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)

sample895.0ms (13.8%)

Results

576.0ms	7665×	0	valid
55.0ms	362×	1	valid
42.0ms	168×	2	valid
17.0ms	61×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-add: 290.0ms (90.9% of total)

backward-pass: 22.0ms (6.9% of total)

const: 7.0ms (2.2% of total)

Bogosity

preprocess240.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain135.0ms (2.1%)

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

49.0ms	488×	0	valid
7.0ms	16×	1	valid
2.0ms	6×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

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

ival-add: 14.0ms (90.4% of total)

backward-pass: 1.0ms (6.5% 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
▶	100.0%	(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	16	25
2	29	24
3	41	24
4	42	24
0	42	24

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

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)

localize45.0ms (0.7%)

Localize:

Found 4 expressions of interest:

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

Results

29.0ms	232×	0	valid
3.0ms	15×	1	valid
2.0ms	5×	2	valid
1.0ms	3×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (47.4% of total)

ival-add: 4.0ms (37.9% of total)

const: 1.0ms (9.5% of total)

backward-pass: 1.0ms (9.5% of total)

series5.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite296.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
2470×	`/-lowering-/.f32`
2470×	`/-lowering-/.f64`
1348×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	40	20
2	433	19
3	7069	19
0	8311	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) z)
(+.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 z z) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64)))) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64))))))
(+.f64 (+.f64 z (.f64 x #s(literal 3 binary64))) (.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 z z) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) z))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z))) (/.f64 (.f64 z z) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z))))
(-.f64 (/.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 z (.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 z (*.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 z (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))
(fma.f64 y #s(literal 2 binary64) (+.f64 z (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) y (+.f64 z (*.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (+.f64 z (*.f64 y #s(literal 2 binary64))))
(fma.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y #s(literal 6 binary64)))))) z)
(fma.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) z)
(neg.f64 (/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)))))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))))) (+.f64 (.f64 z z) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z))))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 z z) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z)))))
(/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (.f64 x #s(literal -3 binary64)))) (+.f64 (-.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z (.f64 z z)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) z))))))
(/.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (-.f64 (.f64 (+.f64 z (.f64 y #s(literal 2 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 3 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))))))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y #s(literal 6 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))))) (neg.f64 (+.f64 (.f64 y #s(literal -2 binary64)) (neg.f64 (.f64 x #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 #s(literal -4 binary64) (.f64 y y)))) (neg.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 y #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))) (+.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (.f64 x #s(literal 9 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y #s(literal 6 binary64)))))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (.f64 #s(literal -4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal -2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64)))) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))) (.f64 y (*.f64 y #s(literal 4 binary64)))))))
(.f64 (/.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 (.f64 y y) (.f64 y y)) #s(literal 16 binary64)) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) (*.f64 y #s(literal 6 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 9 binary64)) (.f64 y #s(literal 6 binary64))))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify154.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2406×	`-lowering-.f32`
2406×	`-lowering-.f64`
1342×	`fmsub-define`
1232×	`fnmsub-define`
1208×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	444
1	184	442
2	495	415
3	1364	415
4	3821	415
0	8509	415

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval31.0ms (0.5%)

Compiler: Compiled 7035 to 503 computations (92.9% saved)

prune25.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	8	227

Accuracy

100.0%

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
▶	66.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
	63.0%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
	71.2%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	54.5%	(+.f64 z (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))))
▶	30.2%	(*.f64 #s(literal 3 binary64) x)
	34.8%	(*.f64 #s(literal 2 binary64) y)
▶	38.2%	z

Compiler

Compiled 154 to 116 computations (24.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

48×	`fma-lowering-fma.f32`
48×	`fma-define`
48×	`fma-lowering-fma.f64`
40×	`-lowering-.f32`
40×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	46	107
2	73	107
3	83	107
4	84	107
0	84	107

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize157.0ms (2.4%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	95.6%	(+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	accuracy	51.4%	(/.f64 (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -9 binary64))) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 z (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))

Results

71.0ms	210×	0	valid
16.0ms	21×	1	valid
16.0ms	10×	3	valid
11.0ms	10×	2	valid
8.0ms	4×	5	exit
2.0ms	1×	4	valid

Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 22.0ms (45.9% of total)

ival-add: 10.0ms (20.9% of total)

backward-pass: 6.0ms (12.5% of total)

compiled-spec: 5.0ms (10.4% of total)

ival-div: 4.0ms (8.3% of total)

const: 1.0ms (2.1% of total)

series23.0ms (0.3%)

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite321.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3516×	`/-lowering-/.f32`
3516×	`/-lowering-/.f64`
3050×	`-lowering-.f32`
3050×	`-lowering-.f64`
1770×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	81
1	126	75
2	1302	75
0	8352	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 324

Calls

Call 1

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

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

simplify230.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3620×	`-lowering-.f32`
3620×	`-lowering-.f64`
1940×	`+-lowering-+.f64`
1940×	`+-lowering-+.f32`
1900×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1914
1	602	1746
2	1880	1680
3	7335	1668
0	8692	1668

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval69.0ms (1.1%)

Compiler: Compiled 16236 to 1193 computations (92.7% saved)

prune85.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	589	3	592
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	591	9	600

Accuracy

100.0%

Counts

600 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(fma.f64 x #s(literal 3 binary64) z)
▶	27.7%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
✓	66.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
▶	63.0%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
▶	71.2%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	59.4%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) z)))
✓	30.2%	(*.f64 #s(literal 3 binary64) x)
▶	34.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.2%	z

Compiler

Compiled 140 to 104 computations (25.7% saved)

simplify173.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

3018×	`-lowering-.f32`
3018×	`-lowering-.f64`
1626×	`fnmsub-define`
1580×	`fmsub-define`
1560×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	58	93
2	111	93
3	246	90
4	488	89
5	1106	89
6	3997	89
0	8417	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize160.0ms (2.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	92.8%	(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 z z))
✓	accuracy	52.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) z))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	90.4%	(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) x) z)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	99.9%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)

Results

84.0ms	213×	0	valid
16.0ms	22×	1	valid
13.0ms	6×	5	exit
9.0ms	9×	2	valid
8.0ms	6×	3	valid

Compiler

Compiled 112 to 22 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 23.0ms (42.2% of total)

ival-mult: 15.0ms (27.5% of total)

ival-add: 7.0ms (12.9% of total)

backward-pass: 5.0ms (9.2% of total)

ival-sub: 4.0ms (7.3% of total)

const: 1.0ms (1.8% of total)

series21.0ms (0.3%)

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite407.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3358×	`-lowering-.f32`
3358×	`-lowering-.f64`
3232×	`/-lowering-/.f32`
3232×	`/-lowering-/.f64`
2258×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	136	55
2	1197	53
0	8562	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 427

Calls

Call 1

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

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

simplify270.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2900×	`-lowering-.f32`
2900×	`-lowering-.f64`
2388×	`/-lowering-/.f32`
2388×	`/-lowering-/.f64`
1970×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	1122
1	290	984
2	759	984
3	2080	984
4	7101	984
0	8301	984

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval87.0ms (1.3%)

Compiler: Compiled 17482 to 1351 computations (92.3% saved)

prune103.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	706	3	709
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	708	10	718

Accuracy

100.0%

Counts

718 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(fma.f64 x #s(literal 3 binary64) z)
✓	66.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	63.0%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	71.2%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
▶	23.3%	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
▶	59.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) #s(literal 3 binary64))))
▶	59.4%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)))))
✓	30.2%	(*.f64 #s(literal 3 binary64) x)
✓	34.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.2%	z

Compiler

Compiled 85 to 64 computations (24.7% saved)

simplify371.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6272	(fma.f64 x #s(literal 3 binary64) z)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	cost-diff	256	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 3 binary64)))
✓	cost-diff	256	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) #s(literal 3 binary64))))
✓	cost-diff	128	(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	128	(.f64 x (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	cost-diff	384	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)))))

Rules

6380×	`-lowering-.f32`
6380×	`-lowering-.f64`
3228×	`cube-prod`
1708×	`fma-define`
1556×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	48	87
2	96	67
3	230	67
4	395	67
5	701	67
6	1335	67
7	2198	67
8	2761	67
9	3261	67
10	4026	67
11	4729	67
12	5463	67
13	5847	67
14	6028	67
15	6159	67
16	6261	67
17	6368	67
18	7173	67
0	8062	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (+ 1 (* x (* 3 (/ 1 z)))))
z
(+ 1 (* x (* 3 (/ 1 z))))
1
(* x (* 3 (/ 1 z)))
x
(* 3 (/ 1 z))
3
(/ 1 z)
(* z (+ 1 (* (/ x z) 3)))
z
(+ 1 (* (/ x z) 3))
1
(* (/ x z) 3)
(/ x z)
x
3
(* z (/ (* 3 x) z))
z
(/ (* 3 x) z)
(* 3 x)
3
x
(+ (* x 3) z)
x
3
z

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

localize248.0ms (3.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) z)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(/.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	accuracy	85.6%	(.f64 z (/.f64 (.f64 #s(literal 3 binary64) x) z))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 x z) #s(literal 3 binary64))
✓	accuracy	92.3%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)))
✓	accuracy	99.7%	(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	92.3%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) z)))))

Results

165.0ms	86×	5	exit
50.0ms	170×	0	valid

Compiler

Compiled 96 to 19 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 34.0ms (35.9% of total)

backward-pass: 23.0ms (24.3% of total)

ival-div: 18.0ms (19% of total)

ival-add: 10.0ms (10.6% of total)

compiled-spec: 9.0ms (9.5% of total)

const: 1.0ms (1.1% of total)

series5.0ms (0.1%)

Counts

12 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite259.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3982×	`-lowering-.f32`
3982×	`-lowering-.f64`
2392×	`/-lowering-/.f32`
2392×	`/-lowering-/.f64`
1068×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	105	71
2	626	51
0	8295	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 711

Calls

Call 1

Inputs
(* z (+ 1 (* x (* 3 (/ 1 z)))))
(+ 1 (* x (* 3 (/ 1 z))))
(* x (* 3 (/ 1 z)))
(* 3 (/ 1 z))
(* z (+ 1 (* (/ x z) 3)))
(+ 1 (* (/ x z) 3))
(* (/ x z) 3)
(/ x z)
(* z (/ (* 3 x) z))
(/ (* 3 x) z)
(* 3 x)
(+ (* x 3) z)

Outputs
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(+.f64 (/.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal 9 binary64)) (+.f64 z (*.f64 x #s(literal -3 binary64)))))
(fma.f64 z #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 z (/.f64 (*.f64 x #s(literal 3 binary64)) z) z)
(fma.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 3 binary64) z) (*.f64 z x) z)
(fma.f64 (/.f64 x z) (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) z) z z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) z)
(fma.f64 (.f64 z (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) z)
(fma.f64 (*.f64 z x) (/.f64 #s(literal 3 binary64) z) z)
(fma.f64 (*.f64 z #s(literal 3 binary64)) (/.f64 x z) z)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64))))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (+.f64 (.f64 x #s(literal -3 binary64)) z)))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (neg.f64 (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64)))))))
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 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 #s(literal 1 binary64) (+.f64 z (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) z)) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) (/.f64 z x)) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 9 binary64) (/.f64 z x)) #s(literal 3 binary64)))) (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 x #s(literal -3 binary64))) (+.f64 (.f64 z z) (.f64 #s(literal -9 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 z (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z)) (-.f64 (.f64 x #s(literal 3 binary64)) z))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (neg.f64 (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z)) (+.f64 (*.f64 x #s(literal -3 binary64)) z))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64))))) (+.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (.f64 x #s(literal -3 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))))))
(/.f64 (.f64 z (+.f64 z (.f64 x #s(literal 3 binary64)))) z)
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 z (.f64 z (.f64 z z)))) (.f64 (-.f64 (.f64 x #s(literal 3 binary64)) z) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z z))))
(/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x z) (/.f64 z x)) #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 9 binary64) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 z z) (.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 z (.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (/.f64 z (/.f64 (.f64 x #s(literal 3 binary64)) z)) z) (/.f64 z (.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (/.f64 z (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 z (*.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z (.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (/.f64 (.f64 z z) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 z x) #s(literal -3 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (+.f64 (.f64 z z) (.f64 #s(literal -1 binary64) (.f64 z (.f64 x #s(literal -3 binary64))))) z)
(/.f64 (+.f64 z (/.f64 z (/.f64 (.f64 x #s(literal 3 binary64)) z))) (/.f64 z (.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (.f64 z z) (.f64 x #s(literal -3 binary64)))) (.f64 (/.f64 z (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 0 binary64) z))) (.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 z (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (.f64 z (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (.f64 (.f64 z (.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (.f64 z z)) z)
(/.f64 (+.f64 (.f64 (.f64 z (.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) z))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x 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 z (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x z) (/.f64 z x)) #s(literal -9 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x z) (-.f64 (/.f64 #s(literal 9 binary64) (/.f64 z x)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (neg.f64 (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 z (+.f64 z (*.f64 x #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))) (neg.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) z)))
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simplify155.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1928×	`sum5-define`
1832×	`-lowering-.f32`
1832×	`-lowering-.f64`
1120×	`times-frac`
1072×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	1170
1	91	1080
2	206	1080
3	521	1080
4	2688	1080
5	6959	1080
0	8370	1080

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval126.0ms (1.9%)

Compiler: Compiled 16303 to 1035 computations (93.7% saved)

prune92.0ms (1.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	972	3	975
Fresh	0	0	0
Picked	4	0	4
Done	0	6	6
Total	976	9	985

Accuracy

100.0%

Counts

985 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓	66.3%	(+.f64 (*.f64 #s(literal 3 binary64) x) z)
✓	63.0%	(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x))
✓	71.2%	(+.f64 (*.f64 #s(literal 2 binary64) y) z)
	23.3%	(*.f64 z (/.f64 #s(literal 3 binary64) (/.f64 z x)))
	23.3%	(.f64 z (.f64 (/.f64 x z) #s(literal 3 binary64)))
✓	30.2%	(*.f64 #s(literal 3 binary64) x)
✓	34.8%	(*.f64 #s(literal 2 binary64) y)
✓	38.2%	z

Compiler

Compiled 220 to 115 computations (47.7% saved)

regimes26.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
6.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	z
6.0ms	x

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes25.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
6.0ms	y
6.0ms	z
5.0ms	x

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes16.0ms (0.2%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
87.6%	3	`x`
91.0%	4	`y`
86.8%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
71.2%	1	`z`
83.4%	3	`x`
71.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
60.9%	3	`y`
59.0%	4	`z`
56.4%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
38.2%	1	`x`
38.2%	1	`z`
38.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch48.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.632631171543914e+153	4.84683159283499e+158
15.0ms	25290472327787380.0	3.045959350726672e+19
14.0ms	-3.444956540747662e+162	-8.119867585922365e+152

Results

26.0ms	402×	0	valid
2.0ms	12×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 540 to 429 computations (20.6% saved)

Precisions

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

ival-add: 11.0ms (93.6% of total)

backward-pass: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.200069461901964e-46	4.2378430074653824e-44
12.0ms	-7.188104852105052e+142	-3.8116680964524434e+138

Results

16.0ms	228×	0	valid
1.0ms	9×	1	valid
0.0ms	2×	2	valid
0.0ms	1×	3	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 (91% of total)

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

const: 0.0ms (0% of total)

bsearch55.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.7449989090311172e+174	1.5861984501920276e+186
35.0ms	-5.806190553977156e+184	-1.0814355591421167e+178

Results

23.0ms	13×	2	valid
16.0ms	269×	0	valid
2.0ms	17×	1	valid
1.0ms	5×	3	valid

Compiler

Compiled 324 to 260 computations (19.8% saved)

Precisions

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

ival-add: 8.0ms (80.1% of total)

backward-pass: 1.0ms (10% of total)

const: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.045959350726672e+19	2.2262806387972666e+20
18.0ms	-3.444956540747662e+162	-8.119867585922365e+152

Results

14.0ms	234×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 200 to 163 computations (18.5% saved)

Precisions

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

ival-add: 6.0ms (94.8% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	103
1	61	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 y #s(literal 24000000000000000000 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 y #s(literal 234999999999999996851552994617044893786335245809077818660650632822275300490461817410935323255089945161224893454160674212312731082630838620198373374352871653376 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (+.f64 (.f64 #s(literal 2 binary64) y) z))))
(if (<=.f64 y #s(literal -3899999999999999797554109312774912232091694992416965698295680880268503684580875545418709512792463996872797848801215074961123100961745666048 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (if (<=.f64 y #s(literal 8436424732359699/200867255532373784442745261542645325315275374222849104412672 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (+.f64 (*.f64 #s(literal 2 binary64) y) z)))
(if (<=.f64 x #s(literal -10999999999999999856993095795657699665335018940115599652471212039343206722108199132309039606538584126541087323436088251624934240484862748853582958877563642757636168827706638598144 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 7100000000000000291892556899834979066048022284758178746206121453109064085999134532876282595427533225399142227748972774703998957618746943020382175810059966721962795154720948224 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 y #s(literal -819999999999999958845833511052405995043625135424702707957307520270229982154859466718189496296374028192728914436539529834576710292274663563840309281423360 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 165000000000000000000 binary64)) z (.f64 #s(literal 2 binary64) y)))
z

Outputs
(fma.f64 x #s(literal 3 binary64) (+.f64 z (*.f64 y #s(literal 2 binary64))))
(+.f64 z (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (if (<=.f64 y #s(literal 24000000000000000000 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (if (<=.f64 y #s(literal 234999999999999996851552994617044893786335245809077818660650632822275300490461817410935323255089945161224893454160674212312731082630838620198373374352871653376 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 3 binary64) x)) (+.f64 (.f64 #s(literal 2 binary64) y) z))))
(if (<=.f64 y #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 24000000000000000000 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 234999999999999996851552994617044893786335245809077818660650632822275300490461817410935323255089945161224893454160674212312731082630838620198373374352871653376 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 z (.f64 y #s(literal 2 binary64))))))
(if (<=.f64 y #s(literal -3899999999999999797554109312774912232091694992416965698295680880268503684580875545418709512792463996872797848801215074961123100961745666048 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (if (<=.f64 y #s(literal 8436424732359699/200867255532373784442745261542645325315275374222849104412672 binary64)) (+.f64 (.f64 #s(literal 3 binary64) x) z) (+.f64 (*.f64 #s(literal 2 binary64) y) z)))
(if (<=.f64 y #s(literal -3899999999999999797554109312774912232091694992416965698295680880268503684580875545418709512792463996872797848801215074961123100961745666048 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (if (<=.f64 y #s(literal 8436424732359699/200867255532373784442745261542645325315275374222849104412672 binary64)) (+.f64 z (.f64 x #s(literal 3 binary64))) (+.f64 z (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -10999999999999999856993095795657699665335018940115599652471212039343206722108199132309039606538584126541087323436088251624934240484862748853582958877563642757636168827706638598144 binary64)) (.f64 #s(literal 3 binary64) x) (if (<=.f64 x #s(literal 7100000000000000291892556899834979066048022284758178746206121453109064085999134532876282595427533225399142227748972774703998957618746943020382175810059966721962795154720948224 binary64)) (+.f64 (.f64 #s(literal 2 binary64) y) z) (*.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -10999999999999999856993095795657699665335018940115599652471212039343206722108199132309039606538584126541087323436088251624934240484862748853582958877563642757636168827706638598144 binary64)) (.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 7100000000000000291892556899834979066048022284758178746206121453109064085999134532876282595427533225399142227748972774703998957618746943020382175810059966721962795154720948224 binary64)) (+.f64 z (.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -819999999999999958845833511052405995043625135424702707957307520270229982154859466718189496296374028192728914436539529834576710292274663563840309281423360 binary64)) (.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 165000000000000000000 binary64)) z (.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -819999999999999958845833511052405995043625135424702707957307520270229982154859466718189496296374028192728914436539529834576710292274663563840309281423360 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 y #s(literal 165000000000000000000 binary64)) z (.f64 y #s(literal 2 binary64))))
z

soundness998.0ms (15.3%)

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
2470×	`/-lowering-/.f32`
2470×	`/-lowering-/.f64`
2406×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	444
1	184	442
2	495	415
3	1364	415
4	3821	415
0	8509	415
0	8	9
1	25	8
2	111	8
3	371	8
4	1016	7
5	1355	7
6	1383	7
0	1383	7
0	9	20
1	40	20
2	433	19
3	7069	19
0	8311	19

Stop Event

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

Compiler

Compiled 339 to 209 computations (38.3% saved)

preprocess42.0ms (0.6%)

Compiler: Compiled 256 to 94 computations (63.3% saved)

analyze0.0ms (0%)

sample895.0ms (13.8%)

preprocess240.0ms (3.7%)

explain135.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize45.0ms (0.7%)

series5.0ms (0.1%)

rewrite296.0ms (4.6%)

simplify154.0ms (2.4%)

eval31.0ms (0.5%)

prune25.0ms (0.4%)

simplify8.0ms (0.1%)

localize157.0ms (2.4%)

series23.0ms (0.3%)

rewrite321.0ms (4.9%)

simplify230.0ms (3.5%)

eval69.0ms (1.1%)

prune85.0ms (1.3%)

simplify173.0ms (2.7%)

localize160.0ms (2.5%)

series21.0ms (0.3%)

rewrite407.0ms (6.3%)

simplify270.0ms (4.2%)

eval87.0ms (1.3%)

prune103.0ms (1.6%)

simplify371.0ms (5.7%)

localize248.0ms (3.8%)

series5.0ms (0.1%)

rewrite259.0ms (4%)

simplify155.0ms (2.4%)

eval126.0ms (1.9%)

prune92.0ms (1.4%)

regimes26.0ms (0.4%)

regimes25.0ms (0.4%)

regimes16.0ms (0.2%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch48.0ms (0.7%)

bsearch27.0ms (0.4%)

bsearch55.0ms (0.9%)

bsearch29.0ms (0.4%)

simplify14.0ms (0.2%)

soundness998.0ms (15.3%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling