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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

sample1.1s (15.2%)

Results

668.0ms	7650×	0	valid
138.0ms	361×	1	valid
49.0ms	175×	2	valid
20.0ms	70×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-add: 518.0ms (94.2% of total)

backward-pass: 24.0ms (4.4% of total)

const: 8.0ms (1.5% of total)

Bogosity

preprocess81.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain123.0ms (1.7%)

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

62.0ms	478×	0	valid
8.0ms	18×	1	valid
3.0ms	10×	2	valid
3.0ms	6×	3	valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

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

ival-add: 19.0ms (89.2% of total)

backward-pass: 2.0ms (9.4% of total)

const: 1.0ms (4.7% 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)

simplify27.0ms (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	0	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
✓	cost-diff	0	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 x y) y) 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

localize75.0ms (1%)

Localize:

Found 8 expressions of interest:

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

Results

43.0ms	231×	0	valid
6.0ms	13×	1	valid
4.0ms	5×	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: 20.0ms

ival-add: 13.0ms (64% of total)

ival-mult: 4.0ms (19.7% of total)

backward-pass: 2.0ms (9.8% of total)

const: 1.0ms (4.9% of total)

series9.0ms (0.1%)

Counts

9 → 228

Calls

Call 1

Inputs
#<alt (+ z (+ (* y 2) (* x 3)))>
#<alt (+ (* y 2) (* x 3))>
#<alt (* y 2)>
#<alt (* x 3)>
#<alt (+ (+ (+ x y) y) x)>
#<alt (+ (+ (+ (+ (+ x y) y) x) z) x)>
#<alt (+ (+ (+ (+ x y) y) x) z)>
#<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 (* 2 y)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (+ 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 (+ 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	y	@	0	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0ms	z	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	y	@	inf	(+ z (+ (* y 2) (* x 3)))
0.0ms	y	@	0	(+ z (+ (* y 2) (* x 3)))
0.0ms	x	@	inf	(+ z (+ (* y 2) (* x 3)))

rewrite385.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	114	46
2	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)
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ x y) y) x) z)
(+ (+ 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 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)))

simplify194.0ms (2.7%)

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	4147	1163
0	8401	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)
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ 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)
(+ 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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ z (* 2 y))
(+.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 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z))))
(* 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)

eval133.0ms (1.8%)

Compiler: Compiled 25761 to 2175 computations (91.6% saved)

prune94.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	669	11	680
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	671	11	682

Accuracy

100.0%

Counts

682 → 11

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))))
▶	65.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	63.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
	63.1%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
	72.3%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	40.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	60.4%	(+.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))))
	42.5%	(+.f64 z x)
▶	29.1%	(*.f64 #s(literal 3 binary64) x)
	35.8%	(*.f64 #s(literal 2 binary64) y)
▶	38.3%	z

Compiler

Compiled 202 to 150 computations (25.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	25	45
2	40	45
3	48	45
4	49	45
0	49	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize108.0ms (1.5%)

Localize:

Found 8 expressions of interest:

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

Results

78.0ms	234×	0	valid
5.0ms	9×	2	valid
4.0ms	10×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.1% of total)

ival-add: 6.0ms (30.1% of total)

compiled-spec: 4.0ms (20% of total)

backward-pass: 2.0ms (10% of total)

const: 1.0ms (5% of total)

series3.0ms (0%)

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite367.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5286×	`-lowering-.f32`
5286×	`-lowering-.f64`
3156×	`/-lowering-/.f32`
3156×	`/-lowering-/.f64`
2246×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	81	28
2	673	28
0	8668	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 208

Calls

Call 1

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

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 (.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 y #s(literal -2 binary64))))))
(+.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))) z)
(+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) z)
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal -2 binary64)))) (/.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z)) (-.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) 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 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (*.f64 x #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z)) (+.f64 (.f64 x #s(literal 3 binary64)) (-.f64 z (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) (-.f64 z (*.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 z z) (-.f64 z (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (-.f64 z (.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 x #s(literal 3 binary64)) z))) (/.f64 (.f64 z z) (-.f64 (.f64 x #s(literal 3 binary64)) z)))
(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 y (.f64 #s(literal 2 binary64) (-.f64 (.f64 y #s(literal 2 binary64)) z))))) (.f64 x #s(literal 3 binary64)))
(fma.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 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 x (.f64 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)))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64)))))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x #s(literal -3 binary64)) (+.f64 z (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.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 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64))))))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal -3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 y #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 (.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 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 (.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 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64))))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (*.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.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 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal -3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 x #s(literal -3 binary64)) (+.f64 z (*.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (+.f64 z (.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (*.f64 y #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 3 binary64)) z)))) (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z))) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64)))) (+.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (-.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (*.f64 y y) #s(literal -4 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (*.f64 x #s(literal -3 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 (.f64 y y) #s(literal -4 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) (-.f64 z (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal -2 binary64)))) (.f64 (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) 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 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal -2 binary64))) (+.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 y #s(literal -2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)) (.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 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 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64))))))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.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 (+.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 x (.f64 (.f64 x x) #s(literal 27 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal -3 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (+.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 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x (.f64 (.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 x (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (*.f64 x #s(literal -3 binary64))))))))
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(.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64))))) (.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64))))))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(.f64 (+.f64 (.f64 x #s(literal 3 binary64)) z) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) z))
(.f64 (+.f64 (.f64 z z) (.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x #s(literal -3 binary64)))))

simplify170.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1588×	`fma-define`
1184×	`times-frac`
940×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	660
1	277	604
2	732	577
3	2116	577
4	6034	577
0	8093	577

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval40.0ms (0.6%)

Compiler: Compiled 7230 to 661 computations (90.9% saved)

prune44.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	361	5	366
Fresh	1	5	6
Picked	1	4	5
Done	0	0	0
Total	363	14	377

Accuracy

100.0%

Counts

377 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
	65.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	27.1%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	65.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
▶	63.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
	63.1%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
▶	72.3%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	40.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	42.5%	(+.f64 z x)
✓	29.1%	(*.f64 #s(literal 3 binary64) x)
	35.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.3%	z
▶	7.1%	x

Compiler

Compiled 206 to 152 computations (26.2% saved)

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

2268×	`fnmadd-define`
1586×	`fmsub-define`
1558×	`fnmsub-define`
1448×	`fma-lowering-fma.f32`
1448×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	51	70
2	98	70
3	166	70
4	307	70
5	673	70
6	2120	70
7	5590	70
0	8065	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize144.0ms (2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	accuracy	95.4%	(-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z))
✓	accuracy	51.2%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 y x))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)

Results

60.0ms	209×	0	valid
19.0ms	21×	1	valid
13.0ms	11×	2	valid
12.0ms	11×	3	valid
7.0ms	4×	5	exit

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (49.5% of total)

ival-add: 7.0ms (18.2% of total)

backward-pass: 5.0ms (13% of total)

ival-div: 3.0ms (7.8% of total)

ival-sub: 3.0ms (7.8% of total)

const: 1.0ms (2.6% of total)

series11.0ms (0.2%)

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 9)
1.0ms	x	@	-inf	(/ (- (* x (* x 9)) (* z z)) (- (* x 3) z))
1.0ms	x	@	0	(/ (- (* x (* x 9)) (* z z)) (- (* x 3) z))
1.0ms	z	@	0	(/ (- (* x (* x 9)) (* z z)) (- (* x 3) z))
0.0ms	x	@	inf	(/ (- (* x (* x 9)) (* z z)) (- (* x 3) z))

rewrite325.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3506×	`/-lowering-/.f32`
3506×	`/-lowering-/.f64`
2906×	`-lowering-.f32`
2906×	`-lowering-.f64`
1970×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	125	45
2	1160	45
0	8297	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 469

Calls

Call 1

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

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

simplify196.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2834×	`-lowering-.f32`
2834×	`-lowering-.f64`
1174×	`+-lowering-+.f64`
1174×	`+-lowering-+.f32`
1136×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	948
1	420	858
2	1168	858
3	3604	858
0	8009	858

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval97.0ms (1.4%)

Compiler: Compiled 19231 to 1454 computations (92.4% saved)

prune88.0ms (1.2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	695	2	697
Fresh	1	4	5
Picked	1	4	5
Done	0	4	4
Total	697	14	711

Accuracy

100.0%

Counts

711 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
▶	65.1%	(fma.f64 x #s(literal 3 binary64) z)
▶	12.9%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
▶	64.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	65.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	63.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
▶	63.1%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
✓	72.3%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	40.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	42.5%	(+.f64 z x)
✓	29.1%	(*.f64 #s(literal 3 binary64) x)
▶	35.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.3%	z
✓	7.1%	x

Compiler

Compiled 170 to 128 computations (24.7% saved)

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1204×	`fnmadd-define`
1058×	`fma-define`
832×	`fma-lowering-fma.f32`
832×	`fma-lowering-fma.f64`
780×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	39	75
2	69	75
3	103	75
4	163	75
5	292	75
6	586	75
7	952	75
8	1384	75
9	2603	75
10	3327	75
11	3794	75
12	3878	75
13	3924	75
14	3959	75
15	3967	75
0	3967	75

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize189.0ms (2.6%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	accuracy	75.7%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.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	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)

Results

67.0ms	209×	0	valid
33.0ms	9×	5	exit
27.0ms	7×	3	valid
15.0ms	21×	1	valid
9.0ms	10×	2	valid

Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions

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

ival-mult: 11.0ms (26.9% of total)

ival-div: 8.0ms (19.5% of total)

compiled-spec: 6.0ms (14.6% of total)

backward-pass: 6.0ms (14.6% of total)

ival-add: 6.0ms (14.6% of total)

ival-sub: 2.0ms (4.9% of total)

const: 1.0ms (2.4% of total)

series7.0ms (0.1%)

Counts

11 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite584.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4814×	`-lowering-.f32`
4814×	`-lowering-.f64`
3402×	`/-lowering-/.f32`
3402×	`/-lowering-/.f64`
1406×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	86	49
2	632	49
0	8548	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 882

Calls

Call 1

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

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

simplify397.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

5788×	`-lowering-.f32`
5788×	`-lowering-.f64`
1786×	`fma-lowering-fma.f32`
1786×	`fma-lowering-fma.f64`
1672×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	1586
1	941	1452
2	2645	1421
0	8680	1421

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval186.0ms (2.6%)

Compiler: Compiled 29627 to 2051 computations (93.1% saved)

prune170.0ms (2.4%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1145	3	1148
Fresh	1	0	1
Picked	3	2	5
Done	0	8	8
Total	1149	13	1162

Accuracy

100.0%

Counts

1162 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.4%	(/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) x))
	28.3%	(/.f64 x (/.f64 (+.f64 z (.f64 x #s(literal -3 binary64))) (.f64 x #s(literal -9 binary64))))
	28.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	65.1%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	63.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x)
✓	63.1%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))
✓	72.3%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	40.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	42.5%	(+.f64 z x)
✓	29.1%	(*.f64 #s(literal 3 binary64) x)
✓	35.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.3%	z
✓	7.1%	x

Compiler

Compiled 273 to 141 computations (48.4% saved)

regimes35.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

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

9.0ms	x
9.0ms	z
8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
7.0ms	y

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)

regimes40.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
10.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
7.0ms	z
7.0ms	y

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)

regimes14.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
90.3%	3	`x`
88.0%	3	`y`
87.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
72.3%	1	`z`
72.3%	1	`y`
84.4%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
61.6%	3	`y`
63.4%	3	`z`
59.6%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
60.8%	3	`y`
60.4%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
59.4%	3	`z`
59.7%	4	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
38.3%	1	`x`
38.3%	1	`y`
38.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
7.1%	1	`x`
7.1%	1	`y`
7.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.6383281994343848e+135	3.134001062715285e+139
11.0ms	-2.6210492522771975e-45	-3.7401632789364174e-47

Results

15.0ms	218×	0	valid
2.0ms	15×	1	valid
2.0ms	7×	2	valid

Compiler

Compiled 306 to 239 computations (21.9% saved)

Precisions

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

ival-add: 7.0ms (90.7% of total)

backward-pass: 1.0ms (13% of total)

const: 0.0ms (0% of total)

bsearch54.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.0264919305195513e+157	1.256264247529727e+160
30.0ms	-2.6210492522771975e-45	-3.7401632789364174e-47

Results

33.0ms	219×	0	valid
9.0ms	6×	2	valid
2.0ms	15×	1	valid

Compiler

Compiled 290 to 223 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 26.0ms (97.4% of total)

backward-pass: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0264919305195513e+157	1.256264247529727e+160
26.0ms	-1.3183498698274613e+146	-7.822040738893817e+140

Results

27.0ms	246×	0	valid
2.0ms	17×	1	valid
1.0ms	6×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 292 to 234 computations (19.9% saved)

Precisions

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

ival-add: 8.0ms (87.1% of total)

backward-pass: 1.0ms (10.9% of total)

const: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.8127296146754867e+103	1.0699928112225177e+104
14.0ms	-2.343303982834705e+57	-5.169523439048743e+54

Results

13.0ms	195×	0	valid
1.0ms	10×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 228 to 169 computations (25.9% saved)

Precisions

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

ival-add: 6.0ms (95.8% 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
18.0ms	3.4787680161074375e+98	1.2801507174420692e+116
12.0ms	-9.466388862083035e+25	-1.513645517666993e+25

Results

15.0ms	240×	0	valid
3.0ms	8×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 244 to 189 computations (22.5% saved)

Precisions

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

ival-add: 7.0ms (89.8% of total)

backward-pass: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.363810473536195e+23	8.940851932080242e+23
14.0ms	-2.343303982834705e+57	-5.169523439048743e+54

Results

13.0ms	195×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 176 to 143 computations (18.8% saved)

Precisions

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

ival-add: 7.0ms (93.4% of total)

backward-pass: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	125
1	79	125

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 -8356077830146749/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 1700000000000000048083906597387648565310163846802304259381815446152199373235961522802859370516613017673778098292934646175992918159917056 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 -2828210957895823/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 10499999999999999444198571260017932570560028297697319324651658239802307194898698274561506621535186363545938980998140342488051399249646127784398640225303134208 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -5400000000000000193209780692672567201375835251128408111648204892939983100085026262523346094061200328297868376388507988466890938025302655238144 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 z #s(literal -1220000000000000020653558571000955525670125930872056053760 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 33000000000000000858934456084902695743738116234664680528772357257535865603473991975775988008623351529472 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) y) x) (+.f64 z x)))
(if (<=.f64 y #s(literal -90000000000000006006243328 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 z #s(literal -30000000000000001668181478296010388342411594133047083008 binary64)) z (if (<=.f64 z #s(literal 799999999999999932891136 binary64)) (*.f64 #s(literal 2 binary64) y) z))
z
x

Outputs
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 z (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8356077830146749/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 1700000000000000048083906597387648565310163846802304259381815446152199373235961522802859370516613017673778098292934646175992918159917056 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 -8356077830146749/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1700000000000000048083906597387648565310163846802304259381815446152199373235961522802859370516613017673778098292934646175992918159917056 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2828210957895823/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 x #s(literal 10499999999999999444198571260017932570560028297697319324651658239802307194898698274561506621535186363545938980998140342488051399249646127784398640225303134208 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (+.f64 (*.f64 #s(literal 3 binary64) x) z)))
(if (<=.f64 x #s(literal -2828210957895823/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 10499999999999999444198571260017932570560028297697319324651658239802307194898698274561506621535186363545938980998140342488051399249646127784398640225303134208 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (*.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -5400000000000000193209780692672567201375835251128408111648204892939983100085026262523346094061200328297868376388507988466890938025302655238144 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -5400000000000000193209780692672567201375835251128408111648204892939983100085026262523346094061200328297868376388507988466890938025302655238144 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 12499999999999999410916931706401375999680772847732260397385673468723244029900723383624462375427063847048413757686866552623120413945975275251329660965955305472 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -1220000000000000020653558571000955525670125930872056053760 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 33000000000000000858934456084902695743738116234664680528772357257535865603473991975775988008623351529472 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) y) x) (+.f64 z x)))
(if (<=.f64 z #s(literal -1220000000000000020653558571000955525670125930872056053760 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 33000000000000000858934456084902695743738116234664680528772357257535865603473991975775988008623351529472 binary64)) (+.f64 x (*.f64 y #s(literal 2 binary64))) (+.f64 x z)))
(if (<=.f64 y #s(literal -90000000000000006006243328 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) (+.f64 z x) (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -90000000000000006006243328 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) (+.f64 x z) (.f64 y #s(literal 2 binary64))))
(if (<=.f64 z #s(literal -30000000000000001668181478296010388342411594133047083008 binary64)) z (if (<=.f64 z #s(literal 799999999999999932891136 binary64)) (*.f64 #s(literal 2 binary64) y) z))
(if (<=.f64 z #s(literal -30000000000000001668181478296010388342411594133047083008 binary64)) z (if (<=.f64 z #s(literal 799999999999999932891136 binary64)) (*.f64 y #s(literal 2 binary64)) z))
z
x

soundness1.1s (15.6%)

Rules

4134×	`-lowering-.f32`
4134×	`-lowering-.f64`
2860×	`-lowering-.f32`
2860×	`-lowering-.f64`
2534×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	660
1	277	604
2	732	577
3	2116	577
4	6034	577
0	8093	577
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	144	1286
1	480	1235
2	1371	1163
3	4147	1163
0	8401	1163
0	14	49
1	114	46
2	1414	45
0	8280	45

Stop Event

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

Compiler

Compiled 413 to 257 computations (37.8% saved)

preprocess72.0ms (1%)

Compiler: Compiled 304 to 116 computations (61.8% saved)

analyze0.0ms (0%)

sample1.1s (15.2%)

preprocess81.0ms (1.1%)

explain123.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.4%)

localize75.0ms (1%)

series9.0ms (0.1%)

rewrite385.0ms (5.3%)

simplify194.0ms (2.7%)

eval133.0ms (1.8%)

prune94.0ms (1.3%)

simplify6.0ms (0.1%)

localize108.0ms (1.5%)

series3.0ms (0%)

rewrite367.0ms (5.1%)

simplify170.0ms (2.4%)

eval40.0ms (0.6%)

prune44.0ms (0.6%)

simplify132.0ms (1.8%)

localize144.0ms (2%)

series11.0ms (0.2%)

rewrite325.0ms (4.5%)

simplify196.0ms (2.7%)

eval97.0ms (1.4%)

prune88.0ms (1.2%)

simplify117.0ms (1.6%)

localize189.0ms (2.6%)

series7.0ms (0.1%)

rewrite584.0ms (8.1%)

simplify397.0ms (5.5%)

eval186.0ms (2.6%)

prune170.0ms (2.4%)

regimes35.0ms (0.5%)

regimes40.0ms (0.6%)

regimes14.0ms (0.2%)

regimes18.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch29.0ms (0.4%)

bsearch54.0ms (0.7%)

bsearch44.0ms (0.6%)

bsearch24.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch24.0ms (0.3%)

simplify46.0ms (0.6%)

soundness1.1s (15.6%)

preprocess72.0ms (1%)

end0.0ms (0%)

Profiling