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

analyze0.0ms (0%)

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 15 to 9 computations (40% saved)

Precisions

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.4s (17.6%)

Results

815.0ms	7664×	0	valid
55.0ms	352×	1	valid
39.0ms	178×	2	valid
22.0ms	62×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-add: 282.0ms (89.2% of total)

backward-pass: 26.0ms (8.2% of total)

const: 8.0ms (2.5% of total)

Bogosity

preprocess99.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1786×	`fnmadd-define`
1420×	`sum4-define`
1382×	`sum3-define`
1170×	`fmsub-define`
1046×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	101
1	173	84
2	926	80
3	4709	80
0	8	9
1	25	8
2	111	8
3	371	8
4	1016	7
5	1355	7
6	1383	7
0	1383	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ x (sum5 x x y y z))
(+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x))
(+ z (fnmsub (- x y) 2 x))
(+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x)
(- x (fnmsub (- x y) 2 z))
(+ (+ (+ (+ (+ x y) y) x) (neg z)) x)
(+ x (fmsub (+ x y) 2 z))
(neg (+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x)))
(+ x (fnmsub (- y x) 2 z))
(neg (+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x))
(- (fnmsub (- x y) 2 z) x)
(neg (+ (+ (+ (+ (+ x y) y) x) (neg z)) x))
(fnmsub (+ x y) 2 (- x z))
(+ (+ (+ (+ (+ y x) x) y) z) y)
(+ y (sum5 x x y y z))
(+ (+ (+ (+ (+ z y) y) z) x) z)
(+ x (sum5 y z y z z))
(+ (+ (+ (+ (+ x z) z) x) y) x)
(+ x (sum5 x x z z y))

explain107.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

51.0ms	468×	0	valid
7.0ms	32×	1	valid
3.0ms	8×	2	valid
2.0ms	4×	3	valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

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

ival-add: 15.0ms (87.5% of total)

backward-pass: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
▶	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

876×	`sum4-define`
722×	`sum3-define`
508×	`sum5-define`
266×	`+-lowering-+.f64`
266×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	38	54
2	139	52
3	420	52
4	1070	52
5	1399	52
0	1399	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize122.0ms (1.6%)

Localize:

Found 8 expressions of interest:

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

Results

91.0ms	228×	0	valid
6.0ms	17×	1	valid
4.0ms	5×	3	valid
2.0ms	4×	2	valid
1.0ms	1×	5	exit
1.0ms	1×	4	valid

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 33.0ms (80.9% of total)

ival-mult: 4.0ms (9.8% of total)

backward-pass: 2.0ms (4.9% of total)

const: 1.0ms (2.5% of total)

series10.0ms (0.1%)

Counts

9 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* y 2)
1.0ms	z	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	z	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	y	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	x	@	inf	(+ z (+ (* y 2) (* x 3)))

rewrite451.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
2534×	`/-lowering-/.f32`
2534×	`/-lowering-/.f64`
2114×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	114	46
2	1414	45
0	8280	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 452

Calls

Call 1

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

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

simplify248.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2860×	`-lowering-.f32`
2860×	`-lowering-.f64`
1654×	`/-lowering-/.f32`
1654×	`/-lowering-/.f64`
1420×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1286
1	480	1235
2	1371	1163
3	4146	1163
0	8397	1163

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval79.0ms (1%)

Compiler: Compiled 25761 to 2170 computations (91.6% saved)

prune115.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	667	13	680
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	669	13	682

Accuracy

100.0%

Counts

682 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
	43.4%	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 z x) (+.f64 z x))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 z x)))
▶	65.5%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	67.6%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
	67.6%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
	67.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	40.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	57.5%	(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))))
	57.4%	(+.f64 z (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x)))))
▶	39.1%	(+.f64 z x)
	33.7%	(*.f64 #s(literal 3 binary64) x)
	36.0%	(*.f64 #s(literal 2 binary64) y)
▶	34.1%	z

Compiler

Compiled 314 to 216 computations (31.2% saved)

simplify201.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x)))
✓	cost-diff	0	(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 z (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))

Rules

1670×	`fnmadd-define`
1498×	`sum3-define`
1326×	`fmsub-define`
1190×	`fma-define`
1110×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	56	106
2	124	106
3	233	106
4	450	106
5	847	106
6	2030	106
7	3937	106
8	7042	106
9	7616	106
10	7655	106
11	7658	106
12	7659	106
0	8129	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x 3) (+ z (* y 2)))
x
3
(+ z (* y 2))
z
(* y 2)
y
2
z
(+ z x)
z
x
(+ (* 3 x) z)
(* 3 x)
3
x
z
(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
z
(/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x)))
(- (* (* y y) 4) (* (* x x) 9))
(* (* y y) 4)
(* y y)
y
4
(* (* x x) 9)
(* x x)
x
9
(+ (* y 2) (* -3 x))
(* y 2)
2
(* -3 x)
-3

Outputs
(+ (* x 3) (+ z (* y 2)))
(+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))
x
3
#s(literal 3 binary64)
(+ z (* y 2))
(+.f64 z (*.f64 y #s(literal 2 binary64)))
z
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
z
(+ z x)
(+.f64 x z)
z
x
(+ (* 3 x) z)
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
x
z
(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
(+.f64 z (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))
z
(/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x)))
(/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))
(- (* (* y y) 4) (* (* x x) 9))
(+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64)))
(* (* y y) 4)
(.f64 y (.f64 y #s(literal 4 binary64)))
(* y y)
(*.f64 y y)
y
4
#s(literal 4 binary64)
(* (* x x) 9)
(.f64 (.f64 x x) #s(literal 9 binary64))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(+ (* y 2) (* -3 x))
(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)

localize204.0ms (2.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	96.1%	(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	accuracy	53.8%	(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 z (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))

Results

97.0ms	209×	0	valid
20.0ms	25×	1	valid
17.0ms	12×	3	valid
7.0ms	7×	2	valid
4.0ms	2×	5	exit
2.0ms	1×	4	valid

Compiler

Compiled 129 to 24 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 18.0ms (40% of total)

ival-add: 10.0ms (22.2% of total)

backward-pass: 6.0ms (13.3% of total)

compiled-spec: 5.0ms (11.1% of total)

ival-div: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.4% of total)

const: 1.0ms (2.2% of total)

series21.0ms (0.3%)

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (+ (* x 3) (+ z (* y 2)))>
#<alt (+ z (* y 2))>
#<alt (* y 2)>
#<alt (+ z x)>
#<alt (+ (* 3 x) z)>
#<alt (* 3 x)>
#<alt (+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))>
#<alt (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x)))>
#<alt (- (* (* y y) 4) (* (* x x) 9))>
#<alt (* (* y y) 4)>
#<alt (* (* x x) 9)>
#<alt (+ (* y 2) (* -3 x))>

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

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
3.0ms	x	@	0	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
2.0ms	x	@	0	(/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x)))
1.0ms	z	@	0	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
1.0ms	x	@	inf	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))

rewrite471.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

3664×	`/-lowering-/.f32`
3664×	`/-lowering-/.f64`
3564×	`-lowering-.f32`
3564×	`-lowering-.f64`
2198×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	154	59
2	1579	59
0	8898	59

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 528

Calls

Call 1

Inputs
(+ (* x 3) (+ z (* y 2)))
(+ z (* y 2))
(* y 2)
(+ z x)
(+ (* 3 x) z)
(* 3 x)
(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x))))
(/ (- (* (* y y) 4) (* (* x x) 9)) (+ (* y 2) (* -3 x)))
(- (* (* y y) 4) (* (* x x) 9))
(* (* y y) 4)
(* (* x x) 9)
(+ (* y 2) (* -3 x))

Outputs
(+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 z (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) z))
(+.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal 3 binary64)))
(+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) z)
(+.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal 2 binary64)))
(+.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))) z)
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) z))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))) (-.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (*.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 z (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))
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(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (+.f64 (.f64 (.f64 x x) #s(literal -9 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 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) (.f64 y #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -729 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x #s(literal -3 binary64)) (-.f64 (.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))

simplify316.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
2926×	`+-lowering-+.f64`
2926×	`+-lowering-+.f32`
1684×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	2052
1	832	1853
2	2734	1777
0	8610	1777

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(+ z (* 2 y))
(+.f64 z (*.f64 #s(literal 2 binary64) y))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)))
(+ z (+ (* 2 y) (* 3 x)))
(+.f64 z (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
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(.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* x (+ 3 (* 2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* x (+ 3 (* 2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(- (* 4 (pow y 2)) (* 9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(- (* 4 (pow y 2)) (* 9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(- (* 4 (pow y 2)) (* 9 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 4 (* -9 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 y y))))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(+ (* -9 (pow x 2)) (* 4 (pow y 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(+ (* -9 (pow x 2)) (* 4 (pow y 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(+ (* -9 (pow x 2)) (* 4 (pow y 2)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 4 binary64) (.f64 y y)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* (pow x 2) (- (* 4 (/ (pow y 2) (pow x 2))) 9))
(.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x))))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 4 (pow y 2))
(.f64 #s(literal 4 binary64) (.f64 y y))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* -3 (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* y (+ 2 (* -3 (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* y (+ 2 (* -3 (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(+ (* -3 x) (* 2 y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ y x)) 3))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))
(* x (- (* 2 (/ y x)) 3))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))
(* x (- (* 2 (/ y x)) 3))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal -3 binary64)))

eval105.0ms (1.3%)

Compiler: Compiled 23962 to 1714 computations (92.8% saved)

prune106.0ms (1.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	801	5	806
Fresh	1	7	8
Picked	2	3	5
Done	0	0	0
Total	804	15	819

Accuracy

100.0%

Counts

819 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	65.5%	(fma.f64 x #s(literal 3 binary64) z)
	43.4%	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 z x) (+.f64 z x))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 z x)))
✓	65.5%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
▶	67.6%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
	67.6%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
▶	67.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	40.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	57.4%	(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
▶	86.4%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64)))))
✓	39.1%	(+.f64 z x)
▶	33.7%	(*.f64 #s(literal 3 binary64) x)
	36.0%	(*.f64 #s(literal 2 binary64) y)
✓	34.1%	z
▶	7.8%	x

Compiler

Compiled 294 to 203 computations (31% saved)

simplify171.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1696×	`sum4-define`
1538×	`/-lowering-/.f32`
1538×	`/-lowering-/.f64`
1470×	`-lowering-.f32`
1470×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	40	75
2	86	71
3	182	71
4	423	66
5	859	65
6	1844	65
7	4701	65
0	8282	65

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize106.0ms (1.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 y x))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal -3 binary64)))
✓	accuracy	100.0%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64)))))
✓	accuracy	99.6%	(*.f64 (/.f64 x y) #s(literal -3 binary64))
✓	accuracy	86.7%	(.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64))))

Results

52.0ms	217×	0	valid
13.0ms	8×	3	valid
12.0ms	21×	1	valid
6.0ms	8×	2	valid
3.0ms	2×	5	exit

Compiler

Compiled 79 to 18 computations (77.2% saved)

Precisions

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

ival-mult: 12.0ms (42.9% of total)

ival-add: 6.0ms (21.4% of total)

ival-div: 4.0ms (14.3% of total)

backward-pass: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.1% of total)

const: 1.0ms (3.6% of total)

series14.0ms (0.2%)

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ (* 2 (+ y x)) x)
1.0ms	z	@	0	(+ z (* y (- 2 (* (/ x y) -3))))
1.0ms	y	@	-inf	(+ z (* y (- 2 (* (/ x y) -3))))
1.0ms	x	@	inf	(+ z (* y (- 2 (* (/ x y) -3))))
0.0ms	y	@	0	(+ z (* y (- 2 (* (/ x y) -3))))

rewrite299.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4032×	`-lowering-.f32`
4032×	`-lowering-.f64`
3420×	`/-lowering-/.f32`
3420×	`/-lowering-/.f64`
1714×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	106	55
2	928	52
0	8318	52

