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)

sample750.0ms (10%)

Memory

30.2MiB live, 1 178.9MiB allocated

Samples

439.0ms	7 600×	0	valid
57.0ms	390×	1	valid
35.0ms	77×	3	valid
33.0ms	189×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-add: 254.0ms (87.5% of total)

adjust: 27.0ms (9.3% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess321.0ms (4.3%)

Memory

-12.5MiB live, 142.7MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain120.0ms (1.6%)

Memory

24.3MiB live, 214.3MiB 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

42.0ms	484×	0	valid
2.0ms	18×	1	valid
1.0ms	6×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 29.0ms (94.4% of total)

adjust: 1.0ms (3.3% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify57.0ms (0.8%)

Memory

-23.1MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x y) y)
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	cost-diff	64	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize34.0ms (0.5%)

Memory

-16.3MiB live, 39.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

24.0ms	242×	0	valid
1.0ms	9×	1	valid
1.0ms	3×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 18.0ms (94.6% of total)

adjust: 1.0ms (5.3% of total)

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

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

series5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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	x	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	y	@	inf	(+ (+ (+ (+ x y) y) x) z)

rewrite405.0ms (5.4%)

Memory

8.2MiB live, 664.4MiB 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))
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(.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)))

simplify1.1s (14.2%)

Memory

1.2MiB live, 475.1MiB 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)

eval96.0ms (1.3%)

Memory: -17.8MiB live, 213.3MiB allocated
Compiler: Compiled 26 198 to 2 462 computations (90.6% saved)

prune93.0ms (1.2%)

Memory

3.4MiB live, 244.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	727	10	737
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	728	10	738

Accuracy

100.0%

Counts

738 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
	63.0%	(fma.f64 x #s(literal 3 binary64) z)
	63.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶	100.0%	(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
▶	72.5%	(fma.f64 #s(literal 2 binary64) y z)
▶	41.6%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	40.5%	(+.f64 z x)
	27.8%	(*.f64 x #s(literal 3 binary64))
▶	37.6%	(*.f64 #s(literal 2 binary64) y)
▶	36.6%	z

Compiler

Compiled 172 to 114 computations (33.7% saved)

simplify5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	19	44
2	24	44
0	24	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

18.0MiB live, 55.6MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

17.0ms	237×	0	valid
3.0ms	2×	3	valid
2.0ms	13×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

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

ival-add: 8.0ms (64.7% of total)

ival-mult: 4.0ms (32.3% of total)

adjust: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-29.7MiB live, 6.5MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* 2 y)
0.0ms	y	@	inf	(* 2 y)
0.0ms	y	@	0	(+ (* 2 y) (+ (* x 3) z))
0.0ms	x	@	inf	(+ (* 2 y) (+ (* x 3) z))
0.0ms	y	@	0	(* 2 y)

rewrite500.0ms (6.7%)

Memory

6.6MiB live, 451.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 574×	`accelerator-lowering-fma.f32`
10 574×	`accelerator-lowering-fma.f64`
5 484×	`-lowering-.f32`
5 484×	`-lowering-.f64`
3 676×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	61	27
2	567	27
0	8012	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 326

Calls

Call 1

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

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

simplify312.0ms (4.2%)

Memory

-3.3MiB live, 229.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 882×	`accelerator-lowering-fma.f32`
6 882×	`accelerator-lowering-fma.f64`
2 520×	`-lowering-.f32`
2 520×	`-lowering-.f64`
1 494×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	616
1	255	616
2	626	616
3	1800	616
4	4291	616
5	6137	616
6	7921	616
0	8085	505

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval138.0ms (1.8%)

Memory: 37.6MiB live, 77.8MiB allocated
Compiler: Compiled 11 524 to 902 computations (92.2% saved)

prune173.0ms (2.3%)

Memory

-26.5MiB live, 87.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	457	3	460
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	460	10	470

Accuracy

100.0%

Counts

470 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(fma.f64 y #s(literal 2 binary64) x)
▶	63.0%	(fma.f64 x #s(literal 3 binary64) z)
▶	63.8%	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
	63.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	72.5%	(fma.f64 #s(literal 2 binary64) y z)
▶	40.5%	(+.f64 z x)
▶	27.8%	(*.f64 x #s(literal 3 binary64))
✓	37.6%	(*.f64 #s(literal 2 binary64) y)
✓	36.6%	z
▶	6.9%	x

Compiler

Compiled 113 to 83 computations (26.5% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

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	11	33
1	17	33
0	17	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize72.0ms (1%)

Memory

-17.1MiB live, 39.1MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

16.0ms	229×	0	valid
2.0ms	15×	1	valid
1.0ms	8×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 33 to 13 computations (60.6% saved)

Precisions

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

ival-mult: 5.0ms (52.6% of total)

ival-add: 4.0ms (42.1% of total)

adjust: 1.0ms (10.5% 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

2.9MiB live, 2.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite645.0ms (8.6%)

Memory

5.7MiB live, 391.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 906×	`accelerator-lowering-fma.f32`
7 906×	`accelerator-lowering-fma.f64`
5 562×	`-lowering-.f32`
5 562×	`-lowering-.f64`
2 466×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	56	21
2	404	21
3	4183	21
0	8367	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 273

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 x (/.f64 (.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal 3 binary64) x (.f64 #s(literal 2 binary64) y)) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 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))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) y)) (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))))) (neg.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))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (.f64 y #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (.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 #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 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)))))
(/.f64 (fma.f64 (.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))) (.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 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal -8 binary64)))))
(/.f64 (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))) (.f64 (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 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 x (.f64 x (.f64 x x))) #s(literal 81 binary64)))))
(/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (.f64 (fma.f64 #s(literal 3 binary64) x (.f64 y #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal -2 binary64)))))
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(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 z (-.f64 z (.f64 #s(literal 3 binary64) x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 729 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 z (-.f64 z (.f64 #s(literal 3 binary64) x)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 3 binary64) x) z) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (.f64 (.f64 z z) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 3 binary64) x) z) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 z (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9 binary64) (*.f64 z z))))

simplify264.0ms (3.5%)

Memory

-7.1MiB live, 325.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 654×	`accelerator-lowering-fma.f32`
4 654×	`accelerator-lowering-fma.f64`
3 296×	`/-lowering-/.f32`
3 296×	`/-lowering-/.f64`
2 764×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	378
1	160	378
2	368	378
3	1062	378
4	2370	378
5	3797	378
6	4994	378
7	5607	378
8	5850	378
9	5997	378
10	7754	378
0	8237	342

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 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)
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)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
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)))

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

eval44.0ms (0.6%)

Memory: 14.2MiB live, 92.2MiB allocated
Compiler: Compiled 8 383 to 824 computations (90.2% saved)

prune87.0ms (1.2%)

Memory

-9.8MiB live, 105.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	369	10	379

Accuracy

100.0%

Counts

379 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.6%	(fma.f64 y #s(literal 2 binary64) x)
✓	63.0%	(fma.f64 x #s(literal 3 binary64) z)
✓	63.8%	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
▶	63.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	72.5%	(fma.f64 #s(literal 2 binary64) y z)
✓	40.5%	(+.f64 z x)
✓	27.8%	(*.f64 x #s(literal 3 binary64))
✓	37.6%	(*.f64 #s(literal 2 binary64) y)
✓	36.6%	z
✓	6.9%	x

Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

32×	`accelerator-lowering-fma.f32`
32×	`accelerator-lowering-fma.f64`
28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
16×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	18	21
2	26	21
3	35	21
4	38	21
0	38	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

19.5MiB live, 63.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

18.0ms	240×	0	valid
1.0ms	4×	3	valid
1.0ms	5×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 4.0ms (46.4% of total)

ival-mult: 3.0ms (34.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

-34.3MiB live, 4.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite360.0ms (4.8%)

Memory

23.0MiB live, 655.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 360×	`accelerator-lowering-fma.f32`
7 360×	`accelerator-lowering-fma.f64`
5 334×	`-lowering-.f32`
5 334×	`-lowering-.f64`
2 386×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	51	15
2	430	15
3	5251	15
0	8533	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 #s(literal 2 binary64) (+.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)))))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 y x)))) (/.f64 (.f64 (+.f64 y x) (.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 y x)))))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) y x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 y (exp.f64 (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) y x))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) x)
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
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simplify238.0ms (3.2%)

Memory

-0.4MiB live, 403.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 392×	`accelerator-lowering-fma.f32`
6 392×	`accelerator-lowering-fma.f64`
2 396×	`-lowering-.f32`
2 396×	`-lowering-.f64`
2 060×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	306
1	167	306
2	392	306
3	1136	306
4	2829	306
5	4737	306
6	6229	306
7	6714	306
8	6925	306
9	7039	306
0	8049	270

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval40.0ms (0.5%)

Memory: -12.6MiB live, 106.5MiB allocated
Compiler: Compiled 8 015 to 707 computations (91.2% saved)

prune93.0ms (1.2%)

Memory

14.5MiB live, 96.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	319	10	329

Accuracy

100.0%

Counts

329 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.6%	(fma.f64 y #s(literal 2 binary64) x)
✓	63.0%	(fma.f64 x #s(literal 3 binary64) z)
✓	63.8%	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓	63.7%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	72.5%	(fma.f64 #s(literal 2 binary64) y z)
✓	40.5%	(+.f64 z x)
✓	27.8%	(*.f64 x #s(literal 3 binary64))
✓	37.6%	(*.f64 #s(literal 2 binary64) y)
✓	36.6%	z
✓	6.9%	x

Compiler

Compiled 146 to 76 computations (47.9% saved)

regimes21.0ms (0.3%)

Memory

13.2MiB live, 52.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes18.0ms (0.2%)

Memory

1.8MiB live, 41.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.3%	3	`x`
91.7%	4	`y`
89.8%	4	`z`
77.3%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory

-26.1MiB live, 13.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs
(fma.f64 #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	x

Results

Accuracy	Segments	Branch
90.0%	3	`y`
90.0%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-17.2MiB live, 23.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
76.3%	3	`z`
87.2%	3	`x`
72.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-8.9MiB live, 29.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
65.2%	3	`y`
61.6%	5	`z`
45.5%	3	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
63.4%	7	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
z
(+.f64 z x)

Outputs
(+.f64 z x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.5%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
40.5%	1	`x`
40.5%	1	`z`
40.5%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes24.0ms (0.3%)

Memory

-18.5MiB live, 20.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

4 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
36.6%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
36.6%	1	`y`
36.6%	1	`z`
36.6%	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
6.9%	1	`z`
6.9%	1	`y`
6.9%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
6.9%	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch38.0ms (0.5%)

Memory

2.9MiB live, 42.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.1037787894180333e+148	6.138931406917381e+162
6.0ms	-3.200623310329708e+90	-2.0197920928055494e+90

Samples

9.0ms	206×	0	valid
1.0ms	13×	1	valid
1.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 249 to 190 computations (23.7% saved)

Precisions

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

ival-add: 5.0ms (83.6% of total)

adjust: 1.0ms (16.7% of total)

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

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

bsearch24.0ms (0.3%)

Memory

-3.4MiB live, 46.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1037787894180333e+148	6.138931406917381e+162
6.0ms	-3.200623310329708e+90	-2.0197920928055494e+90

Samples

12.0ms	204×	0	valid
1.0ms	14×	1	valid
1.0ms	4×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 249 to 186 computations (25.3% saved)

Precisions

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

ival-add: 5.0ms (78.5% of total)

adjust: 1.0ms (15.7% of total)

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

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

bsearch26.0ms (0.4%)

Memory

-11.0MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0665749034037844e+49	4.6445221003130895e+52
13.0ms	-4.522270130540625e+40	-3.551953142241043e+35

Samples

12.0ms	255×	0	valid
1.0ms	15×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 289 to 218 computations (24.6% saved)

Precisions

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

ival-add: 6.0ms (85.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch30.0ms (0.4%)

Memory

-12.9MiB live, 66.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.6686076499036612e+225	1.6081498491010726e+230
14.0ms	-2.3156428585874764e+171	-9.372444557514103e+157

Samples

12.0ms	268×	0	valid
2.0ms	16×	1	valid
0.0ms	3×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 287 to 230 computations (19.9% saved)

Precisions

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

ival-add: 7.0ms (91.9% of total)

adjust: 1.0ms (13.1% of total)

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

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

bsearch12.0ms (0.2%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.425257558924043e+106	2.0600048028582682e+107
3.0ms	-4377860834359.7393	-3884775712927.8984

Samples

5.0ms	122×	0	valid
0.0ms	3×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 129 to 102 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 3.0ms (92% of total)

adjust: 0.0ms (0% of total)

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

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

simplify10.0ms (0.1%)

Memory

-10.4MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	104
1	55	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(if (<=.f64 x #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 36999999999999999431923770893530596617774259249394675008979521949041407846145206211167057832799379747901040068318643920088909387870349465190347536034955264 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (if (<=.f64 x #s(literal 92000000000000002234487831490076360354007984674814267909414646314426541870934525127335525336380924274619368470187803084726035808935151797677779320832 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -42000000000000002076814674888107229184 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 10999999999999999925430435417977907741078792861384704 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -215000000000000000232951958821171622953718845028617378390925854229326821651337034704457854407348533724936574460214790196730528358916202316864976916251316060160 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 2900000000000000137713666540157939699957263440103255723096595185101432926920095240962555737636539060903687270545149156560095336593225774832631073736138726457746425675347580739775711955263846030107506553016979155867253040218112 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -4200000000000 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 142000000000000006001189545615065078172669126723033343540952956258557568951111417155692938189746092082462720 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(+.f64 z x)
z
x

Outputs
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(if (<=.f64 x #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 36999999999999999431923770893530596617774259249394675008979521949041407846145206211167057832799379747901040068318643920088909387870349465190347536034955264 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2900000000000000140268172381060164040488223768446612485854892072279809262312273222718980096 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (if (<=.f64 x #s(literal 92000000000000002234487831490076360354007984674814267909414646314426541870934525127335525336380924274619368470187803084726035808935151797677779320832 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -42000000000000002076814674888107229184 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 10999999999999999925430435417977907741078792861384704 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -215000000000000000232951958821171622953718845028617378390925854229326821651337034704457854407348533724936574460214790196730528358916202316864976916251316060160 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 2900000000000000137713666540157939699957263440103255723096595185101432926920095240962555737636539060903687270545149156560095336593225774832631073736138726457746425675347580739775711955263846030107506553016979155867253040218112 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -4200000000000 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 142000000000000006001189545615065078172669126723033343540952956258557568951111417155692938189746092082462720 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -4200000000000 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 142000000000000006001189545615065078172669126723033343540952956258557568951111417155692938189746092082462720 binary64)) (+.f64 x z) (.f64 #s(literal 2 binary64) y)))
(+.f64 z x)
(+.f64 x z)
z
x

soundness1.2s (15.5%)

Memory

-1.5MiB live, 516.0MiB allocated

Rules

10 710×	`accelerator-lowering-fma.f32`
10 710×	`accelerator-lowering-fma.f64`
6 882×	`accelerator-lowering-fma.f32`
6 882×	`accelerator-lowering-fma.f64`
2 766×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	764
1	343	762
2	900	762
3	2801	762
4	6719	762
0	8258	658
0	86	616
1	255	616
2	626	616
3	1800	616
4	4291	616
5	6137	616
6	7921	616
0	8085	505

Stop Event

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

Compiler

Compiled 241 to 134 computations (44.4% saved)

preprocess64.0ms (0.9%)

Memory: -2.5MiB live, 153.3MiB allocated
Compiler: Compiled 256 to 100 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample750.0ms (10%)

preprocess321.0ms (4.3%)

explain120.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.8%)

localize34.0ms (0.5%)

series5.0ms (0.1%)

rewrite405.0ms (5.4%)

simplify1.1s (14.2%)

eval96.0ms (1.3%)

prune93.0ms (1.2%)

simplify5.0ms (0.1%)

localize37.0ms (0.5%)

series9.0ms (0.1%)

rewrite500.0ms (6.7%)

simplify312.0ms (4.2%)

eval138.0ms (1.8%)

prune173.0ms (2.3%)

simplify4.0ms (0.1%)

localize72.0ms (1%)

series2.0ms (0%)

rewrite645.0ms (8.6%)

simplify264.0ms (3.5%)

eval44.0ms (0.6%)

prune87.0ms (1.2%)

simplify5.0ms (0.1%)

localize28.0ms (0.4%)

series3.0ms (0%)

rewrite360.0ms (4.8%)

simplify238.0ms (3.2%)

eval40.0ms (0.5%)

prune93.0ms (1.2%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch38.0ms (0.5%)

bsearch24.0ms (0.3%)

bsearch26.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch12.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.2s (15.5%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling