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)

sample871.0ms (10.1%)

Results

574.0ms	7642×	0	valid
47.0ms	371×	1	valid
34.0ms	179×	2	valid
17.0ms	64×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-add: 328.0ms (92.7% of total)

backward-pass: 18.0ms (5.1% of total)

const: 8.0ms (2.3% of total)

Bogosity

preprocess104.0ms (1.2%)

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))

explain283.0ms (3.3%)

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

47.0ms	464×	0	valid
5.0ms	30×	1	valid
3.0ms	12×	2	valid
2.0ms	6×	3	valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 24.0ms (92.4% of total)

backward-pass: 2.0ms (7.7% of total)

const: 1.0ms (3.8% 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)

simplify36.0ms (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

localize63.0ms (0.7%)

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	99.9%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))

Results

30.0ms	226×	0	valid
6.0ms	17×	1	valid
3.0ms	6×	3	valid
3.0ms	5×	2	valid
2.0ms	2×	5	exit

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

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

ival-add: 12.0ms (57% of total)

ival-mult: 6.0ms (28.5% of total)

backward-pass: 3.0ms (14.2% of total)

const: 1.0ms (4.7% of total)

series11.0ms (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	y	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	x	@	inf	(+ z (+ (* y 2) (* x 3)))
0.0ms	x	@	-inf	(+ z (+ (* y 2) (* x 3)))

rewrite376.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 452

Calls

Call 1

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

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

simplify226.0ms (2.6%)

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)

eval87.0ms (1%)

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

prune77.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	665	15	680
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	667	15	682

Accuracy

100.0%

Counts

682 → 15

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))))
	63.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
▶	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
▶	63.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	68.2%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
	69.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	42.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	57.5%	(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x))))
	38.3%	(+.f64 z (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.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 y #s(literal 2 binary64)))))))
	57.4%	(+.f64 z (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x)))))
▶	38.4%	(+.f64 z x)
	78.7%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) z)))
	32.2%	(*.f64 #s(literal 3 binary64) x)
	38.3%	(*.f64 #s(literal 2 binary64) y)
▶	33.8%	z

Compiler

Compiled 386 to 272 computations (29.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

134×	`sum3-define`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
92×	`fma-define`
80×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	38	60
2	86	60
3	151	60
4	215	60
5	246	60
0	246	60

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

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

localize81.0ms (0.9%)

Localize:

Found 10 expressions of interest:

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

Results

41.0ms	220×	0	valid
5.0ms	16×	1	valid
5.0ms	5×	5	exit
5.0ms	10×	2	valid
3.0ms	5×	3	valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 11.0ms (38.2% of total)

ival-mult: 9.0ms (31.2% of total)

compiled-spec: 5.0ms (17.3% of total)

backward-pass: 3.0ms (10.4% of total)

const: 1.0ms (3.5% of total)

series6.0ms (0.1%)

Counts

10 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite342.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3264×	`/-lowering-/.f32`
3264×	`/-lowering-/.f64`
3218×	`-lowering-.f32`
3218×	`-lowering-.f64`
2448×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	117	46
2	1164	46
0	8259	46

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 393

Calls

Call 1

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

simplify711.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

2920×	`-lowering-.f32`
2920×	`-lowering-.f64`
1748×	`/-lowering-/.f32`
1748×	`/-lowering-/.f64`
1228×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1346
1	525	1265
2	1460	1199
3	4403	1181
0	8733	1181

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

eval74.0ms (0.9%)

Compiler: Compiled 14854 to 1420 computations (90.4% saved)

prune99.0ms (1.2%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	636	9	645
Fresh	3	7	10
Picked	1	4	5
Done	0	0	0
Total	640	20	660

Accuracy

100.0%

Counts

660 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.3%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	63.4%	(fma.f64 x #s(literal 3 binary64) z)
	31.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
▶	20.5%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))))))
	63.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
▶	99.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))) x)
	63.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
✓	63.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	68.2%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
▶	69.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	42.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	38.4%	(+.f64 z x)
	31.6%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
	78.7%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x)) z)))
▶	83.5%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 #s(literal 3 binary64) x)) y)))
	32.2%	(*.f64 #s(literal 3 binary64) x)
	38.3%	(*.f64 #s(literal 2 binary64) y)
✓	33.8%	z
▶	7.5%	x

Compiler

Compiled 418 to 295 computations (29.4% saved)

simplify171.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (*.f64 z z)))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))))))
✓	cost-diff	0	(+.f64 z (*.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 z (*.f64 #s(literal 3 binary64) x)) y)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 3 binary64) x)) y))
✓	cost-diff	128	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 #s(literal 3 binary64) x)) y)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	cost-diff	0	(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
✓	cost-diff	256	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))) x)

Rules

2298×	`sum4-define`
2164×	`sum3-define`
1468×	`fnmsub-define`
1348×	`-lowering-.f32`
1348×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	171
1	84	163
2	168	159
3	334	157
4	708	157
5	1345	157
6	3565	157
7	6891	157
0	8043	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize203.0ms (2.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 z (-.f64 z (.f64 x #s(literal 3 binary64))))
✓	accuracy	97.8%	(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (-.f64 z (.f64 x #s(literal 3 binary64)))))
✓	accuracy	95.4%	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (*.f64 z z)))
✓	accuracy	43.8%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 3 binary64) x)) y))
✓	accuracy	99.8%	(+.f64 z (*.f64 #s(literal 3 binary64) x))
✓	accuracy	99.5%	(/.f64 (+.f64 z (*.f64 #s(literal 3 binary64) x)) y)
✓	accuracy	85.0%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 #s(literal 3 binary64) x)) y)))
✓	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 2 binary64) (+.f64 x y))
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))

Results

96.0ms	206×	0	valid
18.0ms	9×	5	exit
18.0ms	14×	3	valid
12.0ms	19×	1	valid
10.0ms	8×	2	valid

Compiler

Compiled 210 to 34 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 30.0ms (41.1% of total)

ival-add: 19.0ms (26% of total)

ival-div: 13.0ms (17.8% of total)

backward-pass: 7.0ms (9.6% of total)

ival-sub: 3.0ms (4.1% of total)

const: 1.0ms (1.4% of total)

series32.0ms (0.4%)

Counts

17 → 456

Calls

Call 1

Inputs
#<alt (+ (/ 1 (/ 1 (+ z (* 2 (+ x y))))) x)>
#<alt (/ 1 (/ 1 (+ z (* 2 (+ x y)))))>
#<alt (/ 1 (+ z (* 2 (+ x y))))>
#<alt (+ z (* 2 (+ x y)))>
#<alt (+ (* 2 y) z)>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ (+ z (* 3 x)) y)))>
#<alt (+ 2 (/ (+ z (* 3 x)) y))>
#<alt (/ (+ z (* 3 x)) y)>
#<alt (+ z (* 3 x))>
#<alt (/ (+ (* (* x (* x x)) 27) (* z (* z z))) (+ (* (* x x) 9) (* z (- z (* x 3)))))>
#<alt (+ (* (* x (* x x)) 27) (* z (* z z)))>
#<alt (* (* x (* x x)) 27)>
#<alt (* x (* x x))>
#<alt (* 2 (+ x y))>
#<alt (+ (* (* x x) 9) (* z (- z (* x 3))))>
#<alt (* z (- z (* x 3)))>

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

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* y (+ 2 (/ (+ z (* 3 x)) y)))
2.0ms	z	@	inf	(/ (+ z (* 3 x)) y)
1.0ms	z	@	0	(/ (+ (* (* x (* x x)) 27) (* z (* z z))) (+ (* (* x x) 9) (* z (- z (* x 3)))))
1.0ms	z	@	-inf	(/ 1 (+ z (* 2 (+ x y))))
1.0ms	x	@	0	(/ (+ (* (* x (* x x)) 27) (* z (* z z))) (+ (* (* x x) 9) (* z (- z (* x 3)))))

rewrite409.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3656×	`-lowering-.f32`
3656×	`-lowering-.f64`
3614×	`/-lowering-/.f32`
3614×	`/-lowering-/.f64`
1828×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	129
1	221	121
2	2022	117
0	8593	117

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 556

Calls

Call 1

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

Outputs
(+.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x))
(+.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 z x))
(+.f64 (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) x)
(+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (+.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) z)
(-.f64 (/.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))) (/.f64 (.f64 x x) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))) (/.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))
(fma.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) x)
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) (+.f64 z x))
(fma.f64 (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))) x)
(fma.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))) x)
(fma.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))) x)
(fma.f64 (pow.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)) (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)) (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x x)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))) (neg.f64 (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))) (neg.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x x))) (neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))) (-.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))))) (neg.f64 (neg.f64 (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (neg.f64 (-.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))))
(pow.f64 (/.f64 (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x)) (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x (-.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(.f64 (-.f64 (.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 z x))))
(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)
(+.f64 (.f64 #s(literal 2 binary64) x) (+.f64 z (.f64 #s(literal 2 binary64) y)))
(+.f64 (.f64 #s(literal 1 binary64) z) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) z))
(+.f64 (.f64 z #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 z (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) y))
(exp.f64 (log.f64 (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(exp.f64 (.f64 (log.f64 (+.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 z z) (.f64 #s(literal 1 binary64) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y))))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))
(fma.f64 #s(literal 1 binary64) z (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 #s(literal 1 binary64) z))
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x (+.f64 z (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
(fma.f64 x #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) z)
(fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64) (.f64 z #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))) (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))))
(/.f64 (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))) (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))) (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 z z) (.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y))))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)))))
(/.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))))
(/.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (.f64 z z) (.f64 z (.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (neg.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 z z)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))) (.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))) (.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))) (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (neg.f64 (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (+.f64 z (*.f64 #s(literal -2 binary64) (+.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))))) (neg.f64 (neg.f64 (+.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 z (.f64 #s(literal -2 binary64) (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 z z))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal -1 binary64))
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(-.f64 (/.f64 (.f64 z (.f64 (+.f64 z (.f64 x #s(literal -3 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64)))))) (-.f64 (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64)))) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (-.f64 (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64)))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
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(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64)))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64)))))
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(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 z (.f64 (+.f64 z (.f64 x #s(literal -3 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64)))))))
(+.f64 (.f64 z z) (.f64 z (*.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 z z) (.f64 (*.f64 x #s(literal -3 binary64)) z))
(fma.f64 z z (.f64 z (.f64 x #s(literal -3 binary64))))
(fma.f64 z z (.f64 (.f64 x #s(literal -3 binary64)) z))
(/.f64 (.f64 z (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)))) (+.f64 (.f64 z z) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 z (-.f64 (.f64 z z) (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 z (*.f64 x #s(literal 3 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 z z) (.f64 (.f64 x x) #s(literal 9 binary64))) z) (+.f64 z (*.f64 x #s(literal 3 binary64))))
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simplify343.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3610×	`-lowering-.f32`
3610×	`-lowering-.f64`
1856×	`+-lowering-+.f64`
1856×	`+-lowering-+.f32`
1532×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	4308
1	1804	3906
2	5796	3861
0	8262	3861

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(+ 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)))
(* 2 (+ x y))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
z
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
z
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x 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)
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Outputs
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eval210.0ms (2.4%)

Compiler: Compiled 26429 to 2456 computations (90.7% saved)

prune141.0ms (1.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1004	8	1012
Fresh	3	8	11
Picked	3	2	5
Done	0	4	4
Total	1010	22	1032

Accuracy

100.0%

Counts

1032 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.3%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	63.4%	(fma.f64 x #s(literal 3 binary64) z)
	31.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
▶	63.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
	32.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
	63.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
✓	63.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
▶	68.2%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	69.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	42.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	38.4%	(+.f64 z x)
▶	31.6%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
	78.6%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) z) (+.f64 #s(literal 1 binary64) (/.f64 x z))))
	56.1%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) z)))
	21.7%	(.f64 y (/.f64 (.f64 x #s(literal 3 binary64)) y))
▶	83.4%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))
	70.1%	(.f64 y (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (/.f64 z x) y)))))
	38.3%	(*.f64 y #s(literal 2 binary64))
▶	32.2%	(*.f64 x #s(literal 3 binary64))
✓	33.8%	z
✓	7.5%	x

Compiler

Compiled 422 to 304 computations (28% saved)

simplify189.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 z z))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	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 x #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64)))))
✓	cost-diff	128	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))))
✓	cost-diff	256	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))

Rules

2160×	`-lowering-.f32`
2160×	`-lowering-.f64`
1910×	`fma-lowering-fma.f32`
1910×	`fma-lowering-fma.f64`
1800×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	130
1	70	126
2	146	123
3	339	123
4	894	123
5	2513	123
6	6391	123
0	8059	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize215.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	accuracy	95.7%	(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 z z))
✓	accuracy	59.0%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(+.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	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 x #s(literal 3 binary64))
✓	accuracy	99.8%	(+.f64 z (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.5%	(/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64)))))
✓	accuracy	84.6%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))

Results

106.0ms	201×	0	valid
17.0ms	10×	5	exit
15.0ms	16×	2	valid
12.0ms	10×	3	valid
10.0ms	19×	1	valid

Compiler

Compiled 165 to 27 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 21.0ms (32.1% of total)

ival-div: 14.0ms (21.4% of total)

ival-sub: 14.0ms (21.4% of total)

ival-add: 8.0ms (12.2% of total)

backward-pass: 7.0ms (10.7% of total)

const: 1.0ms (1.5% of total)

series28.0ms (0.3%)

Counts

17 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ 1 (- (* x 3) z))
0.0ms	y	@	-inf	(/ y (+ z (* x 3)))
0.0ms	x	@	0	(* (- (* (* x x) 9) (* z z)) (/ 1 (- (* x 3) z)))
0.0ms	y	@	0	(/ y (+ z (* x 3)))
0.0ms	x	@	inf	(* (- (* (* x x) 9) (* z z)) (/ 1 (- (* x 3) z)))

rewrite698.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
3210×	`/-lowering-/.f32`
3210×	`/-lowering-/.f64`
2212×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	86
1	178	83
2	1458	83
0	8702	83

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1260

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))
(+.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))) (/.f64 (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))) (-.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))))))
(fma.f64 y #s(literal 2 binary64) (/.f64 y (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))))
(fma.f64 y (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (/.f64 y (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) y (.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 y (/.f64 #s(literal 1 binary64) y)) (+.f64 z (.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 z (.f64 x #s(literal 3 binary64)))))))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))) (-.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 y (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y))))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 y (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y)))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)))) y) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y))) y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 z (.f64 x #s(literal 3 binary64))))))))) (neg.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))))) (neg.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (.f64 y (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)))))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y))))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)))) y)) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y))) y)) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 z (.f64 x #s(literal 3 binary64))))))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (/.f64 y (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64))))) (.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)))
(.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)) y)
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y))
(+.f64 (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y))) (/.f64 (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y))))
(-.f64 (/.f64 (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y)) (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (+.f64 z (*.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 z (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) #s(literal 2 binary64)) (/.f64 y (+.f64 z (.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (.f64 (/.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) y))))))
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(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 x #s(literal 9 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))))
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(.f64 (/.f64 (pow.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (pow.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))))
(.f64 (/.f64 (pow.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (pow.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (*.f64 x #s(literal 9 binary64)))))))
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simplify328.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5214×	`-lowering-.f32`
5214×	`-lowering-.f64`
1698×	`+-lowering-+.f64`
1698×	`+-lowering-+.f32`
1698×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	3413
1	1572	3121
2	4484	3036
0	8316	3036

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

eval297.0ms (3.5%)

Compiler: Compiled 49584 to 3763 computations (92.4% saved)

prune228.0ms (2.7%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1693	5	1698
Fresh	5	6	11
Picked	3	2	5
Done	0	6	6
Total	1701	19	1720

Accuracy

100.0%

Counts

1720 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(fma.f64 x #s(literal 3 binary64) z)
	31.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
	63.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	99.9%	(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) x)
✓	63.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	68.2%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	69.5%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	42.9%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	38.4%	(+.f64 z x)
	15.6%	(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (/.f64 #s(literal 1/3 binary64) x))
	62.8%	(.f64 (.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 x #s(literal 3 binary64))))) (+.f64 z (*.f64 x #s(literal 3 binary64))))
	56.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 x z))))
	21.7%	(.f64 y (/.f64 (.f64 x #s(literal 3 binary64)) y))
	57.6%	(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) x)))))
	38.3%	(*.f64 y #s(literal 2 binary64))
✓	32.2%	(*.f64 x #s(literal 3 binary64))
✓	33.8%	z
✓	7.5%	x

Compiler

Compiled 592 to 259 computations (56.3% saved)

regimes59.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
12.0ms	y
12.0ms	z
12.0ms	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)

regimes50.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	y
12.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
12.0ms	z
11.0ms	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)

regimes56.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	z
9.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
92.4%	3	`x`
91.1%	3	`y`
85.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
89.1%	3	`y`
89.2%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
73.7%	3	`y`
86.8%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
64.5%	3	`y`
63.1%	5	`z`
61.4%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.6%	5	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
z

Outputs
z
x

Calls

3 calls:

3.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
35.6%	2	`x`
33.8%	1	`z`
33.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
7.5%	1	`y`
7.5%	1	`z`
7.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.211956592578902e+31	1.624535510111174e+31
11.0ms	-1.5864810386997042e+110	-7.810403504931358e+109

Results

11.0ms

128×

valid

Compiler

Compiled 180 to 141 computations (21.7% saved)

Precisions

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

ival-add: 7.0ms (103.6% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.1297664128615234e+21	1.211956592578902e+31
14.0ms	-1.656477664945613e+93	-2.6266288910887467e+91

Results

15.0ms	211×	0	valid
5.0ms	39×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 308 to 237 computations (23.1% saved)

Precisions

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

ival-add: 11.0ms (92.5% of total)

backward-pass: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.211956592578902e+31	1.624535510111174e+31
13.0ms	-3.7911058035284475e+134	-5.186153204316409e+132

Results

9.0ms	149×	0	valid
1.0ms	8×	1	valid
1.0ms	2×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 5.0ms (93.6% of total)

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

const: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1492312189941105e-21	2.3591881913425887e-15
21.0ms	-1.3809252190543456e+108	-4.037087659954682e+100

Results

22.0ms	260×	0	valid
4.0ms	14×	2	valid
2.0ms	14×	1	valid

Compiler

Compiled 308 to 229 computations (25.6% saved)

Precisions

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

ival-add: 17.0ms (94.1% of total)

backward-pass: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1492312189941105e-21	2.3591881913425887e-15
14.0ms	-1.3809252190543456e+108	-4.037087659954682e+100

Results

16.0ms	254×	0	valid
3.0ms	26×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 272 to 211 computations (22.4% saved)

Precisions

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

ival-add: 8.0ms (84.6% of total)

backward-pass: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

bsearch62.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	7.749290332916957e-39	6.849862807081753e-37
11.0ms	9.65281157795505e-166	6.334753220894549e-165
12.0ms	-2.4598268509005005e-134	-1.0990944530433844e-135
22.0ms	-1.7086839193766257e+96	-2.4845242285339057e+94

Results

23.0ms	382×	0	valid
15.0ms	29×	1	valid
3.0ms	17×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 344 to 283 computations (17.7% saved)

Precisions

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

ival-add: 13.0ms (87.2% of total)

backward-pass: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.749290332916957e-39	6.849862807081753e-37
13.0ms	-1.7086839193766257e+96	-2.4845242285339057e+94

Results

11.0ms	195×	0	valid
3.0ms	25×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 188 to 153 computations (18.6% saved)

Precisions

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

ival-add: 7.0ms (92.5% of total)

backward-pass: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.329684616803293e+121	3.654244617002187e+122

Results

5.0ms	90×	0	valid
1.0ms	4×	2	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 80 to 61 computations (23.8% saved)

Precisions

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

ival-add: 3.0ms (94.5% of total)

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

const: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	153
1	98	153

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 -98000000000000006982269657465675876897564196161469673280147571503469537768837366905739967581211255180936347648 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 14500000000000000147589571805184 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -38999999999999996770550789424209951356554576803889549395904829494384584025750242990403616768 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 9000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -6199999999999999533362453452137330887154957828397822881472083391568903393664466340290959767145567377583164918887023228506003566755840 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 y #s(literal -48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) x) (if (<=.f64 y #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 z x) (+.f64 (.f64 #s(literal 2 binary64) y) x)))
(if (<=.f64 y #s(literal -41999999999999997171117420603604230312083963686236149880749265448689784589853262925388860571223326720 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 7809214475236381/332306998946228968225951765070086144 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -41999999999999997884915438865255170676778829352592584084075020520337728799808750390489189974016 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -294093687428169/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) z (if (<=.f64 y #s(literal 5705583907211365/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 1107467480703865/2993155353253689176481146537402947624255349848014848 binary64)) z (*.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 y #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 2514250496733099/5986310706507378352962293074805895248510699696029696 binary64)) z (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 x #s(literal 350000000000000014216076119496131895984175099058257183734253058947370739692296818241712906043981828561843242582039563599872 binary64)) z x)
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))))
(if (<=.f64 x #s(literal -98000000000000006982269657465675876897564196161469673280147571503469537768837366905739967581211255180936347648 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 14500000000000000147589571805184 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -98000000000000006982269657465675876897564196161469673280147571503469537768837366905739967581211255180936347648 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 14500000000000000147589571805184 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -38999999999999996770550789424209951356554576803889549395904829494384584025750242990403616768 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 9000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -38999999999999996770550789424209951356554576803889549395904829494384584025750242990403616768 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 9000000000000000000000 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -6199999999999999533362453452137330887154957828397822881472083391568903393664466340290959767145567377583164918887023228506003566755840 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -6199999999999999533362453452137330887154957828397822881472083391568903393664466340290959767145567377583164918887023228506003566755840 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) x) (if (<=.f64 y #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 z x) (+.f64 (.f64 #s(literal 2 binary64) y) x)))
(if (<=.f64 y #s(literal -48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) (+.f64 x (.f64 y #s(literal 2 binary64))) (if (<=.f64 y #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 x z) (+.f64 x (.f64 y #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -41999999999999997171117420603604230312083963686236149880749265448689784589853262925388860571223326720 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 7809214475236381/332306998946228968225951765070086144 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -41999999999999997171117420603604230312083963686236149880749265448689784589853262925388860571223326720 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 7809214475236381/332306998946228968225951765070086144 binary64)) (+.f64 x z) (.f64 y #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -41999999999999997884915438865255170676778829352592584084075020520337728799808750390489189974016 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal -294093687428169/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) z (if (<=.f64 y #s(literal 5705583907211365/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 y #s(literal 1107467480703865/2993155353253689176481146537402947624255349848014848 binary64)) z (*.f64 #s(literal 2 binary64) y)))))
(if (<=.f64 y #s(literal -41999999999999997884915438865255170676778829352592584084075020520337728799808750390489189974016 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal -294093687428169/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) z (if (<=.f64 y #s(literal 5705583907211365/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 y #s(literal 1107467480703865/2993155353253689176481146537402947624255349848014848 binary64)) z (*.f64 y #s(literal 2 binary64))))))
(if (<=.f64 y #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 2514250496733099/5986310706507378352962293074805895248510699696029696 binary64)) z (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -25000000000000000505471978178898674714402408080358943528444421405200100124954107733967445688320 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 2514250496733099/5986310706507378352962293074805895248510699696029696 binary64)) z (.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 350000000000000014216076119496131895984175099058257183734253058947370739692296818241712906043981828561843242582039563599872 binary64)) z x)
x

soundness1.1s (13%)

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
2920×	`-lowering-.f32`
2920×	`-lowering-.f64`
2860×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	114	46
2	1414	45
0	8280	45
0	144	1286
1	480	1235
2	1371	1163
3	4146	1163
0	8397	1163
0	8	9
1	25	8
2	111	8
3	371	8
4	1016	7
5	1355	7
6	1383	7
0	1383	7
0	159	1346
1	525	1265
2	1460	1199
3	4403	1181
0	8733	1181

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 491 to 302 computations (38.5% saved)

preprocess59.0ms (0.7%)

Compiler: Compiled 380 to 146 computations (61.6% saved)

analyze0.0ms (0%)

sample871.0ms (10.1%)

preprocess104.0ms (1.2%)

explain283.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.4%)

localize63.0ms (0.7%)

series11.0ms (0.1%)

rewrite376.0ms (4.4%)

simplify226.0ms (2.6%)

eval87.0ms (1%)

prune77.0ms (0.9%)

simplify11.0ms (0.1%)

localize81.0ms (0.9%)

series6.0ms (0.1%)

rewrite342.0ms (4%)

simplify711.0ms (8.3%)

eval74.0ms (0.9%)

prune99.0ms (1.2%)

simplify171.0ms (2%)

localize203.0ms (2.4%)

series32.0ms (0.4%)

rewrite409.0ms (4.7%)

simplify343.0ms (4%)

eval210.0ms (2.4%)

prune141.0ms (1.6%)

simplify189.0ms (2.2%)

localize215.0ms (2.5%)

series28.0ms (0.3%)

rewrite698.0ms (8.1%)

simplify328.0ms (3.8%)

eval297.0ms (3.5%)

prune228.0ms (2.7%)

regimes59.0ms (0.7%)

regimes50.0ms (0.6%)

regimes56.0ms (0.6%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch16.0ms (0.2%)

bsearch32.0ms (0.4%)

bsearch19.0ms (0.2%)

bsearch41.0ms (0.5%)

bsearch33.0ms (0.4%)

bsearch62.0ms (0.7%)

bsearch28.0ms (0.3%)

bsearch11.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.1s (13%)

preprocess59.0ms (0.7%)

end0.0ms (0%)

Profiling