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 290

Calls

Call 1

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

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

simplify170.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2468×	`-lowering-.f32`
2468×	`-lowering-.f64`
1372×	`fma-lowering-fma.f32`
1372×	`fma-lowering-fma.f64`
1286×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1305
1	398	1185
2	1107	1063
3	4118	1060
0	8308	1060

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval113.0ms (1.4%)

Compiler: Compiled 11009 to 1126 computations (89.8% saved)

prune50.0ms (0.6%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	512	6	518
Fresh	5	2	7
Picked	0	5	5
Done	0	3	3
Total	517	16	533

Accuracy

100.0%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	65.5%	(fma.f64 x #s(literal 3 binary64) z)
	40.9%	(+.f64 (*.f64 y #s(literal 2 binary64)) x)
▶	67.6%	(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
✓	65.5%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	67.6%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	67.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	86.4%	(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))))
✓	86.4%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64)))))
▶	86.4%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y)))))
	86.4%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))))
✓	39.1%	(+.f64 z x)
▶	36.0%	(*.f64 y #s(literal 2 binary64))
✓	33.7%	(*.f64 #s(literal 3 binary64) x)
✓	34.1%	z
✓	7.8%	x

Compiler

Compiled 232 to 174 computations (25% saved)

simplify185.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))
✓	cost-diff	256	(*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64)))))
✓	cost-diff	256	(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal -3 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -3 binary64) y)))
✓	cost-diff	128	(.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y))))
✓	cost-diff	128	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y)))))

Rules

1974×	`fma-lowering-fma.f32`
1974×	`fma-lowering-fma.f64`
1784×	`fmm-def`
1512×	`fma-define`
1342×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	126
1	49	124
2	105	116
3	275	116
4	735	104
5	1625	104
6	3254	104
7	4757	104
8	7138	104
0	8041	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize228.0ms (2.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))))
✓	accuracy	99.7%	(/.f64 (/.f64 y x) #s(literal -3 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64)))
✓	accuracy	86.7%	(*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64)))))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -3 binary64) y)))
✓	accuracy	100.0%	(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y)))))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal -3 binary64) y))
✓	accuracy	86.7%	(.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y))))

Results

132.0ms	217×	0	valid
24.0ms	21×	1	valid
24.0ms	8×	3	valid
9.0ms	8×	2	valid
4.0ms	2×	5	exit

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

backward-pass: 17.0ms (29.6% of total)

ival-mult: 15.0ms (26.1% of total)

ival-div: 10.0ms (17.4% of total)

ival-add: 6.0ms (10.5% of total)

compiled-spec: 5.0ms (8.7% of total)

ival-sub: 3.0ms (5.2% of total)

const: 1.0ms (1.7% of total)

series12.0ms (0.2%)

Counts

14 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(+ (* x 3) (* y 2))
1.0ms	y	@	0	(/ (/ y x) -3)
1.0ms	x	@	0	(/ (/ y x) -3)
0.0ms	y	@	inf	(/ (/ y x) -3)
0.0ms	y	@	-inf	(/ (/ y x) -3)

rewrite320.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5226×	`-lowering-.f32`
5226×	`-lowering-.f64`
2126×	`/-lowering-/.f32`
2126×	`/-lowering-/.f64`
1612×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	147	88
2	1249	82
0	8608	82

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 476

Calls

Call 1

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

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

simplify193.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2428×	`-lowering-.f32`
2428×	`-lowering-.f64`
1492×	`fma-define`
1040×	`fnmadd-define`
904×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	2136
1	219	1914
2	581	1914
3	1701	1658
4	5565	1658
0	8131	1658

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval166.0ms (2.1%)

Compiler: Compiled 15801 to 1051 computations (93.3% saved)

prune76.0ms (1%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	812	2	814
Fresh	1	2	3
Picked	2	3	5
Done	1	7	8
Total	816	14	830

Accuracy

100.0%

Counts

830 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	65.5%	(fma.f64 x #s(literal 3 binary64) z)
	40.9%	(+.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	67.6%	(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
✓	65.5%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	67.6%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	67.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	86.4%	(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) #s(literal -1/3 binary64)))))
	52.0%	(+.f64 z (.f64 y (.f64 (/.f64 x y) #s(literal 3 binary64))))
✓	39.1%	(+.f64 z x)
✓	36.0%	(*.f64 y #s(literal 2 binary64))
✓	33.7%	(*.f64 #s(literal 3 binary64) x)
✓	34.1%	z
✓	7.8%	x

Compiler

Compiled 370 to 175 computations (52.7% saved)

regimes68.0ms (0.9%)

Counts

28 → 1

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 3 binary64) x)
(*.f64 y #s(literal 2 binary64))
(+.f64 z x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(+.f64 (*.f64 #s(literal 3 binary64) x) z)
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
(+.f64 z (.f64 y (.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y)))))
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64)))))
(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) #s(literal -1/3 binary64)))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))))
(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))))
(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))))
(+.f64 z (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x)))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 z x) (+.f64 z x))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 z x)))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))

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

Calls

4 calls:

35.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
9.0ms	z
9.0ms	y
8.0ms	x

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes37.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

Inputs
x
z
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 3 binary64) x)
(*.f64 y #s(literal 2 binary64))
(+.f64 z x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(+.f64 (*.f64 #s(literal 3 binary64) x) z)
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
(+.f64 z (.f64 y (.f64 (/.f64 x y) #s(literal 3 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal -3 binary64) y)))))
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 (/.f64 x y) #s(literal -3 binary64)))))
(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) #s(literal -1/3 binary64)))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 z (.f64 y (-.f64 #s(literal 2 binary64) (.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))))))
(+.f64 z (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal -3 binary64))))))
(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))))
(+.f64 z (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x)))))
(+.f64 z (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 y x) (+.f64 y x))) (.f64 (+.f64 z x) (+.f64 z x))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 z x)))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))

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

Calls

4 calls:

9.0ms	y
9.0ms	z
9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
8.0ms	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)

regimes17.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
89.2%	3	`x`
87.5%	3	`y`
88.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
77.1%	5	`y`
71.1%	3	`z`
82.6%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
61.3%	3	`z`
66.8%	7	`y`
60.3%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
66.2%	7	`y`
60.9%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.1%	5	`x`
64.6%	7	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.6%	3	`z`
39.1%	2	`x`
54.2%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

3 calls:

16.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
34.1%	1	`x`
34.1%	1	`y`
34.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
7.8%	1	`x`
7.8%	1	`z`
7.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.560307970100016e-14	6.900081538373653e-8
14.0ms	-2.354872177600778e+28	-2.605637201676381e+26

Results

14.0ms	231×	0	valid
2.0ms	10×	2	valid
2.0ms	15×	1	valid

Compiler

Compiled 308 to 237 computations (23.1% saved)

Precisions

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

ival-add: 7.0ms (87.2% of total)

backward-pass: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.0358989409658849e+150	2.00783127397498e+159
12.0ms	-2.354872177600778e+28	-2.605637201676381e+26

Results

13.0ms	224×	0	valid
4.0ms	20×	1	valid
4.0ms	3×	3	valid
2.0ms	9×	2	valid

Compiler

Compiled 276 to 221 computations (19.9% saved)

Precisions

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

ival-add: 7.0ms (57.5% of total)

backward-pass: 5.0ms (41.1% of total)

const: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.975580886532731e+93	9.87641633548519e+93
18.0ms	-1.2090904305840455e+96	-6.26533711845818e+72

Results

14.0ms	224×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 260 to 193 computations (25.8% saved)

Precisions

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

ival-add: 7.0ms (90.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch126.0ms (1.6%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.3105152236956454e+90	2.738579412075427e+95
13.0ms	2.4511074143060973e-104	7.054661933052712e-103
25.0ms	2.615141742239536e-253	3.938285534180614e-241
42.0ms	-3.526756024603747e-222	-9.76429667963088e-231
8.0ms	-2.6767084637682143e-46	-1.417243122501575e-46
15.0ms	-8.54938563193046e+113	-1.2672502250806863e+107

Results

50.0ms	683×	0	valid
9.0ms	53×	1	valid
5.0ms	22×	2	valid
3.0ms	10×	3	valid

Compiler

Compiled 692 to 541 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 31.0ms (88.9% of total)

backward-pass: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

bsearch93.0ms (1.2%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.3105152236956454e+90	2.738579412075427e+95
13.0ms	2.4511074143060973e-104	7.054661933052712e-103
20.0ms	2.615141742239536e-253	3.938285534180614e-241
16.0ms	-3.526756024603747e-222	-9.76429667963088e-231
8.0ms	-2.6767084637682143e-46	-1.417243122501575e-46
15.0ms	-8.54938563193046e+113	-1.2672502250806863e+107

Results

49.0ms	698×	0	valid
7.0ms	46×	1	valid
4.0ms	17×	2	valid
2.0ms	7×	3	valid

Compiler

Compiled 596 to 493 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 27.0ms (88.8% of total)

backward-pass: 3.0ms (9.9% of total)

const: 1.0ms (3.3% of total)

bsearch16.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.975580886532731e+93	9.87641633548519e+93
8.0ms	-3.868565925315511e+70	-2.3317695619415554e+70

Results

7.0ms	117×	0	valid
1.0ms	10×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 116 to 93 computations (19.8% saved)

Precisions

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

ival-add: 3.0ms (80.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	169
1	99	169

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1199999999999999988457275392 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 8317409638948649/38685626227668133590597632 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -22999999999999998381468418048 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 1450000000000000052085375540327025572577315916772556539172545383374201443148854913674445138851045260507704932422860954492137221236055011196922833769596977152 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 z #s(literal -115999999999999996871498693004990439845845954860079968986980231829574782713593856 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 8099999999999999830291703926492527787581943393015123085798436698240008006847288963015639040000 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) y) x) (+.f64 z x)))
(if (<=.f64 y #s(literal -127999999999999992097062505636093253161859502652431933221685275204975550953548763345513027520500256678608896 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -2442545827273665/12855504354071922204335696738729300820177623950262342682411008 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal -4292402021593/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 5159126280621731/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 6399999999999999966423460812275515668210855068843659239804268462842131746451702088757936128 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))))))
(if (<=.f64 y #s(literal -980000000000000028104199779326483722197874262990631994467403012756320964660217266279670656658976809173385216 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)) z (if (<=.f64 y #s(literal -232153590495145/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 599640384150289/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) z (if (<=.f64 y #s(literal 6657362966942811/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 1599999999999999991605865203068878917052713767210914809951067115710532936612925522189484032 binary64)) z (.f64 #s(literal 2 binary64) y)))))))
(if (<=.f64 z #s(literal -33000000000000001627289630157520329984052841943180632722731374039007232 binary64)) z (if (<=.f64 z #s(literal 7599999999999999634914921583208641615580319217507291649997572805111103541216072395675282702336 binary64)) (*.f64 #s(literal 2 binary64) y) z))
z
x

Outputs
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 z (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1199999999999999988457275392 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 8317409638948649/38685626227668133590597632 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -1199999999999999988457275392 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 8317409638948649/38685626227668133590597632 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -22999999999999998381468418048 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 1450000000000000052085375540327025572577315916772556539172545383374201443148854913674445138851045260507704932422860954492137221236055011196922833769596977152 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -22999999999999998381468418048 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 1450000000000000052085375540327025572577315916772556539172545383374201443148854913674445138851045260507704932422860954492137221236055011196922833769596977152 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -115999999999999996871498693004990439845845954860079968986980231829574782713593856 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 8099999999999999830291703926492527787581943393015123085798436698240008006847288963015639040000 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) y) x) (+.f64 z x)))
(if (<=.f64 z #s(literal -115999999999999996871498693004990439845845954860079968986980231829574782713593856 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 8099999999999999830291703926492527787581943393015123085798436698240008006847288963015639040000 binary64)) (+.f64 x (*.f64 y #s(literal 2 binary64))) (+.f64 x z)))
(if (<=.f64 y #s(literal -127999999999999992097062505636093253161859502652431933221685275204975550953548763345513027520500256678608896 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -2442545827273665/12855504354071922204335696738729300820177623950262342682411008 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal -4292402021593/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 5159126280621731/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 6399999999999999966423460812275515668210855068843659239804268462842131746451702088757936128 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))))))
(if (<=.f64 y #s(literal -127999999999999992097062505636093253161859502652431933221685275204975550953548763345513027520500256678608896 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal -2442545827273665/12855504354071922204335696738729300820177623950262342682411008 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal -4292402021593/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 y #s(literal 5159126280621731/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 y #s(literal 6399999999999999966423460812275515668210855068843659239804268462842131746451702088757936128 binary64)) (+.f64 x z) (.f64 y #s(literal 2 binary64))))))))
(if (<=.f64 y #s(literal -980000000000000028104199779326483722197874262990631994467403012756320964660217266279670656658976809173385216 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)) z (if (<=.f64 y #s(literal -232153590495145/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 599640384150289/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) z (if (<=.f64 y #s(literal 6657362966942811/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 1599999999999999991605865203068878917052713767210914809951067115710532936612925522189484032 binary64)) z (.f64 #s(literal 2 binary64) y)))))))
(if (<=.f64 y #s(literal -980000000000000028104199779326483722197874262990631994467403012756320964660217266279670656658976809173385216 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal -5399311828710207/25711008708143844408671393477458601640355247900524685364822016 binary64)) z (if (<=.f64 y #s(literal -232153590495145/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 y #s(literal 599640384150289/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) z (if (<=.f64 y #s(literal 6657362966942811/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 y #s(literal 1599999999999999991605865203068878917052713767210914809951067115710532936612925522189484032 binary64)) z (.f64 y #s(literal 2 binary64))))))))
(if (<=.f64 z #s(literal -33000000000000001627289630157520329984052841943180632722731374039007232 binary64)) z (if (<=.f64 z #s(literal 7599999999999999634914921583208641615580319217507291649997572805111103541216072395675282702336 binary64)) (*.f64 #s(literal 2 binary64) y) z))
(if (<=.f64 z #s(literal -33000000000000001627289630157520329984052841943180632722731374039007232 binary64)) z (if (<=.f64 z #s(literal 7599999999999999634914921583208641615580319217507291649997572805111103541216072395675282702336 binary64)) (*.f64 y #s(literal 2 binary64)) z))
z
x

soundness1.1s (13.8%)

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
2926×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	114	46
2	1414	45
0	8280	45
0	144	1286
1	480	1235
2	1371	1163
3	4146	1163
0	8397	1163
0	255	2052
1	832	1853
2	2734	1777
0	8610	1777
0	8	9
1	25	8
2	111	8
3	371	8
4	1016	7
5	1355	7
6	1383	7
0	1383	7

Stop Event

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

Compiler

Compiled 461 to 286 computations (38% saved)

preprocess57.0ms (0.7%)

Compiler: Compiled 388 to 164 computations (57.7% saved)

analyze0.0ms (0%)

sample1.4s (17.6%)

preprocess99.0ms (1.3%)

explain107.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.5%)

localize122.0ms (1.6%)

series10.0ms (0.1%)

rewrite451.0ms (5.8%)

simplify248.0ms (3.2%)

eval79.0ms (1%)

prune115.0ms (1.5%)

simplify201.0ms (2.6%)

localize204.0ms (2.6%)

series21.0ms (0.3%)

rewrite471.0ms (6%)

simplify316.0ms (4%)

eval105.0ms (1.3%)

prune106.0ms (1.4%)

simplify171.0ms (2.2%)

localize106.0ms (1.3%)

series14.0ms (0.2%)

rewrite299.0ms (3.8%)

simplify170.0ms (2.2%)

eval113.0ms (1.4%)

prune50.0ms (0.6%)

simplify185.0ms (2.4%)

localize228.0ms (2.9%)

series12.0ms (0.2%)

rewrite320.0ms (4.1%)

simplify193.0ms (2.5%)

eval166.0ms (2.1%)

prune76.0ms (1%)

regimes68.0ms (0.9%)

regimes37.0ms (0.5%)

regimes17.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes20.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch33.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch126.0ms (1.6%)

bsearch93.0ms (1.2%)

bsearch16.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.1s (13.8%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling