)

Memory

-29.7MiB live, 28.0MiB allocated

Counts

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

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	z
4.0ms	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)

regimes18.0ms (0.3%)

Memory

-0.5MiB live, 38.4MiB 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 x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(+.f64 (*.f64 #s(literal 2 binary64) y) 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
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 x #s(literal 3 binary64) z)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
90.4%	5	`x`
88.0%	3	`y`
88.3%	3	`z`
74.2%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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 x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)

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

Calls

2 calls:

4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
88.0%	3	`y`
74.6%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-22.5MiB live, 16.6MiB allocated

Counts

7 → 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 x)
(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:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
80.1%	3	`x`
67.6%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.2%)

Memory

-10.3MiB live, 27.4MiB allocated

Counts

6 → 4

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 x)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.4%	3	`y`
46.4%	4	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
63.1%	4	`z`
57.0%	4	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.5%	4	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
58.6%	3	`y`
56.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
z
(+.f64 z x)

Outputs
(+.f64 z x)

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
39.5%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
39.5%	1	`x`
39.5%	1	`z`
39.5%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes9.0ms (0.1%)

Memory

-26.7MiB live, 16.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	x

Results

Accuracy	Segments	Branch
34.7%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
34.7%	1	`x`
34.7%	1	`y`
34.7%	1	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
7.5%	1	`x`
7.5%	1	`z`
7.5%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
7.5%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch25.0ms (0.4%)

Memory

12.1MiB live, 51.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.90705305741006e+48	9.381979367235201e+50
13.0ms	-3.121136294560207e+34	-6.634600467406418e+27

Samples

12.0ms	240×	0	valid
1.0ms	14×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 305 to 222 computations (27.2% saved)

Precisions

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

ival-add: 6.0ms (88% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch16.0ms (0.2%)

Memory

-1.5MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.092592595414853e+53	3.378803475083165e+53
11.0ms	-1.5613986905277787e+141	-2.431754193588774e+137

Samples

7.0ms	157×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 177 to 134 computations (24.3% saved)

Precisions

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

ival-add: 3.0ms (79.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch32.0ms (0.5%)

Memory

-25.0MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.234679788258842e+161	1.1288726627585917e+164
15.0ms	-2.462018375031819e+189	-5.567035807339091e+182

Samples

9.0ms	207×	0	valid
3.0ms	19×	2	valid
2.0ms	22×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 257 to 206 computations (19.8% saved)

Precisions

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

ival-add: 7.0ms (71.3% of total)

adjust: 2.0ms (20.4% of total)

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

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

bsearch31.0ms (0.5%)

Memory

16.9MiB live, 54.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
3.0ms	2.7671533003172705e+23	2.9581632408897068e+23
15.0ms	-8.365864387630717e-280	-1.5227391969983786e-287
11.0ms	-2.2096977775154235e-7	-1.692170331371445e-10

Samples

15.0ms	284×	0	valid
1.0ms	13×	1	valid
1.0ms	6×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 300 to 232 computations (22.7% saved)

Precisions

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

ival-add: 7.0ms (84.2% of total)

adjust: 1.0ms (12% of total)

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

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

bsearch32.0ms (0.5%)

Memory

21.5MiB live, 58.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
3.0ms	2.7671533003172705e+23	2.9581632408897068e+23
13.0ms	-8.365864387630717e-280	-1.5227391969983786e-287
13.0ms	-2.2096977775154235e-7	-1.692170331371445e-10

Samples

15.0ms	274×	0	valid
3.0ms	25×	1	valid
1.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 283 to 232 computations (18% saved)

Precisions

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

ival-add: 7.0ms (82.4% of total)

adjust: 1.0ms (11.8% of total)

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

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

bsearch17.0ms (0.3%)

Memory

-9.0MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.092592595414853e+53	3.378803475083165e+53
13.0ms	-1.5613986905277787e+141	-2.431754193588774e+137

Samples

7.0ms	155×	0	valid
3.0ms	4×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 157 to 124 computations (21% saved)

Precisions

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

ival-add: 4.0ms (59.2% of total)

adjust: 3.0ms (44.4% of total)

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

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

simplify17.0ms (0.3%)

Memory

-23.0MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	135
1	77	135

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(if (<=.f64 z #s(literal -2800000000000000078194947685089280 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 z #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -250000000000000008210390622301231519746753141589902923878078356564686751724696998886000328906931853170987376196080608894662122658552872960 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 319999999999999997830703575795720952467746701422100480 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -560000000000000012550206132118868082553864082320938782480323736260567854868824228179969441011966962390922111257445734274898946910242788059993793476777677489583520455365127123687702528 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 950000000000000060832586988344679278181332525524605726853107728461443758929874001982487492794840720507909338278891194890377555801227536054177106509336629592719360 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -519460313115661/2361183241434822606848 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -2657341345821943/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x))))
(if (<=.f64 z #s(literal -3687223749824619/604462909807314587353088 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -7500560250303871/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 z #s(literal 290000000000000012582912 binary64)) (.f64 x #s(literal 3 binary64)) (+.f64 z x))))
(if (<=.f64 y #s(literal -284999999999999992833446089667188958713415880593213337510892252376712414849934696869895594046118666985195347870649772950134519205166317568 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 334999999999999987095193839631818388884215845808504832 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(+.f64 z x)
z
x

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y (+.f64 x y))) z))
(if (<=.f64 z #s(literal -2800000000000000078194947685089280 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 z #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -2800000000000000078194947685089280 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 z #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -250000000000000008210390622301231519746753141589902923878078356564686751724696998886000328906931853170987376196080608894662122658552872960 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 319999999999999997830703575795720952467746701422100480 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -560000000000000012550206132118868082553864082320938782480323736260567854868824228179969441011966962390922111257445734274898946910242788059993793476777677489583520455365127123687702528 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 950000000000000060832586988344679278181332525524605726853107728461443758929874001982487492794840720507909338278891194890377555801227536054177106509336629592719360 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -519460313115661/2361183241434822606848 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -2657341345821943/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x))))
(if (<=.f64 z #s(literal -519460313115661/2361183241434822606848 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal -2657341345821943/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 x z))))
(if (<=.f64 z #s(literal -3687223749824619/604462909807314587353088 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -7500560250303871/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 z #s(literal 290000000000000012582912 binary64)) (.f64 x #s(literal 3 binary64)) (+.f64 z x))))
(if (<=.f64 z #s(literal -3687223749824619/604462909807314587353088 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal -7500560250303871/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 z #s(literal 290000000000000012582912 binary64)) (.f64 x #s(literal 3 binary64)) (+.f64 x z))))
(if (<=.f64 y #s(literal -284999999999999992833446089667188958713415880593213337510892252376712414849934696869895594046118666985195347870649772950134519205166317568 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 334999999999999987095193839631818388884215845808504832 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -284999999999999992833446089667188958713415880593213337510892252376712414849934696869895594046118666985195347870649772950134519205166317568 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 334999999999999987095193839631818388884215845808504832 binary64)) (+.f64 x z) (.f64 y #s(literal 2 binary64))))
(+.f64 z x)
(+.f64 x z)
z
x

soundness1.1s (17.2%)

Memory

17.1MiB live, 573.8MiB allocated

Rules

10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
10 288×	`accelerator-lowering-fma.f32`
10 288×	`accelerator-lowering-fma.f64`
5 460×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	444
1	235	444
2	587	444
3	1841	444
4	4053	444
5	6192	444
0	8152	390
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	55	378
1	158	378
2	358	378
3	1004	378
4	2195	378
5	3322	378
6	4332	378
7	4897	378
8	5121	378
9	5168	378
10	7680	378
0	8498	342

Stop Event

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

Compiler

Compiled 273 to 152 computations (44.3% saved)

preprocess75.0ms (1.1%)

Memory: -4.0MiB live, 151.6MiB allocated
Compiler: Compiled 318 to 134 computations (57.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (23.6%)

preprocess337.0ms (5.1%)

explain194.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize57.0ms (0.9%)

series5.0ms (0.1%)

rewrite621.0ms (9.4%)

simplify384.0ms (5.8%)

eval95.0ms (1.4%)

prune149.0ms (2.3%)

simplify6.0ms (0.1%)

localize38.0ms (0.6%)

series4.0ms (0.1%)

rewrite398.0ms (6%)

simplify290.0ms (4.4%)

eval59.0ms (0.9%)

prune45.0ms (0.7%)

simplify4.0ms (0.1%)

localize36.0ms (0.5%)

series2.0ms (0%)

rewrite437.0ms (6.6%)

simplify252.0ms (3.8%)

eval71.0ms (1.1%)

prune51.0ms (0.8%)

simplify3.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite7.0ms (0.1%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes24.0ms (0.4%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch16.0ms (0.2%)

bsearch32.0ms (0.5%)

bsearch31.0ms (0.5%)

bsearch32.0ms (0.5%)

bsearch17.0ms (0.3%)

simplify17.0ms (0.3%)

soundness1.1s (17.2%)

preprocess75.0ms (1.1%)

end0.0ms (0%)

Profiling