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)

sample845.0ms (10.9%)

Results

496.0ms	7630×	0	valid
81.0ms	342×	1	valid
37.0ms	202×	2	valid
19.0ms	82×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-add: 332.0ms (92.7% of total)

backward-pass: 19.0ms (5.3% of total)

const: 7.0ms (2% of total)

Bogosity

preprocess81.0ms (1.1%)

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))

explain97.0ms (1.3%)

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

32.0ms	458×	0	valid
7.0ms	24×	1	valid
7.0ms	28×	2	valid
1.0ms	2×	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: 14.0ms (83.5% of total)

backward-pass: 2.0ms (11.9% of total)

const: 1.0ms (6% 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)

simplify33.0ms (0.4%)

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

localize60.0ms (0.8%)

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	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))

Results

29.0ms	224×	0	valid
7.0ms	15×	2	valid
3.0ms	11×	1	valid
3.0ms	5×	3	valid
1.0ms	1×	5	exit

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 10.0ms (54.4% of total)

ival-mult: 4.0ms (21.8% of total)

backward-pass: 3.0ms (16.3% of total)

const: 1.0ms (5.4% of total)

series9.0ms (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
1.0ms	z	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	z	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	x	@	-inf	(+ z (+ (* y 2) (* x 3)))
0.0ms	y	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	y	@	inf	(+ z (+ (* y 2) (* x 3)))

rewrite406.0ms (5.3%)

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	1404	45
0	8199	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 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))))))
(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 (.f64 y #s(literal 2 binary64)) x) (+.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x))) (.f64 (+.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 x x))) (.f64 (+.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) 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 x (-.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 x (-.f64 (.f64 y #s(literal 2 binary64)) 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 x (-.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) 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)))

simplify232.0ms (3%)

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)

prune77.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	668	12	680
Fresh	0	0	0
Picked	1	1	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))))
	69.1%	(+.f64 (+.f64 (+.f64 x x) z) x)
	69.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	69.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
▶	69.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
▶	61.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	59.3%	(+.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))))
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
	36.8%	(+.f64 z x)
	79.4%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) z)))
▶	39.7%	(*.f64 #s(literal 3 binary64) x)
	32.3%	(*.f64 #s(literal 2 binary64) y)
▶	30.9%	z

Compiler

Compiled 250 to 183 computations (26.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

24×	`fma-lowering-fma.f32`
24×	`fma-define`
24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
24×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	26	51
2	41	51
3	46	51
0	46	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize136.0ms (1.8%)

Localize:

Found 9 expressions of interest:

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

103.0ms	229×	0	valid
5.0ms	12×	2	valid
3.0ms	10×	1	valid
2.0ms	2×	5	exit
2.0ms	3×	3	valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.4% of total)

ival-add: 6.0ms (28.8% of total)

compiled-spec: 4.0ms (19.2% of total)

backward-pass: 2.0ms (9.6% of total)

const: 1.0ms (4.8% of total)

series4.0ms (0%)

Counts

7 → 144

Calls

Call 1

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

Calls

36 calls:

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

rewrite304.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4522×	`-lowering-.f32`
4522×	`-lowering-.f64`
2674×	`/-lowering-/.f32`
2674×	`/-lowering-/.f64`
2558×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	80	30
2	735	30
0	8449	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 211

Calls

Call 1

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

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

simplify214.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3324×	`-lowering-.f32`
3324×	`-lowering-.f64`
1346×	`fma-define`
1162×	`/-lowering-/.f32`
1162×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	684
1	227	646
2	610	619
3	1661	619
4	4705	619
0	8111	619

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval42.0ms (0.5%)

Compiler: Compiled 7220 to 490 computations (93.2% saved)

prune40.0ms (0.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	380	3	383
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	382	14	396

Accuracy

100.0%

Counts

396 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	33.3%	(/.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 x #s(literal -3 binary64))))
	69.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))
▶	69.1%	(+.f64 (+.f64 (+.f64 x x) z) x)
▶	69.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	69.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	69.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	61.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
	36.8%	(+.f64 z x)
▶	79.4%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) z)))
✓	39.7%	(*.f64 #s(literal 3 binary64) x)
▶	32.3%	(*.f64 #s(literal 2 binary64) y)
✓	30.9%	z

Compiler

Compiled 238 to 175 computations (26.5% saved)

simplify163.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2228×	`-lowering-.f32`
2228×	`-lowering-.f64`
1634×	`sum3-define`
1318×	`fma-define`
1156×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	137
1	65	137
2	114	136
3	184	133
4	290	133
5	581	132
6	1441	132
7	4317	132
8	5705	132
9	7497	132
0	8007	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize156.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	95.6%	(+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	accuracy	58.9%	(/.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 x #s(literal -3 binary64))))
✓	accuracy	100.0%	(+.f64 (+.f64 x x) z)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 x x) z) 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 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) z)
✓	accuracy	80.8%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) z)))

Results

65.0ms	214×	0	valid
23.0ms	11×	5	exit
10.0ms	11×	2	valid
9.0ms	8×	3	valid
7.0ms	12×	1	valid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 26.0ms (44.5% of total)

ival-add: 18.0ms (30.8% of total)

backward-pass: 7.0ms (12% of total)

ival-div: 6.0ms (10.3% of total)

const: 1.0ms (1.7% of total)

series25.0ms (0.3%)

Counts

16 → 348

Calls

Call 1

Inputs
#<alt (* z (+ 1 (/ (+ (* 2 y) (* 3 x)) z)))>
#<alt (+ 1 (/ (+ (* 2 y) (* 3 x)) z))>
#<alt (/ (+ (* 2 y) (* 3 x)) z)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 2 y)>
#<alt (+ (* 3 x) z)>
#<alt (* 3 x)>
#<alt (+ (+ (+ x x) z) x)>
#<alt (+ (+ x x) z)>
#<alt (+ x x)>
#<alt (/ (+ (* (* y y) 4) (* (* x x) -9)) (+ (* y 2) (* x -3)))>
#<alt (+ (* (* y y) 4) (* (* x x) -9))>
#<alt (* (* y y) 4)>
#<alt (* y y)>
#<alt (* (* x x) -9)>
#<alt (+ (* y 2) (* x -3))>

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

87 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (+ (* (* y y) 4) (* (* x x) -9)) (+ (* y 2) (* x -3)))
3.0ms	x	@	0	(/ (+ (* (* y y) 4) (* (* x x) -9)) (+ (* y 2) (* x -3)))
2.0ms	y	@	0	(* z (+ 1 (/ (+ (* 2 y) (* 3 x)) z)))
1.0ms	y	@	0	(/ (+ (* (* y y) 4) (* (* x x) -9)) (+ (* y 2) (* x -3)))
1.0ms	z	@	0	(* z (+ 1 (/ (+ (* 2 y) (* 3 x)) z)))

rewrite396.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3798×	`-lowering-.f32`
3798×	`-lowering-.f64`
2954×	`/-lowering-/.f32`
2954×	`/-lowering-/.f64`
2238×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	105
1	171	104
2	1760	101
0	8508	101

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 557

Calls

Call 1

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

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

simplify211.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3452×	`-lowering-.f32`
3452×	`-lowering-.f64`
1524×	`fma-lowering-fma.f32`
1524×	`fma-lowering-fma.f64`
1284×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2272
1	542	2199
2	1693	2142
3	5532	1960
0	8535	1960

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

eval122.0ms (1.6%)

Compiler: Compiled 20866 to 1990 computations (90.5% saved)

prune94.0ms (1.2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	931	2	933
Fresh	0	4	4
Picked	2	3	5
Done	0	5	5
Total	933	14	947

Accuracy

100.0%

Counts

947 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	19.5%	(/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))
▶	69.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))
✓	69.1%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	69.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
▶	69.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	69.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	61.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
▶	36.8%	(+.f64 z x)
▶	26.2%	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
✓	39.7%	(*.f64 #s(literal 3 binary64) x)
✓	32.3%	(*.f64 #s(literal 2 binary64) y)
✓	30.9%	z

Compiler

Compiled 190 to 140 computations (26.3% saved)

simplify292.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 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 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	cost-diff	256	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
✓	cost-diff	0	(+.f64 z x)
✓	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)

Rules

7056×	`+-lowering-+.f64`
7056×	`+-lowering-+.f32`
5570×	`-lowering-.f32`
5570×	`-lowering-.f64`
3516×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	115
1	59	115
2	113	115
3	179	103
4	246	103
5	582	103
6	2114	103
7	3219	103
8	4200	103
9	4390	103
10	4492	103
11	4510	103
12	4510	103
0	9054	103

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 2 (+ y x)) x)
(* 2 (+ y x))
2
(+ y x)
y
x
(+ z x)
z
x
(* z (/ (* 3 x) z))
z
(/ (* 3 x) z)
(* 3 x)
3
x
(/ 1 (/ 1 (+ (* x 3) (* y 2))))
1
(/ 1 (+ (* x 3) (* y 2)))
(+ (* x 3) (* y 2))
(* x 3)
x
3
(* y 2)
y
2
(/ (* -9 (* x x)) (+ (* y 2) (* x -3)))
(* -9 (* x x))
-9
(* x x)
x
(+ (* y 2) (* x -3))
(* y 2)
y
2
(* x -3)
-3

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

localize741.0ms (9.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	accuracy	79.9%	(/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(/.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	82.4%	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 y x))

Results

659.0ms	81×	5	exit
42.0ms	175×	0	valid

Compiler

Compiled 122 to 26 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-div: 99.0ms (62% of total)

ival-mult: 29.0ms (18.2% of total)

backward-pass: 18.0ms (11.3% of total)

ival-add: 12.0ms (7.5% of total)

const: 2.0ms (1.3% of total)

series11.0ms (0.1%)

Counts

16 → 324

Calls

Call 1

Inputs
#<alt (+ (* 2 (+ y x)) x)>
#<alt (* 2 (+ y x))>
#<alt (+ y x)>
#<alt (+ z x)>
#<alt (* z (/ (* 3 x) z))>
#<alt (/ (* 3 x) z)>
#<alt (* 3 x)>
#<alt (/ 1 (/ 1 (+ (* x 3) (* y 2))))>
#<alt (/ 1 (+ (* x 3) (* y 2)))>
#<alt (+ (* x 3) (* y 2))>
#<alt (* x 3)>
#<alt (/ (* -9 (* x x)) (+ (* y 2) (* x -3)))>
#<alt (* -9 (* x x))>
#<alt (* x x)>
#<alt (+ (* y 2) (* x -3))>
#<alt (* x -3)>

Outputs
#<alt (+ x (* 2 x))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* 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)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 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 (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<alt (* 3 (/ x z))>
#<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 (* 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 (/ 1/2 y)>
#<alt (+ (* -3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* 9/8 (/ x (pow y 3))) (* 3/4 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -27/16 (/ x (pow y 4))) (* 9/8 (/ 1 (pow y 3))))) (* 3/4 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 1/3 (* 4/27 (/ (pow y 2) (pow x 2)))) (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 1/3 (* -8/81 (/ (pow y 3) (pow x 3)))) (+ (* -4/27 (/ (pow y 2) (pow x 2))) (* 2/9 (/ y x)))) x)>
#<alt (/ 1/3 x)>
#<alt (* -1 (/ (- (* 2/9 (/ y x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4/27 (/ (pow y 2) x)) (* 2/9 y)) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/81 (/ (pow y 3) x)) (* 4/27 (pow y 2))) x)) (* 2/9 y)) x)) 1/3) x))>
#<alt (/ 1/3 x)>
#<alt (+ (* -2/9 (/ y (pow x 2))) (* 1/3 (/ 1 x)))>
#<alt (+ (* y (- (* 4/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -8/81 (/ y (pow x 4))) (* 4/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -3/4 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* 9/8 (/ (pow x 2) (pow y 2)))) (* 3/4 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* -27/16 (/ (pow x 3) (pow y 3)))) (+ (* -9/8 (/ (pow x 2) (pow y 2))) (* 3/4 (/ x y)))) y)>
#<alt (/ 1/2 y)>
#<alt (* -1 (/ (- (* 3/4 (/ x y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ (pow x 2) y)) (* 3/4 x)) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ (pow x 3) y)) (* 9/8 (pow x 2))) y)) (* 3/4 x)) y)) 1/2) 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 (* -9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* -27/4 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (- (* x (- (* -81/8 (/ x (pow y 3))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -243/16 (/ x (pow y 4))) (* 81/8 (/ 1 (pow y 3))))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (- (+ 3 (* 4/3 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))))>
#<alt (* x (- (+ 3 (* 8/9 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -4/3 (/ (pow y 2) (pow x 2))))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 4/3 (/ (pow y 2) x)) (* -2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -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 (+ (* 3 x) (* y (+ 2 (* 4/3 (/ y x)))))>
#<alt (+ (* 3 x) (* y (+ 2 (* y (+ (* 8/9 (/ y (pow x 2))) (* 4/3 (/ 1 x)))))))>
#<alt (* -9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))) y)>
#<alt (/ (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2)))) y)>
#<alt (/ (+ (* -243/16 (/ (pow x 5) (pow y 3))) (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))))) y)>
#<alt (* -9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* 9/2 (pow x 2)) (* 27/4 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -81/8 (/ (pow x 4) y)) (* -27/4 (pow x 3))) y)) (* 9/2 (pow x 2))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -27/4 (pow x 3)) (* -1 (/ (+ (* 81/8 (pow x 4)) (* 243/16 (/ (pow x 5) y))) y))) y)) (* 9/2 (pow x 2))) y))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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)))))>
#<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)>

Calls

81 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ (* -9 (* x x)) (+ (* y 2) (* x -3)))
0.0ms	z	@	inf	(/ (* 3 x) z)
0.0ms	x	@	0	(/ (* -9 (* x x)) (+ (* y 2) (* x -3)))
0.0ms	y	@	0	(/ 1 (+ (* x 3) (* y 2)))
0.0ms	x	@	0	(/ 1 (+ (* x 3) (* y 2)))

rewrite384.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3848×	`-lowering-.f32`
3848×	`-lowering-.f64`
3388×	`/-lowering-/.f32`
3388×	`/-lowering-/.f64`
2118×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	144	83
2	1167	81
0	8324	81

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 563

Calls

Call 1

Inputs
(+ (* 2 (+ y x)) x)
(* 2 (+ y x))
(+ y x)
(+ z x)
(* z (/ (* 3 x) z))
(/ (* 3 x) z)
(* 3 x)
(/ 1 (/ 1 (+ (* x 3) (* y 2))))
(/ 1 (+ (* x 3) (* y 2)))
(+ (* x 3) (* y 2))
(* x 3)
(/ (* -9 (* x x)) (+ (* y 2) (* x -3)))
(* -9 (* x x))
(* x x)
(+ (* y 2) (* x -3))
(* x -3)

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

simplify366.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

6422×	`-lowering-.f32`
6422×	`-lowering-.f64`
2232×	`+-lowering-+.f64`
2232×	`+-lowering-+.f32`
1436×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	2131
1	1130	2049
2	3153	2015
0	8428	2015

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* 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)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 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))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 (/ x z))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 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)))
(/ 1/2 y)
(+ (* -3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+ (* x (- (* 9/8 (/ x (pow y 3))) (* 3/4 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(+ (* x (- (* x (+ (* -27/16 (/ x (pow y 4))) (* 9/8 (/ 1 (pow y 3))))) (* 3/4 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(/ 1/3 x)
(/ (+ 1/3 (* -2/9 (/ y x))) x)
(/ (- (+ 1/3 (* 4/27 (/ (pow y 2) (pow x 2)))) (* 2/9 (/ y x))) x)
(/ (- (+ 1/3 (* -8/81 (/ (pow y 3) (pow x 3)))) (+ (* -4/27 (/ (pow y 2) (pow x 2))) (* 2/9 (/ y x)))) x)
(/ 1/3 x)
(* -1 (/ (- (* 2/9 (/ y x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 4/27 (/ (pow y 2) x)) (* 2/9 y)) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/81 (/ (pow y 3) x)) (* 4/27 (pow y 2))) x)) (* 2/9 y)) x)) 1/3) x))
(/ 1/3 x)
(+ (* -2/9 (/ y (pow x 2))) (* 1/3 (/ 1 x)))
(+ (* y (- (* 4/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))
(+ (* y (- (* y (+ (* -8/81 (/ y (pow x 4))) (* 4/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -3/4 (/ x y))) y)
(/ (- (+ 1/2 (* 9/8 (/ (pow x 2) (pow y 2)))) (* 3/4 (/ x y))) y)
(/ (- (+ 1/2 (* -27/16 (/ (pow x 3) (pow y 3)))) (+ (* -9/8 (/ (pow x 2) (pow y 2))) (* 3/4 (/ x y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 3/4 (/ x y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ (pow x 2) y)) (* 3/4 x)) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ (pow x 3) y)) (* 9/8 (pow x 2))) y)) (* 3/4 x)) y)) 1/2) 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)
(* -9/2 (/ (pow x 2) y))
(* (pow x 2) (- (* -27/4 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (- (* x (- (* -81/8 (/ x (pow y 3))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (- (* x (- (* x (- (* -243/16 (/ x (pow y 4))) (* 81/8 (/ 1 (pow y 3))))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (- (+ 3 (* 4/3 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))))
(* x (- (+ 3 (* 8/9 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -4/3 (/ (pow y 2) (pow x 2))))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* 4/3 (/ (pow y 2) x)) (* -2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -8/9 (/ (pow y 3) x)) (* 4/3 (pow y 2))) x)) (* -2 y)) x)) 3)))
(* 3 x)
(+ (* 2 y) (* 3 x))
(+ (* 3 x) (* y (+ 2 (* 4/3 (/ y x)))))
(+ (* 3 x) (* y (+ 2 (* y (+ (* 8/9 (/ y (pow x 2))) (* 4/3 (/ 1 x)))))))
(* -9/2 (/ (pow x 2) y))
(/ (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))) y)
(/ (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2)))) y)
(/ (+ (* -243/16 (/ (pow x 5) (pow y 3))) (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))))) y)
(* -9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* 9/2 (pow x 2)) (* 27/4 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -81/8 (/ (pow x 4) y)) (* -27/4 (pow x 3))) y)) (* 9/2 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -27/4 (pow x 3)) (* -1 (/ (+ (* 81/8 (pow x 4)) (* 243/16 (/ (pow x 5) y))) y))) y)) (* 9/2 (pow x 2))) y))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)

Outputs
(+ x (* 2 x))
(*.f64 x #s(literal 3 binary64))
(+ x (+ (* 2 x) (* 2 y)))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(+ x (+ (* 2 x) (* 2 y)))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(+ x (+ (* 2 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 (+ (* 2 (/ x y)) (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* 2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(* x (+ 3 (* 2 (/ y x))))
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(*.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))
(* -9/2 (/ (pow x 2) y))
(/.f64 (.f64 (.f64 x x) #s(literal -9/2 binary64)) y)
(* (pow x 2) (- (* -27/4 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 x #s(literal -27/4 binary64)) (.f64 y y)) (/.f64 #s(literal -9/2 binary64) y)))
(* (pow x 2) (- (* x (- (* -81/8 (/ x (pow y 3))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(.f64 x (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (/.f64 x (.f64 y (.f64 y y))) #s(literal -81/8 binary64)) (/.f64 #s(literal -27/4 binary64) (*.f64 y y)))) (/.f64 #s(literal -9/2 binary64) y))))
(* (pow x 2) (- (* x (- (* x (- (* -243/16 (/ x (pow y 4))) (* 81/8 (/ 1 (pow y 3))))) (* 27/4 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 x #s(literal -243/16 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -81/8 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal -27/4 binary64) (.f64 y y)))) (/.f64 #s(literal -9/2 binary64) y)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* 2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(* x (- (+ 3 (* 4/3 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 4/3 binary64)) x))) x)))
(* x (- (+ 3 (* 8/9 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -4/3 (/ (pow y 2) (pow x 2))))))
(.f64 x (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8/9 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 4/3 binary64)) x))) x))))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ (- (* 4/3 (/ (pow y 2) x)) (* -2 y)) x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 4/3 binary64)) x))) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -8/9 (/ (pow y 3) x)) (* 4/3 (pow y 2))) x)) (* -2 y)) x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4/3 binary64))) (/.f64 (.f64 (.f64 y (*.f64 y y)) #s(literal 8/9 binary64)) x)) x)) x)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(+ (* 2 y) (* 3 x))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
(+ (* 3 x) (* y (+ 2 (* 4/3 (/ y x)))))
(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 4/3 binary64)) x))))
(+ (* 3 x) (* y (+ 2 (* y (+ (* 8/9 (/ y (pow x 2))) (* 4/3 (/ 1 x)))))))
(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y (+.f64 #s(literal 2 binary64) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 8/9 binary64)) (*.f64 x x)) (/.f64 #s(literal 4/3 binary64) x))))))
(* -9/2 (/ (pow x 2) y))
(/.f64 (.f64 (.f64 x x) #s(literal -9/2 binary64)) y)
(/ (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))) y)
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 #s(literal -27/4 binary64) (.f64 x x))) y) (.f64 (*.f64 x x) #s(literal -9/2 binary64))) y)
(/ (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2)))) y)
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 #s(literal -27/4 binary64) (.f64 x x))) y) (+.f64 (/.f64 (.f64 #s(literal -81/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) (.f64 (.f64 x x) #s(literal -9/2 binary64)))) y)
(/ (+ (* -243/16 (/ (pow x 5) (pow y 3))) (+ (* -81/8 (/ (pow x 4) (pow y 2))) (+ (* -27/4 (/ (pow x 3) y)) (* -9/2 (pow x 2))))) y)
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 #s(literal -27/4 binary64) (.f64 x x))) y) (+.f64 (+.f64 (.f64 (.f64 x x) #s(literal -9/2 binary64)) (/.f64 (.f64 #s(literal -81/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) (/.f64 (.f64 #s(literal -243/16 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 y (*.f64 y y))))) y)
(* -9/2 (/ (pow x 2) y))
(/.f64 (.f64 (.f64 x x) #s(literal -9/2 binary64)) y)
(* -1 (/ (+ (* 9/2 (pow x 2)) (* 27/4 (/ (pow x 3) y))) y))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 #s(literal -27/4 binary64) (.f64 x x))) y) (.f64 (*.f64 x x) #s(literal -9/2 binary64))) y)
(* -1 (/ (+ (* -1 (/ (+ (* -81/8 (/ (pow x 4) y)) (* -27/4 (pow x 3))) y)) (* 9/2 (pow x 2))) y))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal 81/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4 binary64))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1 (/ (+ (* -27/4 (pow x 3)) (* -1 (/ (+ (* 81/8 (pow x 4)) (* 243/16 (/ (pow x 5) y))) y))) y)) (* 9/2 (pow x 2))) y))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/2 binary64)) (/.f64 (+.f64 (.f64 x (.f64 #s(literal -27/4 binary64) (.f64 x x))) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -81/8 binary64)) (/.f64 (*.f64 #s(literal -243/16 binary64) (pow.f64 x #s(literal 5 binary64))) y)) y)) y)) (-.f64 #s(literal 0 binary64) 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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -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 #s(literal -3 binary64)) y)))
(* y (+ 2 (* -3 (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) y)))
(* y (+ 2 (* -3 (/ x y))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) y)))
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -3 binary64)) y)))
(* -1 (* y (- (* 3 (/ x y)) 2)))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x #s(literal -3 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 #s(literal 2 binary64) (/.f64 y x)) #s(literal -3 binary64)))
(* x (- (* 2 (/ y x)) 3))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -3 binary64)))
(* x (- (* 2 (/ y x)) 3))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -3 binary64)))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -3 binary64)))
(* -1 (* x (+ 3 (* -2 (/ y x)))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y 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))
(* -3 x)
(*.f64 x #s(literal -3 binary64))

eval172.0ms (2.2%)

Compiler: Compiled 17538 to 1819 computations (89.6% saved)

prune102.0ms (1.3%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	882	5	887
Fresh	0	1	1
Picked	3	2	5
Done	0	8	8
Total	885	16	901

Accuracy

100.0%

Counts

901 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(fma.f64 x #s(literal 3 binary64) z)
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	69.1%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	69.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	69.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	69.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	61.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	36.8%	(+.f64 z x)
	39.5%	(.f64 (.f64 x #s(literal -9 binary64)) (/.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal -3 binary64)))))
	26.2%	(.f64 z (.f64 (/.f64 x z) #s(literal 3 binary64)))
	26.2%	(.f64 z (.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	39.7%	(*.f64 #s(literal 3 binary64) x)
✓	32.3%	(*.f64 #s(literal 2 binary64) y)
✓	30.9%	z
	8.8%	x

Compiler

Compiled 332 to 174 computations (47.6% saved)

regimes54.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

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

30.0ms	z
8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
7.0ms	y
7.0ms	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)

regimes38.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
9.0ms	y
7.0ms	z
7.0ms	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)

regimes20.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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:

5.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
90.4%	3	`x`
89.4%	3	`y`
88.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
66.4%	3	`z`
69.2%	3	`y`
82.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
3.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
58.2%	3	`z`
61.5%	4	`y`
63.3%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.9%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
48.9%	3	`z`
50.7%	3	`y`
36.0%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
30.9%	1	`x`
30.9%	1	`z`
30.9%	1	`y`

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	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
8.8%	1	`z`
8.8%	1	`x`
8.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.0163666104620911e-44	2.5423892438131687e-42
11.0ms	-1.4382681902256468e+35	-4.0744538726168317e+33

Results

12.0ms	209×	0	valid
2.0ms	14×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 272 to 209 computations (23.2% saved)

Precisions

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

ival-add: 6.0ms (95.7% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.5086102552842208e+56	1.019374756526139e+59
16.0ms	-1.4382681902256468e+35	-4.0744538726168317e+33

Results

16.0ms	204×	0	valid
12.0ms	25×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 260 to 208 computations (20% saved)

Precisions

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

ival-add: 16.0ms (94.4% of total)

backward-pass: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

bsearch61.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	2.0163666104620911e-44	2.5423892438131687e-42
35.0ms	-3.0219432302917803e-235	-1.8064884398335284e-237
13.0ms	-2.317106830864156e+21	-33140586516735492.0

Results

44.0ms	349×	0	valid
2.0ms	17×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 342 to 273 computations (20.2% saved)

Precisions

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

ival-add: 9.0ms (94.2% of total)

const: 0.0ms (0% of total)

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

bsearch70.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	2.0163666104620911e-44	2.5423892438131687e-42
10.0ms	-3.0219432302917803e-235	-1.8064884398335284e-237
23.0ms	-2.317106830864156e+21	-33140586516735492.0

Results

53.0ms	348×	0	valid
2.0ms	17×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 310 to 257 computations (17.1% saved)

Precisions

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

ival-add: 34.0ms (98.1% of total)

backward-pass: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.2330259632901303e+72	7.133015353336522e+76
27.0ms	-2.570723500475463e-22	-4.293205069225911e-30

Results

14.0ms	244×	0	valid
2.0ms	17×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 224 to 183 computations (18.3% saved)

Precisions

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

ival-add: 7.0ms (84.1% of total)

backward-pass: 1.0ms (12% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	114
1	70	114

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 -4399999999999999875823166803673088 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 7846377169233351/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -90000000000000000866378311868088320 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 4000000000000000193386768462214636230113579383562057023488 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -76000000000000000000 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 7846377169233351/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -620000000000000000 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal -5498669552347193/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) z (if (<=.f64 x #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 y #s(literal -6620533730813779/348449143727040986586495598010130648530944 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 58000000000000004979201062725103621929792617443254101963900706598319816704 binary64)) z (.f64 #s(literal 2 binary64) y)))
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 -4399999999999999875823166803673088 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 7846377169233351/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -4399999999999999875823166803673088 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 7846377169233351/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -90000000000000000866378311868088320 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 4000000000000000193386768462214636230113579383562057023488 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -90000000000000000866378311868088320 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 4000000000000000193386768462214636230113579383562057023488 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -76000000000000000000 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 7846377169233351/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -76000000000000000000 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -6415114477738391/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) (+.f64 x z) (if (<=.f64 x #s(literal 7846377169233351/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -620000000000000000 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal -5498669552347193/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) z (if (<=.f64 x #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -620000000000000000 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal -5498669552347193/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) z (if (<=.f64 x #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -6620533730813779/348449143727040986586495598010130648530944 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 58000000000000004979201062725103621929792617443254101963900706598319816704 binary64)) z (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -6620533730813779/348449143727040986586495598010130648530944 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 58000000000000004979201062725103621929792617443254101963900706598319816704 binary64)) z (.f64 y #s(literal 2 binary64))))
z
x

soundness1.4s (17.6%)

Rules

6422×	`-lowering-.f32`
6422×	`-lowering-.f64`
4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
2860×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	351	2131
1	1130	2049
2	3153	2015
0	8428	2015
0	144	1286
1	480	1235
2	1371	1163
3	4146	1163
0	8397	1163
0	8	9
1	25	8
2	111	8
3	371	8
4	1016	7
5	1355	7
6	1383	7
0	1383	7
0	14	49
1	114	46
2	1404	45
0	8199	45

Stop Event

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

Compiler

Compiled 392 to 251 computations (36% saved)

preprocess52.0ms (0.7%)

Compiler: Compiled 278 to 114 computations (59% saved)

analyze0.0ms (0%)

sample845.0ms (10.9%)

preprocess81.0ms (1.1%)

explain97.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.4%)

localize60.0ms (0.8%)

series9.0ms (0.1%)

rewrite406.0ms (5.3%)

simplify232.0ms (3%)

eval79.0ms (1%)

prune77.0ms (1%)

simplify6.0ms (0.1%)

localize136.0ms (1.8%)

series4.0ms (0%)

rewrite304.0ms (3.9%)

simplify214.0ms (2.8%)

eval42.0ms (0.5%)

prune40.0ms (0.5%)

simplify163.0ms (2.1%)

localize156.0ms (2%)

series25.0ms (0.3%)

rewrite396.0ms (5.1%)

simplify211.0ms (2.7%)

eval122.0ms (1.6%)

prune94.0ms (1.2%)

simplify292.0ms (3.8%)

localize741.0ms (9.6%)

series11.0ms (0.1%)

rewrite384.0ms (5%)

simplify366.0ms (4.7%)

eval172.0ms (2.2%)

prune102.0ms (1.3%)

regimes54.0ms (0.7%)

regimes38.0ms (0.5%)

regimes20.0ms (0.3%)

regimes9.0ms (0.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch40.0ms (0.5%)

bsearch61.0ms (0.8%)

bsearch70.0ms (0.9%)

bsearch42.0ms (0.5%)

simplify11.0ms (0.1%)

soundness1.4s (17.6%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling