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)

sample890.0ms (7.2%)

Results

510.0ms	7624×	0	valid
56.0ms	374×	1	valid
40.0ms	182×	2	valid
20.0ms	76×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-add: 293.0ms (89.3% of total)

backward-pass: 28.0ms (8.5% of total)

const: 7.0ms (2.1% of total)

Bogosity

preprocess277.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

2202×	`unsub-neg`
1340×	`distribute-neg-in`
1114×	`associate-+r+`
876×	`sub-neg`
768×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	115
1	145	92
2	571	90
3	2404	90
4	4317	90
5	5679	90
6	6085	90
7	6199	90
8	6210	90
9	6210	90
10	6865	90
11	7074	90
12	7098	90
13	7106	90
14	7106	90
15	7106	90
16	7110	90
17	7842	90
0	8	11
1	21	9
2	66	9
3	161	9
4	254	9
5	259	9
0	259	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

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

explain105.0ms (0.8%)

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

53.0ms	466×	0	valid
4.0ms	22×	1	valid
7.0ms	20×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 15.0ms (77.1% of total)

backward-pass: 4.0ms (20.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

localize159.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x y) y)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
✓	accuracy	100.0%	(+.f64 (+.f64 x y) y)
✓	accuracy	100.0%	(+.f64 (+.f64 (+.f64 x y) y) x)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))

Rules

266×	`+-lowering-+.f64`
266×	`+-lowering-+.f32`
216×	`associate-+r+`
124×	`associate-+l+`
104×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	33	56
2	83	56
3	178	56
4	249	56
5	251	56
0	251	49

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)

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

Results

90.0ms	226×	0	valid
5.0ms	13×	1	valid
6.0ms	12×	2	valid
2.0ms	3×	3	valid
2.0ms	2×	5	exit

Compiler

Compiled 69 to 26 computations (62.3% saved)

Precisions

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

ival-mult: 12.0ms (42.8% of total)

ival-add: 12.0ms (42.8% of total)

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

const: 1.0ms (3.6% of total)

series25.0ms (0.2%)

Counts

8 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite614.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4990×	`-lowering-.f32`
4990×	`-lowering-.f64`
3890×	`/-lowering-/.f32`
3890×	`/-lowering-/.f64`
3780×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	109	48
2	1234	48
0	8179	42

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 523

Calls

Call 1

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

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

simplify401.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

8834×	`accelerator-lowering-fma.f32`
8834×	`accelerator-lowering-fma.f64`
2426×	`-lowering-.f32`
2426×	`-lowering-.f64`
1614×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1192
1	401	1192
2	1048	1192
3	2745	1192
4	6151	1192
0	8349	1013

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

Outputs
(* 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 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* y (+ 2 (* 3 (/ x y))))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* y (+ 2 (* 3 (/ x y))))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -3 (/ x y)) 2)))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
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eval136.0ms (1.1%)

Compiler: Compiled 28606 to 8484 computations (70.3% saved)

prune172.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	712	15	727
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	713	16	729

Accuracy

100.0%

Counts

729 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 (*.f64 y #s(literal 2 binary64)) z))
	46.7%	(+.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))))) z) x)
▶	69.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
	67.1%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
▶	69.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	67.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
	63.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	36.8%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
	54.8%	(+.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 x #s(literal 3 binary64)))))
	33.6%	(+.f64 z (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal 2 binary64)))))))
	54.8%	(+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))))
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
▶	39.3%	(+.f64 z x)
	37.6%	(*.f64 #s(literal 3 binary64) x)
	31.2%	(*.f64 #s(literal 2 binary64) y)
▶	33.6%	z

Compiler

Compiled 478 to 293 computations (38.7% saved)

localize141.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(+.f64 (+.f64 x x) z)
✓	cost-diff	128	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 y #s(literal 2 binary64)) z)
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) (+.f64 (*.f64 y #s(literal 2 binary64)) z))
✓	accuracy	100.0%	(+.f64 (+.f64 x x) z)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 y #s(literal 2 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 (*.f64 y #s(literal 2 binary64)) z))

Rules

122×	`+-lowering-+.f64`
122×	`+-lowering-+.f32`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
62×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	30	46
2	43	46
3	45	46
4	75	46
5	110	46
6	111	46
0	111	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

45.0ms	234×	0	valid
32.0ms	11×	2	valid
2.0ms	5×	1	valid
3.0ms	4×	3	valid
6.0ms	2×	5	exit

Compiler

Compiled 59 to 26 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 37.0ms (63.2% of total)

ival-mult: 12.0ms (20.5% of total)

<compiled-spec>: 5.0ms (8.5% of total)

backward-pass: 3.0ms (5.1% of total)

const: 1.0ms (1.7% of total)

series12.0ms (0.1%)

Counts

9 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite158.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`accelerator-lowering-fma.f32`
964×	`accelerator-lowering-fma.f64`
506×	`-lowering-.f32`
506×	`-lowering-.f64`
404×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	105	43
0	1018	37

Stop Event

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

Counts

9 → 172

Calls

Call 1

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

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

simplify517.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

9628×	`accelerator-lowering-fma.f32`
9628×	`accelerator-lowering-fma.f64`
2672×	`-lowering-.f32`
2672×	`-lowering-.f64`
1332×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	850
1	324	850
2	821	850
3	2520	850
4	6255	850
0	8209	721

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval55.0ms (0.4%)

Compiler: Compiled 4318 to 2434 computations (43.6% saved)

prune38.0ms (0.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	358	6	364
Fresh	2	8	10
Picked	1	4	5
Done	0	1	1
Total	361	19	380

Accuracy

100.0%

Counts

380 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.1%	(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
▶	69.3%	(fma.f64 x #s(literal 3 binary64) z)
	31.8%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
	19.2%	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))))))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))))
	46.7%	(+.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))))) z) x)
✓	69.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
▶	67.1%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
✓	69.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	67.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
	63.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	36.8%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶	54.8%	(+.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 x #s(literal 3 binary64)))))
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	39.3%	(+.f64 z x)
	37.6%	(*.f64 #s(literal 3 binary64) x)
	31.2%	(*.f64 #s(literal 2 binary64) y)
✓	33.6%	z
▶	8.6%	x

Compiler

Compiled 476 to 288 computations (39.5% saved)

localize524.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(+.f64 z (/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) z)
✓	accuracy	99.9%	(-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	95.9%	(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	accuracy	51.7%	(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)

Rules

2048×	`accelerator-lowering-fma.f32`
2048×	`accelerator-lowering-fma.f64`
1040×	`-lowering-.f32`
1040×	`-lowering-.f64`
704×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	50	110
2	104	110
3	182	110
4	329	110
5	614	110
6	1324	110
7	2787	110
8	3297	110
9	3365	110
10	3366	110
11	3366	110
12	3379	110
13	3387	110
14	3465	110
15	3931	110
0	3931	101

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

83.0ms	210×	0	valid
17.0ms	17×	1	valid
15.0ms	13×	2	valid
36.0ms	11×	5	exit
8.0ms	5×	3	valid

Compiler

Compiled 127 to 71 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 60.0ms (54.7% of total)

backward-pass: 15.0ms (13.7% of total)

ival-sub: 12.0ms (10.9% of total)

ival-add: 7.0ms (6.4% of total)

ival-div: 6.0ms (5.5% of total)

<compiled-spec>: 6.0ms (5.5% of total)

const: 5.0ms (4.6% of total)

series71.0ms (0.6%)

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Expression
45.0ms	y	@	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (- (* y 2) (* x 3))))
5.0ms	x	@	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (- (* y 2) (* x 3))))
2.0ms	x	@	(/ (- (* (* y y) 4) (* (* x x) 9)) (- (* y 2) (* x 3)))
1.0ms	z	@	(+ z (/ (- (* (* y y) 4) (* (* x x) 9)) (- (* y 2) (* x 3))))
1.0ms	y	@	(/ (- (* (* y y) 4) (* (* x x) 9)) (- (* y 2) (* x 3)))

rewrite1.2s (9.8%)

Algorithm

1×	batch-egg-rewrite

Rules

15740×	`accelerator-lowering-fma.f32`
15740×	`accelerator-lowering-fma.f64`
4800×	`/-lowering-/.f32`
4800×	`/-lowering-/.f64`
4612×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	134	67
2	1193	67
0	8576	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1420

Calls

Call 1

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

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

simplify568.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

12330×	`accelerator-lowering-fma.f32`
12330×	`accelerator-lowering-fma.f64`
4522×	`-lowering-.f32`
4522×	`-lowering-.f64`
1758×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1626
1	582	1602
2	1787	1599
3	6948	1596
0	8438	1420

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval1.1s (8.9%)

Compiler: Compiled 73247 to 44166 computations (39.7% saved)

prune514.0ms (4.1%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1657	5	1662
Fresh	3	6	9
Picked	1	4	5
Done	0	5	5
Total	1661	20	1681

Accuracy

100.0%

Counts

1681 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.3%	(fma.f64 x #s(literal 3 binary64) z)
	31.8%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))))
▶	69.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
	46.8%	(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
	30.4%	(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
✓	69.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
▶	88.4%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 z y))))
✓	67.1%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
✓	69.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	67.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
▶	63.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	36.8%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
✓	39.3%	(+.f64 z x)
▶	31.8%	(.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)))
	37.6%	(*.f64 #s(literal 3 binary64) x)
▶	31.2%	(*.f64 #s(literal 2 binary64) y)
✓	33.6%	z
✓	8.6%	x

Compiler

Compiled 421 to 308 computations (26.8% saved)

localize1.1s (9.2%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	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 z z))
✓	cost-diff	128	(.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)))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 z y))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	128	(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 z y)))
✓	cost-diff	128	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 z y))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 9 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓	accuracy	91.6%	(-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 z z))
✓	accuracy	53.3%	(.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)))
✓	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	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 z y))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 z y))))
✓	accuracy	88.6%	(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 z y)))

Rules

17432×	`accelerator-lowering-fma.f32`
17432×	`accelerator-lowering-fma.f64`
3334×	`-lowering-.f32`
3334×	`-lowering-.f64`
2056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	115
1	55	113
2	97	113
3	180	107
4	366	107
5	724	107
6	2237	107
7	4266	107
8	5563	107
9	6239	107
10	6552	107
11	6656	107
12	6736	107
13	6981	107
14	7350	107
15	7562	107
16	7562	107
17	7562	107
0	8295	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

98.0ms	216×	0	valid
39.0ms	17×	2	valid
9.0ms	10×	1	valid
15.0ms	9×	3	valid
10.0ms	4×	5	exit

Compiler

Compiled 139 to 81 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 54.0ms (51.4% of total)

ival-div: 14.0ms (13.3% of total)

backward-pass: 12.0ms (11.4% of total)

ival-add: 12.0ms (11.4% of total)

ival-sub: 8.0ms (7.6% of total)

const: 5.0ms (4.8% of total)

series34.0ms (0.3%)

Counts

15 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite755.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

8664×	`accelerator-lowering-fma.f32`
8664×	`accelerator-lowering-fma.f64`
4182×	`-lowering-.f32`
4182×	`-lowering-.f64`
4034×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	85
1	151	85
2	1211	79
0	8826	70

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1253

Calls

Call 1

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

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

simplify852.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

11682×	`accelerator-lowering-fma.f32`
11682×	`accelerator-lowering-fma.f64`
4868×	`-lowering-.f32`
4868×	`-lowering-.f64`
1816×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	2149
1	900	2130
2	2320	2082
3	7056	2025
0	8469	1826

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

eval718.0ms (5.8%)

Compiler: Compiled 44444 to 24369 computations (45.2% saved)

prune302.0ms (2.4%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	1594	4	1598
Fresh	2	4	6
Picked	3	2	5
Done	0	9	9
Total	1599	19	1618

Accuracy

100.0%

Counts

1618 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.3%	(fma.f64 x #s(literal 3 binary64) z)
	37.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
	46.8%	(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
	30.4%	(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x #s(literal 3 binary64))))))
✓	69.3%	(+.f64 (+.f64 (+.f64 x x) z) x)
✓	67.1%	(+.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 2 binary64) y))
✓	69.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	67.1%	(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
✓	63.4%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	36.8%	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	99.9%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
	84.8%	(+.f64 z (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) y))))
✓	39.3%	(+.f64 z x)
	20.0%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 z z)) (/.f64 #s(literal 1/3 binary64) x))
	54.2%	(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 z y)) y)
	37.6%	(*.f64 #s(literal 3 binary64) x)
✓	31.2%	(*.f64 #s(literal 2 binary64) y)
✓	33.6%	z
✓	8.6%	x

Compiler

Compiled 619 to 375 computations (39.4% saved)

regimes105.0ms (0.8%)

Counts

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

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

Calls

4 calls:

61.0ms	y
22.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
10.0ms	x
9.0ms	z

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)

regimes39.0ms (0.3%)

Counts

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

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

Calls

4 calls:

10.0ms	y
9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
9.0ms	z
9.0ms	x

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes45.0ms (0.4%)

Counts

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

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

Calls

3 calls:

15.0ms	x
15.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
89.3%	5	`x`
88.0%	3	`y`
88.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts

10 → 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) (/.f64 z y)) y)

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

Calls

2 calls:

16.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
88.0%	3	`y`
75.7%	6	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.2%)

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

2 calls:

11.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
78.7%	3	`x`
71.1%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.3%)

Counts

6 → 7

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

Calls

3 calls:

16.0ms	x
12.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
65.6%	7	`y`
62.7%	6	`z`
65.8%	10	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
65.2%	7	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
59.9%	6	`z`
64.0%	7	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
39.4%	4	`x`
51.4%	3	`z`
50.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
z

Outputs
z

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
33.6%	1	`x`
33.6%	1	`y`
36.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	y
0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
8.6%	1	`z`
8.6%	1	`y`
8.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9345983470277300.0	196422450590910980.0
12.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

14.0ms	221×	0	valid
2.0ms	12×	1	valid
2.0ms	7×	2	valid

Compiler

Compiled 334 to 238 computations (28.7% saved)

Precisions

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

ival-add: 7.0ms (93% of total)

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

const: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9345983470277300.0	196422450590910980.0
13.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

13.0ms	221×	0	valid
1.0ms	11×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 320 to 238 computations (25.6% saved)

Precisions

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

ival-add: 7.0ms (94.1% of total)

backward-pass: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.332441394453123e+112	1.205588306453363e+113
13.0ms	-2.5712551789540323e+132	-4.1918507650598093e+123

Results

13.0ms	228×	0	valid
2.0ms	12×	1	valid

Compiler

Compiled 290 to 223 computations (23.1% saved)

Precisions

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

ival-add: 6.0ms (89.4% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.527499256127297e+105	8.850100644896097e+106
13.0ms	-8.437797252057166e+61	-2.680896248386235e+59

Results

20.0ms	230×	0	valid
1.0ms	7×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 260 to 208 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 13.0ms (93.6% of total)

const: 0.0ms (0% of total)

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

bsearch94.0ms (0.8%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	3.9539852184154356e+99	9.510435738042579e+106
18.0ms	2.956038993258584e-28	1.5694556739682195e-21
13.0ms	2.3314402524671556e-224	2.0575002628888504e-221
16.0ms	-3.0855982490608948e-235	-6.704284692510227e-243
12.0ms	-3.05313758059646e-161	-5.0204253092293574e-163
14.0ms	-2.5712551789540323e+132	-4.1918507650598093e+123

Results

45.0ms	752×	0	valid
6.0ms	31×	1	valid
7.0ms	28×	2	valid
1.0ms	5×	3	valid

Compiler

Compiled 770 to 610 computations (20.8% saved)

Precisions

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

ival-add: 26.0ms (87.6% of total)

backward-pass: 3.0ms (10.1% of total)

const: 1.0ms (3.4% of total)

bsearch94.0ms (0.8%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.332441394453123e+112	1.205588306453363e+113
15.0ms	2.956038993258584e-28	1.5694556739682195e-21
17.0ms	2.3314402524671556e-224	2.0575002628888504e-221
15.0ms	-3.0855982490608948e-235	-6.704284692510227e-243
16.0ms	-3.05313758059646e-161	-5.0204253092293574e-163
15.0ms	-2.5712551789540323e+132	-4.1918507650598093e+123

Results

41.0ms	705×	0	valid
9.0ms	31×	2	valid
4.0ms	26×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 692 to 556 computations (19.7% saved)

Precisions

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

ival-add: 24.0ms (85.9% of total)

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

const: 1.0ms (3.6% of total)

bsearch89.0ms (0.7%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.332441394453123e+112	1.205588306453363e+113
15.0ms	2.956038993258584e-28	1.5694556739682195e-21
16.0ms	2.3314402524671556e-224	2.0575002628888504e-221
10.0ms	-3.6362669392794483e-210	-5.816484527632069e-211
18.0ms	-3.05313758059646e-161	-5.0204253092293574e-163
13.0ms	-2.5712551789540323e+132	-4.1918507650598093e+123

Results

45.0ms	660×	0	valid
4.0ms	29×	1	valid
6.0ms	20×	2	valid
3.0ms	11×	3	valid

Compiler

Compiled 590 to 493 computations (16.4% saved)

Precisions

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

ival-add: 27.0ms (89.9% of total)

backward-pass: 3.0ms (10% of total)

const: 1.0ms (3.3% of total)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	9345983470277300.0	196422450590910980.0
12.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

12.0ms	220×	0	valid
2.0ms	16×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 200 to 163 computations (18.5% saved)

Precisions

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

ival-add: 7.0ms (93.7% of total)

backward-pass: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 264 to 168 computations (36.4% saved)

preprocess86.0ms (0.7%)

Compiler: Compiled 556 to 352 computations (36.7% saved)

analyze0.0ms (0%)

sample890.0ms (7.2%)

preprocess277.0ms (2.2%)

explain105.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize159.0ms (1.3%)

series25.0ms (0.2%)

rewrite614.0ms (5%)

simplify401.0ms (3.2%)

eval136.0ms (1.1%)

prune172.0ms (1.4%)

localize141.0ms (1.1%)

series12.0ms (0.1%)

rewrite158.0ms (1.3%)

simplify517.0ms (4.2%)

eval55.0ms (0.4%)

prune38.0ms (0.3%)

localize524.0ms (4.2%)

series71.0ms (0.6%)

rewrite1.2s (9.8%)

simplify568.0ms (4.6%)

eval1.1s (8.9%)

prune514.0ms (4.1%)

localize1.1s (9.2%)

series34.0ms (0.3%)

rewrite755.0ms (6.1%)

simplify852.0ms (6.9%)

eval718.0ms (5.8%)

prune302.0ms (2.4%)

regimes105.0ms (0.8%)

regimes39.0ms (0.3%)

regimes45.0ms (0.4%)

regimes16.0ms (0.1%)

regimes27.0ms (0.2%)

regimes19.0ms (0.2%)

regimes36.0ms (0.3%)

regimes9.0ms (0.1%)

regimes17.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes2.0ms (0%)

bsearch27.0ms (0.2%)

bsearch54.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch94.0ms (0.8%)

bsearch94.0ms (0.8%)

bsearch89.0ms (0.7%)

bsearch40.0ms (0.3%)

soundness3.0ms (0%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling