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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.4s (16.8%)

Memory

-35.1MiB live, 1 018.5MiB allocated

Samples

948.0ms	7 642×	0	valid
84.0ms	367×	1	valid
36.0ms	182×	2	valid
16.0ms	65×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 559.0ms

ival-add: 526.0ms (94.1% of total)

adjust: 25.0ms (4.5% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess336.0ms (4.1%)

Memory

14.2MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	139	83
2	547	81
3	2356	81
4	4279	81
5	5574	81
6	5954	81
7	6069	81
8	6080	81
9	6080	81
10	6693	81
11	6916	81
12	6934	81
13	6934	81
14	6944	81
15	6954	81
16	6954	81
17	6958	81
18	7718	81
19	7718	81
0	8	11
0	13	11
1	26	9
2	71	9
3	163	9
4	266	9
5	273	9
0	273	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain286.0ms (3.5%)

Memory

-11.9MiB live, 148.3MiB 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

94.0ms	470×	0	valid
43.0ms	20×	1	valid
2.0ms	14×	2	valid
2.0ms	8×	3	valid

Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-add: 124.0ms (98.1% of total)

adjust: 2.0ms (1.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify10.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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×	`lower-+.f32`
256×	`lower-+.f64`
242×	`associate-+r+`
132×	`associate-+l+`
104×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	13	38
1	26	32
2	71	32
3	163	32
4	266	32
5	273	32
0	273	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (0.8%)

Memory

-10.9MiB live, 27.4MiB 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

41.0ms	10×	1	valid
12.0ms	235×	0	valid
1.0ms	7×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 46.0ms (97.5% of total)

adjust: 1.0ms (2.1% of total)

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

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

series5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)>
#<alt (+.f64 (+.f64 (+.f64 x y) y) x)>
#<alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)>
#<alt (+.f64 (+.f64 x y) y)>
#<alt (+.f64 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)

rewrite489.0ms (6%)

Memory

11.8MiB live, 484.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 184×	`lower-fma.f64`
5 184×	`lower-fma.f32`
4 742×	`lower-*.f64`
4 742×	`lower-*.f32`
4 214×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	13	35
1	81	29
2	878	29
0	8130	26

Stop Event

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

Counts

5 → 593

Calls

Call 1

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

simplify435.0ms (5.3%)

Memory

-2.5MiB live, 469.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
2 766×	`lower-*.f64`
2 766×	`lower-*.f32`
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 → 131

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)

eval152.0ms (1.9%)

Memory: -11.4MiB live, 197.8MiB allocated
Compiler: Compiled 26 115 to 2 456 computations (90.6% saved)

prune200.0ms (2.5%)

Memory

14.7MiB live, 215.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	717	7	724
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	718	7	725

Accuracy

100.0%

Counts

725 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(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) (+.f64 x z)))
▶	67.5%	(fma.f64 x #s(literal 3 binary64) z)
	65.4%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶	67.5%	(fma.f64 #s(literal 2 binary64) y z)
▶	38.2%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	34.2%	(*.f64 x #s(literal 3 binary64))
▶	33.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 148 to 96 computations (35.1% saved)

simplify5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) z)

Rules

12×	`lower-fma.f32`
12×	`lower-+.f32`
10×	`lower-+.f64`
8×	`lower-fma.f64`
8×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	15	35
1	20	35
0	20	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1%)

Memory

-20.7MiB live, 57.8MiB 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 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)

Samples

32.0ms	234×	0	valid
2.0ms	11×	2	valid
1.0ms	6×	3	valid
1.0ms	5×	1	valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-add: 4.0ms (48% of total)

ival-mult: 3.0ms (36% of total)

adjust: 1.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<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 (* 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 (* 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

24 calls:

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

rewrite476.0ms (5.8%)

Memory

-2.9MiB live, 443.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 018×	`lower-fma.f32`
8 014×	`lower-fma.f64`
5 408×	`lower-*.f32`
5 404×	`lower-*.f64`
2 466×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
0	15	19
1	52	19
2	391	19
3	4102	19
0	8223	18

Stop Event

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

Counts

5 → 281

Calls

Call 1

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

Outputs
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 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 (/.f64 (.f64 z z) (-.f64 z (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 z (*.f64 x #s(literal 3 binary64)))))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x (/.f64 (.f64 x #s(literal 9 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) z)
(fma.f64 #s(literal 3 binary64) x z)
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z))) (fma.f64 x #s(literal 3 binary64) z) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 z (fma.f64 x #s(literal 3 binary64) z))) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x z)
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (neg.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z)) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z))) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64))) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 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 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 x #s(literal 3 binary64))) (fma.f64 z z (.f64 #s(literal -9 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (fma.f64 (.f64 z z) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z z)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)))))
(/.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 z (.f64 z (.f64 z z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (fma.f64 (.f64 x x) #s(literal 9 binary64) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 z z))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64))) #s(literal 1 binary64)) (.f64 (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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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 (fma.f64 (.f64 z z) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z z)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 (.f64 (-.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 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))))
(/.f64 (neg.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))) (neg.f64 (-.f64 z (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 x (.f64 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 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (fma.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (/.f64 (.f64 x (.f64 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 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 x (.f64 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 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))) (fma.f64 x (/.f64 (.f64 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 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.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 1 binary64) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 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 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z))) (fma.f64 (.f64 z z) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z z)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64)) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (*.f64 z z)))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 z z))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 z z))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (neg.f64 (.f64 z z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 z z))) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 z z))) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (neg.f64 (.f64 z z)))) (.f64 (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))))
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(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.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 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (+.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 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 #s(literal 2 binary64) y) x)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.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 (.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 (.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)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 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 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 64 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))))) (-.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.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)))
(/.f64 (-.f64 (neg.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 x (neg.f64 x))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x (neg.f64 x)))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 x (neg.f64 x)))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 y (.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 x x))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 x (neg.f64 x)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (+.f64 x (.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 y y)))) #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 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))))))
(.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))))))
(.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 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 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -2 binary64)))))
(.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 x))) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 #s(literal 2 binary64) y x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (+.f64 x (.f64 y #s(literal -2 binary64))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))))) (fma.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) (-.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) (.f64 y (.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (+.f64 x (.f64 y #s(literal -2 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))))))
(.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x (neg.f64 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))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) x) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))

simplify292.0ms (3.6%)

Memory

17.6MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 984×	`lower-fma.f64`
5 984×	`lower-fma.f32`
3 696×	`lower-*.f64`
3 696×	`lower-*.f32`
1 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	378
1	168	378
2	388	378
3	1162	378
4	2819	378
5	4461	378
6	5647	378
7	5802	378
8	5831	378
9	5832	378
10	6552	378
0	8195	324

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

eval47.0ms (0.6%)

Memory: -16.4MiB live, 67.6MiB allocated
Compiler: Compiled 8 688 to 828 computations (90.5% saved)

prune104.0ms (1.3%)

Memory

-14.8MiB live, 117.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	386	3	389
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	388	8	396

Accuracy

100.0%

Counts

396 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
▶	38.2%	(fma.f64 y #s(literal 2 binary64) x)
✓	67.5%	(fma.f64 x #s(literal 3 binary64) z)
▶	65.4%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.5%	(fma.f64 #s(literal 2 binary64) y z)
▶	30.1%	(.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)))))
✓	34.2%	(*.f64 x #s(literal 3 binary64))
✓	33.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 85 to 57 computations (32.9% saved)

simplify119.0ms (1.5%)

Memory

-7.5MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	256	(neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
✓	cost-diff	1216	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
✓	cost-diff	0	(fma.f64 y #s(literal 2 binary64) x)
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	cost-diff	0	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	cost-diff	0	(fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))
✓	cost-diff	128	(-.f64 z (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(.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)))))

Rules

1 592×	`lower-fma.f32`
1 584×	`lower-fma.f64`
816×	`lower-*.f32`
804×	`lower-*.f64`
506×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	136
0	45	131
1	89	127
2	157	126
3	285	126
4	594	126
5	1518	126
6	2474	126
7	2766	126
8	2877	126
9	2955	126
10	2993	126
11	3018	126
0	3018	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.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)))))
(fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))
z
(.f64 #s(literal -9 binary64) (.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(-.f64 z (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
#s(literal 2 binary64)
(+.f64 y x)
y
x
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))
(*.f64 z z)

Outputs
(.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 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 x #s(literal -3 binary64) z))
(fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))
z
(.f64 #s(literal -9 binary64) (.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))
#s(literal 1 binary64)
(-.f64 z (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal -3 binary64) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 2 binary64) (+.f64 x y) x)
#s(literal 2 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) y x)
y
#s(literal 2 binary64)
x
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(/.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 x #s(literal -3 binary64) z))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 x (fma.f64 x #s(literal 3 binary64) (neg.f64 z)))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(fma.f64 x #s(literal 3 binary64) (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(/.f64 (*.f64 z z) (fma.f64 x #s(literal -3 binary64) z))
(/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))
(/.f64 (*.f64 z z) (fma.f64 x #s(literal 3 binary64) (neg.f64 z)))
(*.f64 z z)

localize189.0ms (2.3%)

Memory

12.3MiB live, 133.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.8%	(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	accuracy	99.7%	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
✓	accuracy	72.4%	(/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))
✓	accuracy	100.0%	(fma.f64 y #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	99.8%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	accuracy	97.3%	(fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))
✓	accuracy	54.1%	(.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)))))

Samples

34.0ms	207×	0	valid
10.0ms	23×	2	valid
8.0ms	14×	3	valid
4.0ms	12×	1	valid

Compiler

Compiled 143 to 30 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 15.0ms (40.2% of total)

ival-add: 7.0ms (18.8% of total)

ival-div: 6.0ms (16.1% of total)

adjust: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory

-5.3MiB live, 32.5MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#<alt (.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)))))>
#<alt (-.f64 z (*.f64 x #s(literal 3 binary64)))>
#<alt (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal -9 binary64) (.f64 x x))>
#<alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)>
#<alt (+.f64 y x)>
#<alt (fma.f64 y #s(literal 2 binary64) x)>
#<alt (fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))>
#<alt (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))>
#<alt (-.f64 (*.f64 x #s(literal 3 binary64)) z)>

Outputs
#<alt (* 3 x)>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt z>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -3 x)>
#<alt (- z (* 3 x))>
#<alt (- z (* 3 x))>
#<alt (- z (* 3 x))>
#<alt z>
#<alt (* z (+ 1 (* -3 (/ x z))))>
#<alt (* z (+ 1 (* -3 (/ x z))))>
#<alt (* z (+ 1 (* -3 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* 3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* 3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* 3 (/ x z)) 1)))>
#<alt z>
#<alt (+ z (* -3 x))>
#<alt (+ z (* -3 x))>
#<alt (+ z (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (/ z x) 3))>
#<alt (* x (- (/ z x) 3))>
#<alt (* x (- (/ z x) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -9 (pow x 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<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)))>
#<alt z>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* 3 x) (* -1 z))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))>
#<alt (* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* -1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow z 3) x)) (* 1/9 (/ (pow z 3) x))) (+ (* -1/3 (pow z 2)) (* 1/3 (pow z 2)))) 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 (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))>
#<alt (* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (* 9 (pow x 2))) z)) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (+ (* -1 (/ (+ (* -27 (pow x 3)) (* 27 (pow x 3))) z)) (* 9 (pow x 2)))) z)) (* 3 x)) z)) 1)))>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (- (* -1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (- (* z (- (* -1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (- (* z (- (* z (- (* -1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2))))))>
#<alt (* z (+ 1 (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 3 x) (* 9 (/ (pow x 2) z))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)) 1)))>
#<alt z>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* x (+ 3 (* 9 (/ x z)))) (* -1 z))>
#<alt (- (* x (+ 3 (* x (+ (* 27 (/ x (pow z 2))) (* 9 (/ 1 z)))))) (* -1 z))>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2)))) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* -1/9 (/ (pow z 3) x)) (+ (* -1/27 (/ (pow z 4) (pow x 2))) (* -1/81 (/ (pow z 5) (pow x 3))))) (* 1/3 (pow z 2))) x)>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (* -1 (/ (- (* 1/9 (/ (pow z 3) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) x)) (* -1/27 (pow z 4))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* -1 (/ x z))>
#<alt (* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))>
#<alt (* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt (* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))>
#<alt (+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (/ x z))>
#<alt (/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)>
#<alt (/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)>
#<alt (/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)>
#<alt (* -1 (/ x z))>
#<alt (* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))>
#<alt (/ -1/3 x)>
#<alt (- (* -1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))>
#<alt (- (* z (- (* -1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (- (* z (- (* z (- (* -1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* 3 (/ x z))) z)>
#<alt (/ (- (+ 1 (* 9 (/ (pow x 2) (pow z 2)))) (* -3 (/ x z))) z)>
#<alt (/ (- (+ 1 (* 27 (/ (pow x 3) (pow z 3)))) (+ (* -9 (/ (pow x 2) (pow z 2))) (* -3 (/ x z)))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (* -3 (/ x z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow x 2) z)) (* -3 x)) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27 (/ (pow x 3) z)) (* 9 (pow x 2))) z)) (* -3 x)) z)) 1) z))>
#<alt (/ 1 z)>
#<alt (+ (* 3 (/ x (pow z 2))) (/ 1 z))>
#<alt (+ (* x (+ (* 9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))>
#<alt (+ (* x (+ (* x (+ (* 27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))>
#<alt (/ -1/3 x)>
#<alt (/ (- (* -1/9 (/ z x)) 1/3) x)>
#<alt (/ (- (* -1/27 (/ (pow z 2) (pow x 2))) (+ 1/3 (* 1/9 (/ z x)))) x)>
#<alt (/ (- (* -1/81 (/ (pow z 3) (pow x 3))) (+ 1/3 (+ (* 1/27 (/ (pow z 2) (pow x 2))) (* 1/9 (/ z x))))) x)>
#<alt (/ -1/3 x)>
#<alt (* -1 (/ (+ 1/3 (* 1/9 (/ z x))) x))>
#<alt (* -1 (/ (+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x))) x))>
#<alt (* -1 (/ (+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x))) x))>
#<alt (* 1/3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (+ (* z (+ (* 1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (+ (* z (+ (* z (+ (* 1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* -1 z)>
#<alt (* z (- (* -3 (/ x z)) 1))>
#<alt (* z (- (* -9 (/ (pow x 2) (pow z 2))) (+ 1 (* 3 (/ x z)))))>
#<alt (* z (- (* -27 (/ (pow x 3) (pow z 3))) (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* 3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (* -9 (/ (pow x 2) z)) (* 3 x)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)))))>
#<alt (* -1 z)>
#<alt (+ (* -3 x) (* -1 z))>
#<alt (+ (* -1 z) (* x (- (* -9 (/ x z)) 3)))>
#<alt (+ (* -1 z) (* x (- (* x (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))) 3)))>
#<alt (* 1/3 (/ (pow z 2) x))>
#<alt (/ (+ (* 1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 4) (pow x 2))) (* 1/3 (pow z 2))) (* -1/9 (/ (pow z 3) x))) x)>
#<alt (/ (- (+ (* 1/81 (/ (pow z 5) (pow x 3))) (* 1/3 (pow z 2))) (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2))))) x)>
#<alt (* 1/3 (/ (pow z 2) x))>
#<alt (* -1 (/ (+ (* -1/3 (pow z 2)) (* -1/9 (/ (pow z 3) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (pow z 4)) (* -1/81 (/ (pow z 5) x))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* 3 x)>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>

Calls

78 calls:

Time	Variable		Point	Expression
24.0ms	z	@	0	(/ x (- (* x 3) z))
3.0ms	z	@	inf	(+ (* (* x 9) (/ x (- (* x 3) z))) (neg (/ (* z z) (- (* x 3) z))))
2.0ms	x	@	0	(+ (* (* x 9) (/ x (- (* x 3) z))) (neg (/ (* z z) (- (* x 3) z))))
2.0ms	z	@	0	(+ (* (* x 9) (/ x (- (* x 3) z))) (neg (/ (* z z) (- (* x 3) z))))
1.0ms	x	@	0	(- z (* x 3))

rewrite479.0ms (5.9%)

Memory

23.5MiB live, 453.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 544×	`lower-fma.f32`
5 536×	`lower-fma.f64`
4 546×	`lower-/.f32`
4 540×	`lower-/.f64`
3 958×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	109
0	45	107
1	182	91
2	1515	91
0	8150	87

Stop Event

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

Counts

14 → 765

Calls

Call 1

Inputs
(.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 z (*.f64 x #s(literal 3 binary64)))
(fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+.f64 y x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(*.f64 x #s(literal 9 binary64))
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (*.f64 z z)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 #s(literal -9 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))) (.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))))
(+.f64 (.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))) (.f64 (.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64))))) (fma.f64 x #s(literal -3 binary64) z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (fma.f64 z z (.f64 x (*.f64 x #s(literal 9 binary64))))) (fma.f64 x #s(literal -3 binary64) z)))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 z z (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(fma.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 z z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 z z) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 #s(literal -9 binary64) (.f64 x x))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z))))
(/.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 z z)) (fma.f64 x #s(literal -3 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 z z)))))
(/.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 z z)) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 (fma.f64 x #s(literal -3 binary64) z) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 z z)))) (fma.f64 x #s(literal -3 binary64) z)))
(/.f64 (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 z z)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) z))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 z z)) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (.f64 x (*.f64 x #s(literal 9 binary64)))) (fma.f64 x #s(literal -3 binary64) z)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) z)) (.f64 (fma.f64 x #s(literal 3 binary64) z) (.f64 z z))) (.f64 (fma.f64 x #s(literal 3 binary64) z) (fma.f64 x #s(literal 3 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3 binary64) z))))
(/.f64 (fma.f64 (.f64 z z) (neg.f64 z) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 z z (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (neg.f64 z) (.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (fma.f64 x #s(literal 3 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) z)) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) z)) (fma.f64 (/.f64 (.f64 z z) (fma.f64 x #s(literal 3 binary64) z)) (/.f64 (.f64 z z) (fma.f64 x #s(literal 3 binary64) z)) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) z)) (/.f64 (*.f64 z z) (fma.f64 x #s(literal 3 binary64) z))))))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) z) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x #s(literal 3 binary64) z) (.f64 x (.f64 x #s(literal 9 binary64))))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z)))
(.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) z) (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (-.f64 (neg.f64 (.f64 z z)) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))) (fma.f64 x #s(literal 3 binary64) z))) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (-.f64 (neg.f64 (.f64 z z)) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))))))
(.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) z) (.f64 (fma.f64 x #s(literal 3 binary64) z) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (neg.f64 (.f64 z z))) (-.f64 (.f64 x #s(literal 3 binary64)) z)))) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (neg.f64 (.f64 z z))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))))

simplify372.0ms (4.6%)

Memory

-1.0MiB live, 556.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 584×	`lower-fma.f64`
8 584×	`lower-fma.f32`
4 214×	`lower-*.f64`
4 214×	`lower-*.f32`
2 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	2904
1	1671	2809
2	4890	2744
0	8443	2530

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 291

Calls

Call 1

Inputs
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -3 x)
(- z (* 3 x))
(- z (* 3 x))
(- z (* 3 x))
z
(* z (+ 1 (* -3 (/ x z))))
(* z (+ 1 (* -3 (/ x z))))
(* z (+ 1 (* -3 (/ x z))))
z
(* -1 (* z (- (* 3 (/ x z)) 1)))
(* -1 (* z (- (* 3 (/ x z)) 1)))
(* -1 (* z (- (* 3 (/ x z)) 1)))
z
(+ z (* -3 x))
(+ z (* -3 x))
(+ z (* -3 x))
(* -3 x)
(* x (- (/ z x) 3))
(* x (- (/ z x) 3))
(* x (- (/ z x) 3))
(* -3 x)
(* -1 (* x (+ 3 (* -1 (/ z x)))))
(* -1 (* x (+ 3 (* -1 (/ z x)))))
(* -1 (* x (+ 3 (* -1 (/ z x)))))
(* -9 (pow x 2))
(+ (* -9 (pow x 2)) (pow z 2))
(+ (* -9 (pow x 2)) (pow z 2))
(+ (* -9 (pow x 2)) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(pow z 2)
(+ (* -9 (pow x 2)) (pow z 2))
(+ (* -9 (pow x 2)) (pow z 2))
(+ (* -9 (pow x 2)) (pow z 2))
(* -9 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(+ 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)))
z
(- (* 3 x) (* -1 z))
(- (* 3 x) (* -1 z))
(- (* 3 x) (* -1 z))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))
(* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* -1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow z 3) x)) (* 1/9 (/ (pow z 3) x))) (+ (* -1/3 (pow z 2)) (* 1/3 (pow z 2)))) x)) (* -1 z)) x)) 3)))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))
(* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (* 9 (pow x 2))) z)) (* 3 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (+ (* -1 (/ (+ (* -27 (pow x 3)) (* 27 (pow x 3))) z)) (* 9 (pow x 2)))) z)) (* 3 x)) z)) 1)))
(* -1/3 (/ (pow z 2) x))
(* (pow z 2) (- (* -1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow z 2) (- (* z (- (* -1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
(* (pow z 2) (- (* z (- (* z (- (* -1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2))))))
(* z (+ 1 (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 3 x) (* 9 (/ (pow x 2) z))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)) 1)))
z
(- (* 3 x) (* -1 z))
(- (* x (+ 3 (* 9 (/ x z)))) (* -1 z))
(- (* x (+ 3 (* x (+ (* 27 (/ x (pow z 2))) (* 9 (/ 1 z)))))) (* -1 z))
(* -1/3 (/ (pow z 2) x))
(/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)
(/ (- (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2)))) (* 1/3 (pow z 2))) x)
(/ (- (+ (* -1/9 (/ (pow z 3) x)) (+ (* -1/27 (/ (pow z 4) (pow x 2))) (* -1/81 (/ (pow z 5) (pow x 3))))) (* 1/3 (pow z 2))) x)
(* -1/3 (/ (pow z 2) x))
(* -1 (/ (- (* 1/9 (/ (pow z 3) x)) (* -1/3 (pow z 2))) x))
(* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) x)) (* -1/27 (pow z 4))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -1 (/ x z))
(* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))
(* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
(* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))
(- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))
(+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))
(+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))
(* -1 (/ x z))
(/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)
(/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)
(/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))
(/ -1/3 x)
(- (* -1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))
(- (* z (- (* -1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))
(- (* z (- (* z (- (* -1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))
(/ 1 z)
(/ (+ 1 (* 3 (/ x z))) z)
(/ (- (+ 1 (* 9 (/ (pow x 2) (pow z 2)))) (* -3 (/ x z))) z)
(/ (- (+ 1 (* 27 (/ (pow x 3) (pow z 3)))) (+ (* -9 (/ (pow x 2) (pow z 2))) (* -3 (/ x z)))) z)
(/ 1 z)
(* -1 (/ (- (* -3 (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow x 2) z)) (* -3 x)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27 (/ (pow x 3) z)) (* 9 (pow x 2))) z)) (* -3 x)) z)) 1) z))
(/ 1 z)
(+ (* 3 (/ x (pow z 2))) (/ 1 z))
(+ (* x (+ (* 9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))
(+ (* x (+ (* x (+ (* 27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))
(/ -1/3 x)
(/ (- (* -1/9 (/ z x)) 1/3) x)
(/ (- (* -1/27 (/ (pow z 2) (pow x 2))) (+ 1/3 (* 1/9 (/ z x)))) x)
(/ (- (* -1/81 (/ (pow z 3) (pow x 3))) (+ 1/3 (+ (* 1/27 (/ (pow z 2) (pow x 2))) (* 1/9 (/ z x))))) x)
(/ -1/3 x)
(* -1 (/ (+ 1/3 (* 1/9 (/ z x))) x))
(* -1 (/ (+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x))) x))
(* -1 (/ (+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x))) x))
(* 1/3 (/ (pow z 2) x))
(* (pow z 2) (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow z 2) (+ (* z (+ (* 1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
(* (pow z 2) (+ (* z (+ (* z (+ (* 1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
(* -1 z)
(* z (- (* -3 (/ x z)) 1))
(* z (- (* -9 (/ (pow x 2) (pow z 2))) (+ 1 (* 3 (/ x z)))))
(* z (- (* -27 (/ (pow x 3) (pow z 3))) (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))
(* -1 z)
(* -1 (* z (+ 1 (* 3 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -9 (/ (pow x 2) z)) (* 3 x)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)))))
(* -1 z)
(+ (* -3 x) (* -1 z))
(+ (* -1 z) (* x (- (* -9 (/ x z)) 3)))
(+ (* -1 z) (* x (- (* x (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))) 3)))
(* 1/3 (/ (pow z 2) x))
(/ (+ (* 1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (pow x 2))) (* 1/3 (pow z 2))) (* -1/9 (/ (pow z 3) x))) x)
(/ (- (+ (* 1/81 (/ (pow z 5) (pow x 3))) (* 1/3 (pow z 2))) (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2))))) x)
(* 1/3 (/ (pow z 2) x))
(* -1 (/ (+ (* -1/3 (pow z 2)) (* -1/9 (/ (pow z 3) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* 1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (pow z 4)) (* -1/81 (/ (pow z 5) x))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))
(* -1 z)
(- (* 3 x) z)
(- (* 3 x) z)
(- (* 3 x) z)
(* 3 x)
(* x (+ 3 (* -1 (/ z x))))
(* x (+ 3 (* -1 (/ z x))))
(* x (+ 3 (* -1 (/ z x))))
(* 3 x)
(* -1 (* x (- (/ z x) 3)))
(* -1 (* x (- (/ z x) 3)))
(* -1 (* x (- (/ z x) 3)))
(* 3 x)
(+ (* -1 z) (* 3 x))
(+ (* -1 z) (* 3 x))
(+ (* -1 z) (* 3 x))
(* -1 z)
(* z (- (* 3 (/ x z)) 1))
(* z (- (* 3 (/ x z)) 1))
(* z (- (* 3 (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(* -1 (* z (+ 1 (* -3 (/ x z)))))

Outputs
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eval181.0ms (2.2%)

Memory: 16.3MiB live, 351.6MiB allocated
Compiler: Compiled 36 728 to 2 835 computations (92.3% saved)

prune182.0ms (2.2%)

Memory

10.7MiB live, 345.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 112	2	1 114
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	1 114	8	1 122

Accuracy

100.0%

Counts

1 122 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.8%	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓	38.2%	(fma.f64 y #s(literal 2 binary64) x)
✓	67.5%	(fma.f64 x #s(literal 3 binary64) z)
✓	65.4%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.5%	(fma.f64 #s(literal 2 binary64) y z)
▶	54.5%	(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓	34.2%	(*.f64 x #s(literal 3 binary64))
✓	33.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 70 to 51 computations (27.1% saved)

simplify395.0ms (4.8%)

Memory

-28.6MiB live, 325.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	128	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓	cost-diff	256	(neg.f64 (neg.f64 z))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	cost-diff	704	(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))

Rules

4 912×	`lower-fma.f32`
4 908×	`lower-fma.f64`
3 888×	`lower-*.f32`
3 882×	`lower-*.f64`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	28	58
1	57	58
2	111	58
3	182	57
4	297	57
5	583	57
6	1566	57
7	3359	57
8	5229	57
9	6385	57
10	6916	57
11	7069	57
12	7159	57
13	7473	57
14	7823	57
15	7840	57
16	7846	57
17	7854	57
18	7856	57
19	7856	57
0	8200	55

Stop Event

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

Calls

Call 1

Inputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
y
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 3 binary64)
(/.f64 x y)
x
#s(literal 2 binary64)
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (neg.f64 z))
(neg.f64 z)

Outputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
y
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 3 binary64)
(/.f64 x y)
x
#s(literal 2 binary64)
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(fma.f64 #s(literal -9 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) z))) z)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 x (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(fma.f64 #s(literal 3 binary64) x (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (neg.f64 z))
z
(neg.f64 z)

localize66.0ms (0.8%)

Memory

6.4MiB live, 85.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.8%	(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	accuracy	99.8%	(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	86.8%	(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))

Samples

31.0ms	200×	0	valid
6.0ms	16×	3	valid
6.0ms	22×	2	valid
3.0ms	18×	1	valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-neg: 12.0ms (36.4% of total)

ival-mult: 8.0ms (24.3% of total)

ival-div: 5.0ms (15.2% of total)

adjust: 3.0ms (9.1% of total)

ival-add: 3.0ms (9.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

9 → 180

Calls

Call 1

Inputs
#<alt (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x y)>
#<alt (neg.f64 (neg.f64 z))>
#<alt (fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
#<alt (-.f64 (*.f64 x #s(literal 3 binary64)) z)>
#<alt (neg.f64 z)>

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

Calls

45 calls:

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

rewrite382.0ms (4.7%)

Memory

10.6MiB live, 566.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 244×	`lower-fma.f32`
9 240×	`lower-fma.f64`
5 930×	`lower-*.f32`
5 924×	`lower-*.f64`
3 120×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
0	28	47
1	112	47
2	754	47
0	8925	46

Stop Event

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

Counts

9 → 404

Calls

Call 1

Inputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
(neg.f64 (neg.f64 z))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(*.f64 x #s(literal 9 binary64))
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(neg.f64 z)

Outputs
(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))))
(+.f64 (.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y y)) (.f64 y y)) (.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 y #s(literal 2 binary64) (.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y))))
(fma.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y)) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 x y) y) (.f64 y #s(literal 2 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal 3 binary64) y) y) (.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (.f64 #s(literal 3 binary64) y) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y))))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x y)) y (.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y #s(literal 3 binary64)) (/.f64 x y) (.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y (/.f64 x y)) #s(literal 3 binary64) (.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y x) (/.f64 #s(literal 3 binary64) y) (.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) x (*.f64 y #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y y)) (.f64 y y) (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 3 binary64) (/.f64 x y)))))) (fma.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64))) (.f64 (.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64)) (.f64 (/.f64 x y) #s(literal -6 binary64))) (.f64 y (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)) (.f64 y (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)))))
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(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)))
(*.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) z) x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) z) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 z z)))) (fma.f64 #s(literal 3 binary64) x z))
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) z))
(+.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
(+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3 binary64) z))
(-.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)))
(-.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x (neg.f64 z))
(fma.f64 x #s(literal 3 binary64) (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(fma.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal 3 binary64) x))
(fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (.f64 z (neg.f64 z)) (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 3 binary64) x))
(neg.f64 (fma.f64 x #s(literal -3 binary64) z))
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal -3 binary64) z) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (neg.f64 (fma.f64 x (.f64 #s(literal -9 binary64) x) (neg.f64 (*.f64 z (fma.f64 #s(literal 3 binary64) x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)))
(/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 z (neg.f64 z))) (fma.f64 #s(literal 3 binary64) x z))
(/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 z (neg.f64 z))) (neg.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 z))))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 z (.f64 z z))) (fma.f64 x (.f64 #s(literal -9 binary64) x) (neg.f64 (*.f64 z (fma.f64 #s(literal 3 binary64) x z)))))
(/.f64 (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 z z)) (fma.f64 x #s(literal -3 binary64) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64)))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (.f64 (fma.f64 #s(literal 3 binary64) x z) (.f64 z z))) (.f64 (fma.f64 #s(literal 3 binary64) x z) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (.f64 (.f64 z z) (fma.f64 z z (.f64 x (.f64 x #s(literal 9 binary64)))))) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x)) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (*.f64 z z)) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 z (.f64 z z)))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 x (.f64 #s(literal -9 binary64) x) (neg.f64 (*.f64 z (fma.f64 #s(literal 3 binary64) x z))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 z z))) (fma.f64 #s(literal 3 binary64) x z))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 z z))) (neg.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 z))))
(/.f64 (fma.f64 z (.f64 z (neg.f64 z)) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (fma.f64 z z (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (fma.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64)))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))))) (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z))) (.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) x z)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x) z) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64))))))
(.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z)))
(.f64 (fma.f64 #s(literal 3 binary64) x z) (.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z))))
(.f64 (+.f64 (neg.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal -9 binary64) x) (neg.f64 (.f64 z (fma.f64 #s(literal 3 binary64) x z))))))
(.f64 (fma.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 z))))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(neg.f64 z)
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (.f64 z (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (neg.f64 z))))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (.f64 z (.f64 z z)) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 z (neg.f64 z)) z)
(*.f64 z #s(literal -1 binary64))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(.f64 (neg.f64 (.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(.f64 (.f64 z (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))

simplify433.0ms (5.3%)

Memory

-25.1MiB live, 862.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 234×	`lower-fma.f64`
16 234×	`lower-fma.f32`
7 112×	`lower-*.f64`
7 112×	`lower-*.f32`
2 352×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	1329
1	846	1300
2	2278	1262
0	8466	1159

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 165

Calls

Call 1

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

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

eval181.0ms (2.2%)

Memory: 20.1MiB live, 209.0MiB allocated
Compiler: Compiled 13 912 to 1 472 computations (89.4% saved)

prune66.0ms (0.8%)

Memory

-6.2MiB live, 194.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	568	1	569
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	570	7	577

Accuracy

100.0%

Counts

577 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.2%	(fma.f64 y #s(literal 2 binary64) x)
✓	67.5%	(fma.f64 x #s(literal 3 binary64) z)
	65.4%	(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓	65.4%	(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓	67.5%	(fma.f64 #s(literal 2 binary64) y z)
✓	34.2%	(*.f64 x #s(literal 3 binary64))
✓	33.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 187 to 89 computations (52.4% saved)

regimes21.0ms (0.3%)

Memory

20.6MiB live, 60.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.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))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(.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)))))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) 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) (+.f64 x z)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes15.0ms (0.2%)

Memory

0.5MiB live, 40.9MiB allocated

Counts

8 → 3

Calls

Call 1

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

Calls

4 calls:

4.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
90.1%	3	`x`
92.3%	3	`y`
89.1%	3	`z`
83.6%	7	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory

-14.2MiB live, 25.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.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:

3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
73.0%	3	`z`
84.9%	3	`x`
71.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.8%	3	`y`
39.1%	2	`z`
46.1%	6	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
54.9%	3	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes59.0ms (0.7%)

Memory

-23.1MiB live, 16.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
33.1%	1	`z`
33.1%	1	`(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)`
33.1%	1	`x`
33.1%	1	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch26.0ms (0.3%)

Memory

10.3MiB live, 48.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.15082499919555e+96	7.643179060849592e+99
11.0ms	-1.1631766346954794e+142	-9.804027460125354e+132

Samples

11.0ms	259×	0	valid
1.0ms	12×	1	valid
0.0ms	1×	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 (92.1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch40.0ms (0.5%)

Memory

-22.3MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.1221558357023251e+181	1.6440421661873598e+185
13.0ms	-1.5443482445774286e+73	-4.9164759677893315e+60

Samples

22.0ms	248×	0	valid
2.0ms	13×	2	valid
2.0ms	21×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 287 to 230 computations (19.9% saved)

Precisions

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

ival-add: 7.0ms (75.5% of total)

adjust: 2.0ms (21.6% of total)

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

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

bsearch33.0ms (0.4%)

Memory

-13.7MiB live, 25.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	4.954650311630798e+100	1.4516725383248186e+108
1.0ms	-1.1631766346954794e+142	-9.804027460125354e+132

Samples

25.0ms	135×	0	valid
1.0ms	6×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 269 to 230 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 22.0ms (97.1% of total)

adjust: 0.0ms (0% of total)

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

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

simplify7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	69
1	37	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(if (<=.f64 y #s(literal -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 32000000000000001595572927101084576544328591534030788850396573779583628771177786092302688491405312 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -250000000000000018132859095382308781539593602411630488879552538869760 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 15000000000000000599416962859597286268292298311907741586869805743617360815139146475078991890397891018710994412703538609307308220165811629102134579032325668844971129066190350107803648 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y (+.f64 x y))) z))
(if (<=.f64 y #s(literal -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 32000000000000001595572927101084576544328591534030788850396573779583628771177786092302688491405312 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -250000000000000018132859095382308781539593602411630488879552538869760 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 15000000000000000599416962859597286268292298311907741586869805743617360815139146475078991890397891018710994412703538609307308220165811629102134579032325668844971129066190350107803648 binary64)) (fma.f64 #s(literal 2 binary64) y z) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 149999999999999996557426989786800494267026407988622500919499396209799017827118486695489194172226732032 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

soundness449.0ms (5.5%)

Memory

-1.3MiB live, 230.4MiB allocated

Rules

10 710×	`lower-fma.f64`
10 710×	`lower-fma.f32`
2 766×	`lower-*.f64`
2 766×	`lower-*.f32`
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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 117 to 65 computations (44.4% saved)

preprocess39.0ms (0.5%)

Memory: -10.8MiB live, 107.8MiB allocated
Compiler: Compiled 172 to 76 computations (55.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.4s (16.8%)

preprocess336.0ms (4.1%)

explain286.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize64.0ms (0.8%)

series5.0ms (0.1%)

rewrite489.0ms (6%)

simplify435.0ms (5.3%)

eval152.0ms (1.9%)

prune200.0ms (2.5%)

simplify5.0ms (0.1%)

localize78.0ms (1%)

series4.0ms (0%)

rewrite476.0ms (5.8%)

simplify292.0ms (3.6%)

eval47.0ms (0.6%)

prune104.0ms (1.3%)

simplify119.0ms (1.5%)

localize189.0ms (2.3%)

series48.0ms (0.6%)

rewrite479.0ms (5.9%)

simplify372.0ms (4.6%)

eval181.0ms (2.2%)

prune182.0ms (2.2%)

simplify395.0ms (4.8%)

localize66.0ms (0.8%)

series8.0ms (0.1%)

rewrite382.0ms (4.7%)

simplify433.0ms (5.3%)

eval181.0ms (2.2%)

prune66.0ms (0.8%)

regimes21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes59.0ms (0.7%)

bsearch26.0ms (0.3%)

bsearch40.0ms (0.5%)

bsearch33.0ms (0.4%)

simplify7.0ms (0.1%)

soundness449.0ms (5.5%)

preprocess39.0ms (0.5%)

end0.0ms (0%)

Profiling