Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

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 19 to 9 computations (52.6% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (13.1%)

Results

833.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 500.0ms

ival-mult: 361.0ms (72.2% of total)

ival-add: 130.0ms (26% of total)

const: 7.0ms (1.4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess71.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

726×	`unsub-neg`
326×	`sub-neg`
282×	`associate-+l-`
256×	`cancel-sign-sub`
206×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	157
1	108	133
2	239	91
3	604	90
4	1130	90
5	1499	90
6	2056	90
7	2579	90
8	2638	90
9	2638	90
0	8	15
1	15	13
2	25	9
3	37	9
4	45	9
5	48	9
0	48	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs z)

(sort x y)

explain81.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`y`
0	-	-	`(*.f64 z z)`

Results

39.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

ival-add: 7.0ms (46.7% of total)

ival-mult: 7.0ms (46.7% of total)

const: 1.0ms (6.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	96.8%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

localize76.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	384	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))

Rules

58×	`accelerator-lowering-fma.f32`
58×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
30×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	23	52
2	34	52
3	43	52
4	48	52
0	48	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

37.0ms

256×

valid

Compiler

Compiled 70 to 19 computations (72.9% saved)

Precisions

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

ival-mult: 12.0ms (63% of total)

ival-add: 6.0ms (31.5% of total)

const: 1.0ms (5.3% of total)

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

series16.0ms (0.2%)

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite937.0ms (10.8%)

Algorithm

1×	batch-egg-rewrite

Rules

12552×	`accelerator-lowering-fma.f32`
12552×	`accelerator-lowering-fma.f64`
5724×	`-lowering-.f32`
5724×	`-lowering-.f64`
3592×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	67	45
2	662	43
0	8547	39

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 508

Calls

Call 1

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

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

simplify453.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

6758×	`accelerator-lowering-fma.f32`
6758×	`accelerator-lowering-fma.f64`
3874×	`-lowering-.f32`
3874×	`-lowering-.f64`
1104×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1218
1	302	1218
2	918	1218
3	2523	1218
4	6254	1218
0	8527	1110

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval307.0ms (3.5%)

Compiler: Compiled 24186 to 6969 computations (71.2% saved)

prune65.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	720	6	726
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	721	7	728

Accuracy

100.0%

Counts

728 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
	96.6%	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z z)))) (.f64 z z)) (.f64 z z))
▶	96.8%	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	96.8%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
▶	78.3%	(+.f64 (.f64 x y) (.f64 z z))
▶	52.8%	(*.f64 x y)
▶	53.6%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 168 to 106 computations (36.9% saved)

localize252.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))
✓	cost-diff	256	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z))))
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	accuracy	99.5%	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))

Rules

110×	`accelerator-lowering-fma.f32`
110×	`accelerator-lowering-fma.f64`
82×	`-lowering-.f32`
82×	`-lowering-.f64`
28×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	33	76
2	57	76
3	101	76
4	112	76
5	113	76
0	113	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

72.0ms

256×

valid

Compiler

Compiled 121 to 39 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 21.0ms (56.3% of total)

ival-add: 9.0ms (24.1% of total)

ival-div: 5.0ms (13.4% of total)

const: 2.0ms (5.4% of total)

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

series20.0ms (0.2%)

Counts

10 → 276

Calls

Call 1

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

Outputs
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>

Calls

69 calls:

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

rewrite1.0s (11.6%)

Algorithm

1×	batch-egg-rewrite

Rules

12500×	`accelerator-lowering-fma.f32`
12500×	`accelerator-lowering-fma.f64`
6900×	`-lowering-.f32`
6900×	`-lowering-.f64`
3262×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	90	70
2	760	70
0	8723	64

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 825

Calls

Call 1

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

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

simplify825.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

10330×	`accelerator-lowering-fma.f32`
10330×	`accelerator-lowering-fma.f64`
5456×	`-lowering-.f32`
5456×	`-lowering-.f64`
4574×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	2764
1	873	2648
2	2621	2638
3	7763	2638
0	8872	2459

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
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(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 z z) (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 x y) #s(literal 1/9 binary64)) (.f64 z z)) #s(literal 1/3 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 z z) (.f64 z z))) (+.f64 (/.f64 (.f64 (.f64 x y) #s(literal -1/9 binary64)) (.f64 z z)) (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 #s(literal -1/81 binary64) (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x y))))) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) y)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 z (.f64 z (+.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 3 binary64))))

eval310.0ms (3.6%)

Compiler: Compiled 38378 to 13857 computations (63.9% saved)

prune146.0ms (1.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1317	4	1321
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1318	10	1328

Accuracy

100.0%

Counts

1328 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
▶	53.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
▶	96.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))))) (.f64 z z))
✓	96.8%	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	96.8%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
✓	78.3%	(+.f64 (.f64 x y) (.f64 z z))
▶	53.6%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	35.9%	(*.f64 z z)
✓	52.8%	(*.f64 x y)
✓	53.6%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 112 to 76 computations (32.1% saved)

localize171.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
✓	cost-diff	0	(+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))))
✓	cost-diff	512	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))))) (.f64 z z))
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	cost-diff	0	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.1%	(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))))
✓	accuracy	99.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))))) (.f64 z z))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z))))
✓	accuracy	97.4%	(+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 z z)))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.9%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	100.0%	(*.f64 z z)

Rules

110×	`accelerator-lowering-fma.f32`
110×	`accelerator-lowering-fma.f64`
82×	`-lowering-.f32`
82×	`-lowering-.f64`
28×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	37	78
2	62	74
3	94	74
4	99	74
5	117	74
6	121	74
0	121	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

67.0ms

256×

valid

Compiler

Compiled 102 to 47 computations (53.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 18.0ms (46.2% of total)

ival-div: 13.0ms (33.3% of total)

ival-add: 6.0ms (15.4% of total)

const: 2.0ms (5.1% of total)

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

series20.0ms (0.2%)

Counts

9 → 204

Calls

Call 1

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

Outputs
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<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 (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>

Calls

51 calls:

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

rewrite833.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

9322×	`accelerator-lowering-fma.f32`
9322×	`accelerator-lowering-fma.f64`
5224×	`-lowering-.f32`
5224×	`-lowering-.f64`
2886×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	92	63
2	677	59
3	7721	59
0	8665	55

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 695

Calls

Call 1

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

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

simplify745.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

11406×	`accelerator-lowering-fma.f32`
11406×	`accelerator-lowering-fma.f64`
6764×	`-lowering-.f32`
6764×	`-lowering-.f64`
3810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	2114
1	758	2070
2	2271	2056
3	7982	2048
0	8850	1921

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(/ 1/2 (pow z 2))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/ 1/2 (pow z 2))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ 1 (* x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/ 1 (* x y))
(+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))

Outputs
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 (.f64 (/.f64 y (.f64 z z)) (.f64 x #s(literal -1/4 binary64))) (.f64 z z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 x (+.f64 (/.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 y y))) (pow.f64 z #s(literal 6 binary64))) (/.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 (.f64 z z) (*.f64 z z))))))
(+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 y (.f64 (.f64 x (.f64 y y)) #s(literal -1/16 binary64))) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 (.f64 z z) (*.f64 z z))))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) y) (.f64 y y)) x) (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (.f64 y y))) x)) x)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -8 binary64)) (.f64 (.f64 x x) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) y) (.f64 y y)) x) (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (.f64 y y))) x))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) y) (.f64 y y)) x) (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (.f64 y y))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) y) (.f64 y y)) (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 x (pow.f64 y #s(literal 4 binary64)))))) x) (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (.f64 y y))) x)) x)
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 (.f64 (/.f64 y (.f64 z z)) (.f64 x #s(literal -1/4 binary64))) (.f64 z z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 x (+.f64 (/.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 y y))) (pow.f64 z #s(literal 6 binary64))) (/.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 (.f64 z z) (*.f64 z z))))))
(+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 y (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x)))) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 (.f64 z z) (*.f64 z z))))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 x y) (.f64 x x))) (/.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (.f64 x x))) y)) y)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (+.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 x y) (.f64 x x))) (/.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (.f64 x x))) y))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 x y) (.f64 x x))) (/.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (.f64 x x))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 x (.f64 x x))) (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 y (pow.f64 x #s(literal 4 binary64)))))) y) (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 x x))) y)) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 y y)))))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 z (.f64 z #s(literal -8 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) y) (.f64 y (.f64 (.f64 x y) (.f64 x x)))))) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 y y)))))))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z)) (*.f64 z z))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 1/8 binary64))) (/.f64 y (.f64 (.f64 z z) (.f64 z z)))) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z))) (.f64 z z))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 1/8 binary64))) (/.f64 y (.f64 (.f64 z z) (.f64 z z)))) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))))) (pow.f64 z #s(literal 6 binary64)))) (.f64 z z))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z)) (*.f64 z z))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 1/8 binary64))) (/.f64 y (.f64 (.f64 z z) (.f64 z z)))) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z))) (.f64 z z))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 1/8 binary64))) (/.f64 y (.f64 (.f64 z z) (.f64 z z)))) (/.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1/4 binary64) z)) z))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))))) (pow.f64 z #s(literal 6 binary64)))) (.f64 z z))
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 x (+.f64 y (/.f64 (.f64 (*.f64 z z) #s(literal 3 binary64)) x)))
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 y (+.f64 x (.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y))))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(.f64 x (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) x)))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(.f64 y (+.f64 x (/.f64 (.f64 z (*.f64 z #s(literal 2 binary64))) y)))
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (.f64 z (.f64 z #s(literal 2 binary64))) (*.f64 x y))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* 2 (pow z 2))
(.f64 z (.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(.f64 (.f64 z z) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (.f64 z z))))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))

eval259.0ms (3%)

Compiler: Compiled 27921 to 11295 computations (59.5% saved)

prune236.0ms (2.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	997	1	998
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	999	9	1008

Accuracy

100.0%

Counts

1008 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
✓	96.8%	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	96.8%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
✓	78.3%	(+.f64 (.f64 x y) (.f64 z z))
✓	53.6%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	35.9%	(*.f64 z z)
✓	52.8%	(*.f64 x y)
✓	53.6%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 90 to 61 computations (32.2% saved)

localize65.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) z)
✓	cost-diff	0	(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓	accuracy	99.9%	(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) z)

Rules

8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
6×	`-lowering-.f32`
6×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	6	10
2	9	10
0	9	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ z (/ 1/3 z))
z
(/ 1/3 z)
1/3

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

Results

49.0ms

256×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-div: 5.0ms (85.8% of total)

const: 1.0ms (17.2% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ 1/3 z)>
#<alt (/ z (/ 1/3 z))>

Outputs
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>

Calls

6 calls:

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

rewrite296.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`/-lowering-/.f32`
1988×	`/-lowering-/.f64`
1524×	`-lowering-.f32`
1524×	`-lowering-.f64`
1276×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	20	8
2	102	8
3	497	8
4	2521	8
0	8874	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 267

Calls

Call 1

Inputs
(/ 1/3 z)
(/ z (/ 1/3 z))

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	96
1	9	96
2	13	96
3	14	96
0	14	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))

Outputs
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))

eval79.0ms (0.9%)

Compiler: Compiled 3493 to 2168 computations (37.9% saved)

prune43.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	291	9	300

Accuracy

100.0%

Counts

300 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))))
✓	96.8%	(+.f64 (+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (.f64 z z))) (.f64 z z))
✓	96.8%	(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
✓	78.3%	(+.f64 (.f64 x y) (.f64 z z))
✓	53.6%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	35.9%	(*.f64 z z)
✓	52.8%	(*.f64 x y)
✓	53.6%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 214 to 110 computations (48.6% saved)

regimes32.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	z
5.0ms	(*.f64 z z)
5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`y`
99.6%	2	`z`
99.6%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
96.8%	1	`(*.f64 x y)`
99.6%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes32.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	y
7.0ms	(*.f64 x y)
5.0ms	x
4.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
82.8%	5	`x`
80.3%	3	`y`
85.8%	3	`(*.f64 x y)`
88.5%	2	`z`
88.5%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.9%	2	`z`
87.9%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.8%	2	`z`
87.8%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)

Outputs
(*.f64 x y)
(*.f64 z z)

Calls

5 calls:

4.0ms	y
3.0ms	z
3.0ms	x
2.0ms	(*.f64 x y)
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
58.1%	7	`x`
59.6%	5	`y`
58.4%	3	`(*.f64 x y)`
78.1%	2	`z`
78.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`(*.f64 x y)`
52.8%	1	`z`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2043457625301799e+308	+inf

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.330357838083783e-51	3.803190983676792e-47

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.330357838083783e-51	3.803190983676792e-47

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.330357838083783e-51	3.803190983676792e-47

Results

7.0ms	124×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 132 to 101 computations (23.5% saved)

Precisions

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

ival-add: 2.0ms (61.9% of total)

ival-mult: 1.0ms (30.9% of total)

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

const: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.982052213026589e+294	2.560726983325053e+302

Results

9.0ms	136×	0	valid
1.0ms	4×	3	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid
0.0ms	1×	4	valid

Compiler

Compiled 128 to 94 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (48.1% of total)

ival-mult: 1.0ms (24% of total)

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

const: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 82 to 33 computations (59.8% saved)

preprocess68.0ms (0.8%)

Remove

(sort x y)

(abs z)

Compiler

Compiled 392 to 194 computations (50.5% saved)

analyze0.0ms (0%)

sample1.1s (13.1%)

preprocess71.0ms (0.8%)

explain81.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize76.0ms (0.9%)

series16.0ms (0.2%)

rewrite937.0ms (10.8%)

simplify453.0ms (5.2%)

eval307.0ms (3.5%)

prune65.0ms (0.7%)

localize252.0ms (2.9%)

series20.0ms (0.2%)

rewrite1.0s (11.6%)

simplify825.0ms (9.5%)

eval310.0ms (3.6%)

prune146.0ms (1.7%)

localize171.0ms (2%)

series20.0ms (0.2%)

rewrite833.0ms (9.6%)

simplify745.0ms (8.6%)

eval259.0ms (3%)

prune236.0ms (2.7%)

localize65.0ms (0.8%)

series2.0ms (0%)

rewrite296.0ms (3.4%)

simplify12.0ms (0.1%)

eval79.0ms (0.9%)

prune43.0ms (0.5%)

regimes32.0ms (0.4%)

regimes32.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch16.0ms (0.2%)

soundness1.0ms (0%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling